public Page9Prob8(bool onoff, bool complete)
: base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 3, 2.5); points.Add(b);
Point c = new Point("C", 0, 5); points.Add(c);
Point d = new Point("D", 10, 5); points.Add(d);
Point e = new Point("E", 13, 2.5); points.Add(e);
Point f = new Point("F", 10, 0); points.Add(f);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ef = new Segment(e, f); segments.Add(ef);
Segment fa = new Segment(f, a); segments.Add(fa);
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, c)), 5);
known.AddSegmentLength(fa, 10);
known.AddSegmentLength(cd, 10);
given.Add(new GeometricCongruentSegments(ab, bc));
given.Add(new GeometricCongruentSegments(ab, de));
given.Add(new GeometricCongruentSegments(ab, ef));
List<Point> wanted = new List<Point>();
wanted.Add(new Point("", 6, 2.5));;
goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted);
SetSolutionArea(50);
}
public Page9Prob8(bool onoff, bool complete) : base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 3, 2.5); points.Add(b);
Point c = new Point("C", 0, 5); points.Add(c);
Point d = new Point("D", 10, 5); points.Add(d);
Point e = new Point("E", 13, 2.5); points.Add(e);
Point f = new Point("F", 10, 0); points.Add(f);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ef = new Segment(e, f); segments.Add(ef);
Segment fa = new Segment(f, a); segments.Add(fa);
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, c)), 5);
known.AddSegmentLength(fa, 10);
known.AddSegmentLength(cd, 10);
given.Add(new GeometricCongruentSegments(ab, bc));
given.Add(new GeometricCongruentSegments(ab, de));
given.Add(new GeometricCongruentSegments(ab, ef));
List <Point> wanted = new List <Point>();
wanted.Add(new Point("", 6, 2.5));;
goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted);
SetSolutionArea(50);
}
public Page9Prob12(bool onoff, bool complete)
: base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 7.5, 10); points.Add(b);
Point c = new Point("C", 0, 20); points.Add(c);
Point d = new Point("D", 7.5, 20); points.Add(d);
Point e = new Point("E", 23, 20); points.Add(e);
Point f = new Point("F", 15.5, 10); points.Add(f);
Point g = new Point("G", 23, 0); points.Add(g);
Point h = new Point("H", 7.5, 0); points.Add(h);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment ef = new Segment(e, f); segments.Add(ef);
Segment fg = new Segment(f, g); segments.Add(fg);
Segment bf = new Segment(b, f); segments.Add(bf);
List<Point> pts = new List<Point>();
pts.Add(c);
pts.Add(d);
pts.Add(e);
collinear.Add(new Collinear(pts));
pts = new List<Point>();
pts.Add(g);
pts.Add(h);
pts.Add(a);
collinear.Add(new Collinear(pts));
pts = new List<Point>();
pts.Add(d);
pts.Add(b);
pts.Add(h);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
Segment ce = (Segment)parser.Get(new Segment(c, e));
Segment ga = (Segment)parser.Get(new Segment(g, a));
known.AddSegmentLength(ce, 23);
known.AddSegmentLength(ga, 23);
known.AddSegmentLength((Segment)parser.Get(new Segment(d, b)), 10);
known.AddSegmentLength((Segment)parser.Get(new Segment(b, h)), 10);
known.AddSegmentLength(bf, 8);
Quadrilateral quad1 = (Quadrilateral)parser.Get(new Quadrilateral(bc, ef, ce, bf));
Quadrilateral quad2 = (Quadrilateral)parser.Get(new Quadrilateral(ab, fg, bf, ga));
given.Add(new Strengthened(quad1, new Trapezoid(quad1)));
given.Add(new Strengthened(quad2, new Trapezoid(quad2)));
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(310);
problemName = "Glencoe Page 9 Problem 12";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page10Prob16(bool onoff, bool complete) : base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 1, 2); points.Add(b);
Point c = new Point("C", 3, 6); points.Add(c);
Point d = new Point("D", 8, 6); points.Add(d);
Point e = new Point("E", 6, 2); points.Add(e);
Point f = new Point("F", 6, 0); points.Add(f);
Point g = new Point("G", 3, 0); points.Add(g);
Point h = new Point("H", 3, 2); points.Add(h);
Segment ac = new Segment(a, c); segments.Add(ac);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ef = new Segment(e, f); segments.Add(ef);
Segment be = new Segment(b, e); segments.Add(be);
