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Problem 1.
Triangle angles, median, congruence, isosceles, equilateral.
Problem 2.
Triangle and angles 80-80-20 degrees.
Problem 3.
Triangle, median and angles, 45 degrees.
Problem 4.
Quadrilateral, equal sides and angles 30-60, 120 degrees.
Problem 5.
Triangle, cevian, equal segments, and angles, congruence.
Problem 6.
Triangle, cevian, equal segments, and angles, congruence.
Problem 7.
Triangle, cevian, equal segments, and angles, congruence.
Problem 8.
Triangles, equal segments, and angles 45-45 degrees.
Problem 9.
Triangles, equal segments, and angles.
Problem 10.
Triangle, cevian, equal segments, and angles
Problem 11.
Right triangle, cevian, and angles.
Problem 12.
Triangle, cevian, equal segments, and angles.
Problem 13.
Triangle, cevian, equal segments, and angles.
Problem 14.
Triangle, median, and angles
Problem 15.
Triangle, cevian, sum of segments, and angles.
Problem 16.
Triangle, cevian, perpendicular, and angles.
Problem 17.
Right triangle, altitude, and angles.
Problem 18.
Right triangle, cevian, and angles.
Problem 19.
Right triangle, perpendicular, and Excenter.
Problem 20.
Right triangle, altitude, incircles and inradii.
Problem 21.
Acute triangle, orthocenter, diameter, tangent.
Problem 22. Right triangle, altitudes, incircles and inradii.
Problem 23.
Right triangle, altitude, incircles and inradii.
Problem 24.
Right triangle, altitude, incircles and inradii
Problem 25.
Right triangle, altitude, incircles and inradius.
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Problem 26.
Right triangle, altitude, incircles and inradius.
Problem 27.
Right Triangle, incircles and inradius
Problem 28.
Right Triangle, altitude, incircles and inradius.
Problem 29.
Right Triangle, altitude, incircle and inradius. Ten
conclusions.
Problem 29: Geometry Help.
Facts you should know.
Problem 30.
Right Triangle, Incircle, Inradius.
Problem 31.
Right Triangle, Incircle, Collinears.
Problem 32.
Triangle, Cevian, Incircles, Tangents.
Problem 33.
Triangle and quadrilateral.
Problem 34.
Right triangle, Cevian, Incircle, Tangent, Inradius
Problem 35.
Incenters and Inradii in Cyclic Quadrilateral.
Problem 36.
Right triangle, altitude, incircles and inradii
Problem 37.
Right triangle, altitude, incircles, incenters, orthocenter.
Problem 38.
Right triangle, altitude, incircles, incenters, and angles.
Problem 39 Geometry Help.
Facts you should know
Problem 39.
Triangle, Incircle, Bisector, Cyclic Quadrilateral and angles.
Problem 40. Geometry Help.
Problem 40.
Triangle, incenter, excenter, angle 80, 40 distance
Problem 41.
"Mickey Mouse." Three circles, tangents, radii.
Problem 42.
Angles, equal segments, and triangles.
Problem 43. Angles equal segments, and triangles
Problem 44.
Angles, triangles
Problem 45.
Angles, triangles.
Problem 46.
Triangle, median, and angles.
Problem 47.
Triangle, median, and angles.
Problem 48.
Angles triangles.
Problem 49.
Right triangle, cevian, perpendicular, angles
Problem 50.
Triangle with Equilateral triangles
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Problem 51: Fagnano's Problem
Inscribed Triangle with the Minimum Perimeter.
Problem 52:
Angle bisector, circles.
Problem 53: Angle bisector, circles.
Problem 54. Angle bisector, Circles, Midpoint of arc.
Problem 55:
Angle bisector, Circles, Cyclic Quadrilateral
Problem 56:
Angle bisector, Circles, Parallel Lines.
Problem 57:
Angle bisector, Circles, Cyclic Quadrilateral.
Problem 58:
Right Triangle, Congruence, Perpendiculars
Problem 59: Right & Equilateral Triangles, Midpoints.
Problem 60: Isosceles triangle, congruence, equilateral.
Problem
61:
Trisection of Sides of a triangle, Menelaus theorem
Problem 62.
Square Diagonal, Inscribed Circle.
Problem 63. Regular Heptagon, side and diagonals, Ptolemy theorem
Problem 64:
Triangle, Incircle, Transversal, Menelaus theorem.
Problem 65:
Right Triangle, Midpoints.
Problem 66:
Triangle, Excircle, Tangents, Geometric Mean, Similarity.
Problem 67:
Triangle, Circumcircle, Angles, Cyclic Quadrilateral.
Problem 68:
Triangle, Incircle, Inradius, Tangent, Similarity
Problem 69:
Square inscribed in a triangle, Similarity.
Problem 70:
Square inscribed in a triangle, Similarity.
Problem 71.
Cyclic quadrilateral, inscribed angle.
Problem 72.
Intersecting Circles, Chords, Parallel.
Problem 73.
Three Intersecting Circles. Cyclic quadrilateral.
Problem 74.
Three Intersecting Circles. Cyclic quadrilateral.
Problem 75.
Three Intersecting Circles. Cyclic quadrilateral.
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Problem 76.
Area of a circle, square, circular sector.
Problem 77.
Circle, Parallel lines, Cyclic quadrilateral.
Problem 78:
Circle, Perpendicular and parallel lines, Midpoint, Cyclic
quadrilateral, Congruence.
Problem 79:
Similar triangle.
Problem 80:
Area of triangle, side, incircle, inradius.
Problem 81:
Area of triangle, side, inradius, circumradius.
Problem 82:
Area of Contact Triangle, inradius, circumradius.
Problem 83.
Area