List <Point> pts = new List <Point>();
pts.Add(a);
pts.Add(b);
pts.Add(c);
collinear.Add(new Collinear(pts));
pts.Add(a);
pts.Add(g);
pts.Add(f);
collinear.Add(new Collinear(pts));
pts.Add(b);
pts.Add(h);
pts.Add(e);
collinear.Add(new Collinear(pts));
pts.Add(c);
pts.Add(h);
pts.Add(g);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
known.AddSegmentLength(cd, 7);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, f)), 6);
known.AddSegmentLength((Segment)parser.Get(new Segment(g, h)), 2);
known.AddSegmentLength((Segment)parser.Get(new Segment(h, c)), 4);
given.Add(new RightAngle((Angle)parser.Get(new Angle(h, g, f))));
List <Point> wanted = new List <Point>();
wanted.Add(new Point("", 2, 1));
wanted.Add(new Point("", 4, 1));
wanted.Add(new Point("", 2, 3));
wanted.Add(new Point("", 4, 3));
goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted);
SetSolutionArea(32);
}
public Page10Prob16(bool onoff, bool complete)
: base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 1, 2); points.Add(b);
Point c = new Point("C", 3, 6); points.Add(c);
Point d = new Point("D", 8, 6); points.Add(d);
Point e = new Point("E", 6, 2); points.Add(e);
Point f = new Point("F", 6, 0); points.Add(f);
Point g = new Point("G", 3, 0); points.Add(g);
Point h = new Point("H", 3, 2); points.Add(h);
Segment ac = new Segment(a, c); segments.Add(ac);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ef = new Segment(e, f); segments.Add(ef);
Segment be = new Segment(b, e); segments.Add(be);
List<Point> pts = new List<Point>();
pts.Add(a);
pts.Add(b);
pts.Add(c);
collinear.Add(new Collinear(pts));
pts.Add(a);
pts.Add(g);
pts.Add(f);
collinear.Add(new Collinear(pts));
pts.Add(b);
pts.Add(h);
pts.Add(e);
collinear.Add(new Collinear(pts));
pts.Add(c);
pts.Add(h);
pts.Add(g);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
known.AddSegmentLength(cd, 7);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, f)), 6);
known.AddSegmentLength((Segment)parser.Get(new Segment(g, h)), 2);
known.AddSegmentLength((Segment)parser.Get(new Segment(h, c)), 4);
given.Add(new RightAngle((Angle)parser.Get(new Angle(h, g, f))));
List<Point> wanted = new List<Point>();
wanted.Add(new Point("", 2, 1));
wanted.Add(new Point("", 4, 1));
wanted.Add(new Point("", 2, 3));
wanted.Add(new Point("", 4, 3));
goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted);
SetSolutionArea(32);
}
public Page10Prob17(bool onoff, bool complete)
: base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 5); points.Add(b);
Point c = new Point("C", 3, 5 + 3 * System.Math.Sqrt(3)); points.Add(c);
Point d = new Point("D", 6, 5); points.Add(d);
Point e = new Point("E", 9, 5 + 3 * System.Math.Sqrt(3)); points.Add(e);
Point f = new Point("F", 12, 5); points.Add(f);
Point g = new Point("G", 12, 0); points.Add(g);
Point h = new Point("H", 6, 0); points.Add(h);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ef = new Segment(e, f); segments.Add(ef);
Segment fg = new Segment(f, g); segments.Add(fg);
Segment dh = new Segment(d, h); segments.Add(dh);
List<Point> pts = new List<Point>();
pts.Add(a);
pts.Add(h);
pts.Add(g);
collinear.Add(new Collinear(pts));
pts = new List<Point>();
pts.Add(b);
pts.Add(d);
pts.Add(f);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
given.Add(new GeometricCongruentSegments(bc, cd));
given.Add(new GeometricCongruentSegments(bc, de));
given.Add(new GeometricCongruentSegments(bc, ef));
given.Add(new GeometricCongruentSegments(bc, (Segment)parser.Get(new Segment(a, h))));
given.Add(new GeometricCongruentSegments(bc, (Segment)parser.Get(new Segment(h, g))));
given.Add(new RightAngle((Angle)parser.Get(new Angle(d, h, g))));
given.Add(new GeometricCongruentSegments(ab, fg));
given.Add(new GeometricCongruentSegments(dh, fg));
known.AddSegmentLength((Segment)parser.Get(new Segment(a, g)), 12);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, h)), 6);
known.AddSegmentLength(fg, 5);
known.AddSegmentLength(ef, 6);
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(114);
problemName = "Glencoe Page 10 Problem 17";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page10Prob17(bool onoff, bool complete) : base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 5); points.Add(b);
Point c = new Point("C", 3, 5 + 3 * System.Math.Sqrt(3)); points.Add(c);
Point d = new Point("D", 6, 5); points.Add(d);
Point e = new Point("E", 9, 5 + 3 * System.Math.Sqrt(3)); points.Add(e);
Point f = new Point("F", 12, 5); points.Add(f);
Point g = new Point("G", 12, 0); points.Add(g);
Point h = new Point("H", 6, 0); points.Add(h);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ef = new Segment(e, f); segments.Add(ef);
Segment fg = new Segment(f, g); segments.Add(fg);
Segment dh = new Segment(d, h); segments.Add(dh);
List <Point> pts = new List <Point>();
pts.Add(a);
pts.Add(h);
pts.Add(g);
collinear.Add(new Collinear(pts));
pts = new List <Point>();
pts.Add(b);
pts.Add(d);
pts.Add(f);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
given.Add(new GeometricCongruentSegments(bc, cd));
given.Add(new GeometricCongruentSegments(bc, de));
given.Add(new GeometricCongruentSegments(bc, ef));
given.Add(new GeometricCongruentSegments(bc, (Segment)parser.Get(new Segment(a, h))));
given.Add(new GeometricCongruentSegments(bc, (Segment)parser.Get(new Segment(h, g))));
given.Add(new RightAngle((Angle)parser.Get(new Angle(d, h, g))));
given.Add(new GeometricCongruentSegments(ab, fg));
given.Add(new GeometricCongruentSegments(dh, fg));
known.AddSegmentLength((Segment)parser.Get(new Segment(a, g)), 12);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, h)), 6);
known.AddSegmentLength(fg, 5);
known.AddSegmentLength(ef, 6);
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(114);
problemName = "Glencoe Page 10 Problem 17";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page9Prob10(bool onoff, bool complete)
: base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 15); points.Add(b);
Point c = new Point("C", -8, 25); points.Add(c);
Point d = new Point("D", 0, 25); points.Add(d);
Point e = new Point("E", 12, 25); points.Add(e);
Point f = new Point("F", 12, 0); points.Add(f);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment ef = new Segment(e, f); segments.Add(ef);
Segment fa = new Segment(f, a); segments.Add(fa);
List <Point> pts = new List <Point>();
pts.Add(c);
pts.Add(d);
pts.Add(e);
collinear.Add(new Collinear(pts));
pts = new List <Point>();
pts.Add(a);
pts.Add(b);
pts.Add(d);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
known.AddSegmentLength((Segment)parser.Get(new Segment(c, e)), 20);
known.AddSegmentLength((Segment)parser.Get(new Segment(b, d)), 10);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, b)), 15);
known.AddSegmentLength(fa, 12);
Quadrilateral quad = (Quadrilateral)parser.Get(new Quadrilateral((Segment)parser.Get(new Segment(a, d)),
ef, (Segment)parser.Get(new Segment(d, e)), fa));
given.Add(new Strengthened(quad, new Rectangle(quad)));
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(340);
problemName = "Glencoe Page 9 Problem 10";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page10Prob36(bool onoff, bool complete) : base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 9); points.Add(b);
Point c = new Point("C", 8, 9); points.Add(c);
Point d = new Point("D", 12, 9); points.Add(d);
Point e = new Point("E", 12, 0); points.Add(e);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ea = new Segment(e, a); segments.Add(ea);
Point x = new Point("X", 4, 9.0); points.Add(x);
circles.Add(new Circle(x, 4.0));
List <Point> pts = new List <Point>();
pts.Add(b);
pts.Add(x);
pts.Add(c);
pts.Add(d);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
CircleSegmentIntersection csi = new CircleSegmentIntersection(b, circles[0], ab);
given.Add(new Tangent((CircleSegmentIntersection)parser.Get(csi)));
given.Add(new RightAngle((Angle)parser.Get(new Angle(b, a, e))));
given.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(b, d)), ea));
known.AddSegmentLength(ab, 9);
known.AddSegmentLength(cd, 4);
known.AddSegmentLength(ea, 12);
List <Point> wanted = new List <Point>();
wanted.Add(new Point("", 10, 1));
goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted);
SetSolutionArea(108 - 16 * System.Math.PI / 2.0);
problemName = "Glencoe Page 10 Problem 36";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page10Prob35(bool onoff, bool complete) : base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 16, 35); points.Add(b);
Point c = new Point("C", 44, 20); points.Add(c);
Point d = new Point("D", 44, 0); points.Add(d);
Point e = new Point("E", 16, 0); points.Add(e);
Point f = new Point("F", 16, 20); points.Add(f);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment fc = new Segment(f, c); segments.Add(fc);
List <Point> pts = new List <Point>();
pts.Add(a);
pts.Add(e);
pts.Add(d);
collinear.Add(new Collinear(pts));
pts = new List <Point>();
pts.Add(b);
pts.Add(f);
pts.Add(e);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
known.AddSegmentLength((Segment)parser.Get(new Segment(b, f)), 15);
known.AddSegmentLength((Segment)parser.Get(new Segment(f, e)), 20);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, e)), 16);
known.AddSegmentLength((Segment)parser.Get(new Segment(e, d)), 28);
given.Add(new RightAngle((Angle)parser.Get(new Angle(b, f, c))));
given.Add(new RightAngle((Angle)parser.Get(new Angle(f, e, d))));
given.Add(new RightAngle((Angle)parser.Get(new Angle(f, c, d))));
given.Add(new RightAngle((Angle)parser.Get(new Angle(c, d, e))));
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(1050);
problemName = "Glencoe Page 10 Problem 35";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page10Prob35(bool onoff, bool complete)
: base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 16, 35); points.Add(b);
Point c = new Point("C", 44, 20); points.Add(c);
Point d = new Point("D", 44, 0); points.Add(d);
Point e = new Point("E", 16, 0); points.Add(e);
Point f = new Point("F", 16, 20); points.Add(f);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment fc = new Segment(f, c); segments.Add(fc);
List<Point> pts = new List<Point>();
pts.Add(a);
pts.Add(e);
pts.Add(d);
collinear.Add(new Collinear(pts));
pts = new List<Point>();
pts.Add(b);
pts.Add(f);
pts.Add(e);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
known.AddSegmentLength((Segment)parser.Get(new Segment(b, f)), 15);
known.AddSegmentLength((Segment)parser.Get(new Segment(f, e)), 20);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, e)), 16);
known.AddSegmentLength((Segment)parser.Get(new Segment(e, d)), 28);
given.Add(new RightAngle((Angle)parser.Get(new Angle(b, f, c))));
given.Add(new RightAngle((Angle)parser.Get(new Angle(f, e, d))));
given.Add(new RightAngle((Angle)parser.Get(new Angle(f, c, d))));
given.Add(new RightAngle((Angle)parser.Get(new Angle(c, d, e))));
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(1050);
problemName = "Glencoe Page 10 Problem 35";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page9Prob11(bool onoff, bool complete)
: base(onoff, complete)
{
Point o = new Point("O", 54, 31); points.Add(o);
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 62); points.Add(b);
Point c = new Point("C", 54, 62); points.Add(c);
Point d = new Point("D", 81, 31); points.Add(d);
Point e = new Point("E", 54, 0); points.Add(e);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ea = new Segment(e, a); segments.Add(ea);
Segment od = new Segment(o, d); segments.Add(od);
List <Point> pts = new List <Point>();
pts.Add(c);
pts.Add(o);
pts.Add(e);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
known.AddSegmentLength(ab, 62);
known.AddSegmentLength(ea, 54);
known.AddSegmentLength(od, 27);
Segment ce = (Segment)parser.Get(new Segment(c, e));
Quadrilateral quad = (Quadrilateral)parser.Get(new Quadrilateral(ab, ce, bc, ea));
Intersection inter = parser.GetIntersection(od, ce);
given.Add(new Strengthened(quad, new Rectangle(quad)));
given.Add(new Strengthened(inter, new PerpendicularBisector(inter, od)));
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(4185);
problemName = "Glencoe Page 9 Problem 11";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page10Prob8(bool onoff, bool complete)
: base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 8.5, 15); points.Add(b);
Point c = new Point("C", 17, 0); points.Add(c);
Point d = new Point("D", 8.5, -15); points.Add(d);
Point e = new Point("E", 4.25, 7.5); points.Add(e);
Point f = new Point("F", 8.5, 0); points.Add(f);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment fb = new Segment(f, b); segments.Add(fb);
Segment ec = new Segment(e, c); segments.Add(ec);
List<Point> pts = new List<Point>();
pts.Add(a);
pts.Add(e);
pts.Add(d);
collinear.Add(new Collinear(pts));
pts.Add(a);
pts.Add(f);
pts.Add(c);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
known.AddSegmentLength(ec, 15);
known.AddSegmentLength(fb, 6);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, c)), 17);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, d)), 28);
given.Add(new RightAngle((Angle)parser.Get(new Angle(a, f, b))));
List<Point> wanted = new List<Point>();
wanted.Add(new Point("", 4.25, -3));
wanted.Add(new Point("", 9, -8));
wanted.Add(new Point("", 8, 2));
wanted.Add(new Point("", 9, 2));
goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted);
SetSolutionArea(261);
}
public Page10Prob18(bool onoff, bool complete) : base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 7); points.Add(b);
Point c = new Point("C", 7, 7); points.Add(c);
Point d = new Point("D", 7, 0); points.Add(d);
Point o = new Point("O", 0, 3.5); points.Add(o);
Point p = new Point("P", 3.5, 7); points.Add(p);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment da = new Segment(d, a); segments.Add(da);
List <Point> pts = new List <Point>();
pts.Add(b);
pts.Add(o);
pts.Add(a);
collinear.Add(new Collinear(pts));
pts = new List <Point>();
pts.Add(b);
pts.Add(p);
pts.Add(c);
collinear.Add(new Collinear(pts));
circles.Add(new Circle(o, 3.5));
circles.Add(new Circle(p, 3.5));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
Quadrilateral quad = new Quadrilateral((Segment)parser.Get(new Segment(a, b)), cd,
(Segment)parser.Get(new Segment(b, c)), da);
given.Add(new Strengthened(quad, new Square(quad)));
known.AddSegmentLength(cd, 7);
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(49 + (12.25 * System.Math.PI));
problemName = "Glencoe Page 10 Problem 18";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page9Prob10(bool onoff, bool complete)
: base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 15); points.Add(b);
Point c = new Point("C", -8, 25); points.Add(c);
Point d = new Point("D", 0, 25); points.Add(d);
Point e = new Point("E", 12, 25); points.Add(e);
Point f = new Point("F", 12, 0); points.Add(f);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment ef = new Segment(e, f); segments.Add(ef);
Segment fa = new Segment(f, a); segments.Add(fa);
List<Point> pts = new List<Point>();
pts.Add(c);
pts.Add(d);
pts.Add(e);
collinear.Add(new Collinear(pts));
pts = new List<Point>();
pts.Add(a);
pts.Add(b);
pts.Add(d);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
known.AddSegmentLength((Segment)parser.Get(new Segment(c, e)), 20);
known.AddSegmentLength((Segment)parser.Get(new Segment(b, d)), 10);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, b)), 15);
known.AddSegmentLength(fa, 12);
Quadrilateral quad = (Quadrilateral)parser.Get(new Quadrilateral((Segment)parser.Get(new Segment(a, d)),
ef, (Segment)parser.Get(new Segment(d, e)), fa));
given.Add(new Strengthened(quad, new Rectangle(quad)));
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(340);
problemName = "Glencoe Page 9 Problem 10";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page10Prob18(bool onoff, bool complete)
: base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 7); points.Add(b);
Point c = new Point("C", 7, 7); points.Add(c);
Point d = new Point("D", 7, 0); points.Add(d);
Point o = new Point("O", 0, 3.5); points.Add(o);
Point p = new Point("P", 3.5, 7); points.Add(p);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment da = new Segment(d, a); segments.Add(da);
List<Point> pts = new List<Point>();
pts.Add(b);
pts.Add(o);
pts.Add(a);
collinear.Add(new Collinear(pts));
pts = new List<Point>();
pts.Add(b);
pts.Add(p);
pts.Add(c);
collinear.Add(new Collinear(pts));
circles.Add(new Circle(o, 3.5));
circles.Add(new Circle(p, 3.5));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
Quadrilateral quad = new Quadrilateral((Segment)parser.Get(new Segment(a, b)), cd,
(Segment)parser.Get(new Segment(b, c)), da);
given.Add(new Strengthened(quad, new Square(quad)));
known.AddSegmentLength(cd, 7);
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(49 + (12.25 * System.Math.PI));
problemName = "Glencoe Page 10 Problem 18";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page10Prob36(bool onoff, bool complete)
: base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 9); points.Add(b);
Point c = new Point("C", 8, 9); points.Add(c);
Point d = new Point("D", 12, 9); points.Add(d);
Point e = new Point("E", 12, 0); points.Add(e);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ea = new Segment(e, a); segments.Add(ea);
Point x = new Point("X", 4, 9.0); points.Add(x);
circles.Add(new Circle(x, 4.0));
List<Point> pts = new List<Point>();
pts.Add(b);
pts.Add(x);
pts.Add(c);
pts.Add(d);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
CircleSegmentIntersection csi = new CircleSegmentIntersection(b, circles[0], ab);
given.Add(new Tangent((CircleSegmentIntersection)parser.Get(csi)));
given.Add(new RightAngle((Angle)parser.Get(new Angle(b, a, e))));
given.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(b, d)), ea));
known.AddSegmentLength(ab, 9);
known.AddSegmentLength(cd, 4);
known.AddSegmentLength(ea, 12);
List<Point> wanted = new List<Point>();
wanted.Add(new Point("", 10, 1));
goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted);
SetSolutionArea(108 - 16 * System.Math.PI / 2.0);
problemName = "Glencoe Page 10 Problem 36";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page10Prob8(bool onoff, bool complete) : base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 8.5, 15); points.Add(b);
Point c = new Point("C", 17, 0); points.Add(c);
Point d = new Point("D", 8.5, -15); points.Add(d);
Point e = new Point("E", 4.25, 7.5); points.Add(e);
Point f = new Point("F", 8.5, 0); points.Add(f);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment fb = new Segment(f, b); segments.Add(fb);
Segment ec = new Segment(e, c); segments.Add(ec);
List<Point> pts = new List<Point>();
pts.Add(a);
pts.Add(e);
pts.Add(d);
collinear.Add(new Collinear(pts));
pts.Add(a);
pts.Add(f);
pts.Add(c);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
known.AddSegmentLength(ec, 15);
known.AddSegmentLength(fb, 6);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, c)), 17);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, d)), 28);
given.Add(new RightAngle((Angle)parser.Get(new Angle(a, f, b))));
List<Point> wanted = new List<Point>();
wanted.Add(new Point("", 4.25, -3));
wanted.Add(new Point("", 9, -8));
wanted.Add(new Point("", 8, 2));
wanted.Add(new Point("", 9, 2));
goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted);
SetSolutionArea(261);
}
public Page9Prob11(bool onoff, bool complete)
: base(onoff, complete)
{
Point o = new Point("O", 54, 31); points.Add(o);
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 62); points.Add(b);
Point c = new Point("C", 54, 62); points.Add(c);
Point d = new Point("D", 81, 31); points.Add(d);
Point e = new Point("E", 54, 0); points.Add(e);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ea = new Segment(e, a); segments.Add(ea);
Segment od = new Segment(o, d); segments.Add(od);
List<Point> pts = new List<Point>();
pts.Add(c);
pts.Add(o);
pts.Add(e);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
known.AddSegmentLength(ab, 62);
known.AddSegmentLength(ea, 54);
known.AddSegmentLength(od, 27);
Segment ce = (Segment)parser.Get(new Segment(c, e));
Quadrilateral quad = (Quadrilateral)parser.Get(new Quadrilateral(ab, ce, bc, ea));
Intersection inter = parser.GetIntersection(od, ce);
given.Add(new Strengthened(quad, new Rectangle(quad)));
given.Add(new Strengthened(inter, new PerpendicularBisector(inter, od)));
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(4185);
problemName = "Glencoe Page 9 Problem 11";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page10Prob10(bool onoff, bool complete)
: base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", -3, 0); points.Add(b);
Point c = new Point("C", 0, 22); points.Add(c);
Point d = new Point("D", 32, 22); points.Add(d);
Point e = new Point("E", 39, 0); points.Add(e);
Point f = new Point("F", 32, 0); points.Add(f);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ac = new Segment(a, c); segments.Add(ac);
Segment df = new Segment(d, f); segments.Add(df);
List<Point> pts = new List<Point>();
pts.Add(b);
pts.Add(a);
pts.Add(f);
pts.Add(e);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
given.Add(new RightAngle((Angle)parser.Get(new Angle(c, a, f))));
given.Add(new RightAngle((Angle)parser.Get(new Angle(a, f, d))));
given.Add(new GeometricCongruentSegments(ac, df));
known.AddSegmentLength((Segment)parser.Get(new Segment(a, b)), 3);
known.AddSegmentLength((Segment)parser.Get(new Segment(e, f)), 7);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, c)), 22);
known.AddSegmentLength(cd, 32);
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(814);
problemName = "Glencoe Page 10 Problem 10";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page9Prob9(bool onoff, bool complete)
: base(onoff, complete)
{
Point o = new Point("O", 4, 12); points.Add(o);
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 12); points.Add(b);
Point c = new Point("C", 8, 12); points.Add(c);
Point d = new Point("D", 8, 0); points.Add(d);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment da = new Segment(d, a); segments.Add(da);
List <Point> pts = new List <Point>();
pts.Add(b);
pts.Add(o);
pts.Add(c);
collinear.Add(new Collinear(pts));
circles.Add(new Circle(o, 4));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
Quadrilateral quad = (Quadrilateral)parser.Get(new Quadrilateral(ab, cd, (Segment)parser.Get(new Segment(b, c)), da));
known.AddSegmentLength(da, 8);
known.AddSegmentLength(cd, 12);
given.Add(new Strengthened(quad, new Rectangle(quad)));
List <Point> wanted = new List <Point>();
wanted.Add(new Point("", 4, 2));
goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted);
SetSolutionArea(96 - (8 * System.Math.PI));
problemName = "Glencoe Page 9 Problem 9";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page10Prob10(bool onoff, bool complete) : base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", -3, 0); points.Add(b);
Point c = new Point("C", 0, 22); points.Add(c);
Point d = new Point("D", 32, 22); points.Add(d);
Point e = new Point("E", 39, 0); points.Add(e);
Point f = new Point("F", 32, 0); points.Add(f);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ac = new Segment(a, c); segments.Add(ac);
Segment df = new Segment(d, f); segments.Add(df);
List <Point> pts = new List <Point>();
pts.Add(b);
pts.Add(a);
pts.Add(f);
pts.Add(e);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
given.Add(new RightAngle((Angle)parser.Get(new Angle(c, a, f))));
given.Add(new RightAngle((Angle)parser.Get(new Angle(a, f, d))));
given.Add(new GeometricCongruentSegments(ac, df));
known.AddSegmentLength((Segment)parser.Get(new Segment(a, b)), 3);
known.AddSegmentLength((Segment)parser.Get(new Segment(e, f)), 7);
known.AddSegmentLength((Segment)parser.Get(new Segment(a, c)), 22);
known.AddSegmentLength(cd, 32);
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(814);
problemName = "Glencoe Page 10 Problem 10";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page9Prob33(bool onoff, bool complete) : base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 2.5); points.Add(b);
Point c = new Point("C", 0, 5); points.Add(c);
Point d = new Point("D", 5, 5); points.Add(d);
Point e = new Point("E", 5, 0); points.Add(e);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ea = new Segment(e, a); segments.Add(ea);
List <Point> pts = new List <Point>();
pts.Add(a);
pts.Add(b);
pts.Add(c);
collinear.Add(new Collinear(pts));
circles.Add(new Circle(b, 2.5));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
Quadrilateral quad = new Quadrilateral((Segment)parser.Get(new Segment(a, c)), de, cd, ea);
given.Add(new Strengthened(quad, new Square(quad)));
known.AddSegmentLength(cd, 5);
List <Point> wanted = new List <Point>();
wanted.Add(new Point("", 4, 4));
goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted);
SetSolutionArea(25 - (2.5 * 2.5 * System.Math.PI / 2.0));
problemName = "Glencoe Page 9 Problem 33";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page9Prob9(bool onoff, bool complete)
: base(onoff, complete)
{
Point o = new Point("O", 4, 12); points.Add(o);
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 12); points.Add(b);
Point c = new Point("C", 8, 12); points.Add(c);
Point d = new Point("D", 8, 0); points.Add(d);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment da = new Segment(d, a); segments.Add(da);
List<Point> pts = new List<Point>();
pts.Add(b);
pts.Add(o);
pts.Add(c);
collinear.Add(new Collinear(pts));
circles.Add(new Circle(o, 4));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
Quadrilateral quad = (Quadrilateral)parser.Get(new Quadrilateral(ab, cd, (Segment)parser.Get(new Segment(b, c)), da));
known.AddSegmentLength(da, 8);
known.AddSegmentLength(cd, 12);
given.Add(new Strengthened(quad, new Rectangle(quad)));
List<Point> wanted = new List<Point>();
wanted.Add(new Point("", 4, 2));
goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted);
SetSolutionArea(96 - (8 * System.Math.PI));
problemName = "Glencoe Page 9 Problem 9";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page9Prob33(bool onoff, bool complete)
: base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 0, 2.5); points.Add(b);
Point c = new Point("C", 0, 5); points.Add(c);
Point d = new Point("D", 5, 5); points.Add(d);
Point e = new Point("E", 5, 0); points.Add(e);
Segment cd = new Segment(c, d); segments.Add(cd);
Segment de = new Segment(d, e); segments.Add(de);
Segment ea = new Segment(e, a); segments.Add(ea);
List<Point> pts = new List<Point>();
pts.Add(a);
pts.Add(b);
pts.Add(c);
collinear.Add(new Collinear(pts));
circles.Add(new Circle(b, 2.5));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
Quadrilateral quad = new Quadrilateral((Segment)parser.Get(new Segment(a, c)), de, cd, ea);
given.Add(new Strengthened(quad, new Square(quad)));
known.AddSegmentLength(cd, 5);
List<Point> wanted = new List<Point>();
wanted.Add(new Point("", 4, 4));
goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted);
SetSolutionArea(25 - (2.5 * 2.5 * System.Math.PI / 2.0));
problemName = "Glencoe Page 9 Problem 33";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
public Page9Prob12(bool onoff, bool complete)
: base(onoff, complete)
{
Point a = new Point("A", 0, 0); points.Add(a);
Point b = new Point("B", 7.5, 10); points.Add(b);
Point c = new Point("C", 0, 20); points.Add(c);
Point d = new Point("D", 7.5, 20); points.Add(d);
Point e = new Point("E", 23, 20); points.Add(e);
Point f = new Point("F", 15.5, 10); points.Add(f);
Point g = new Point("G", 23, 0); points.Add(g);
Point h = new Point("H", 7.5, 0); points.Add(h);
Segment ab = new Segment(a, b); segments.Add(ab);
Segment bc = new Segment(b, c); segments.Add(bc);
Segment ef = new Segment(e, f); segments.Add(ef);
Segment fg = new Segment(f, g); segments.Add(fg);
Segment bf = new Segment(b, f); segments.Add(bf);
List <Point> pts = new List <Point>();
pts.Add(c);
pts.Add(d);
pts.Add(e);
collinear.Add(new Collinear(pts));
pts = new List <Point>();
pts.Add(g);
pts.Add(h);
pts.Add(a);
collinear.Add(new Collinear(pts));
pts = new List <Point>();
pts.Add(d);
pts.Add(b);
pts.Add(h);
collinear.Add(new Collinear(pts));
parser = new TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff);
Segment ce = (Segment)parser.Get(new Segment(c, e));
Segment ga = (Segment)parser.Get(new Segment(g, a));
known.AddSegmentLength(ce, 23);
known.AddSegmentLength(ga, 23);
known.AddSegmentLength((Segment)parser.Get(new Segment(d, b)), 10);
known.AddSegmentLength((Segment)parser.Get(new Segment(b, h)), 10);
known.AddSegmentLength(bf, 8);
Quadrilateral quad1 = (Quadrilateral)parser.Get(new Quadrilateral(bc, ef, ce, bf));
Quadrilateral quad2 = (Quadrilateral)parser.Get(new Quadrilateral(ab, fg, bf, ga));
given.Add(new Strengthened(quad1, new Trapezoid(quad1)));
given.Add(new Strengthened(quad2, new Trapezoid(quad2)));
goalRegions = parser.implied.GetAllAtomicRegions();
SetSolutionArea(310);
problemName = "Glencoe Page 9 Problem 12";
GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments);
}
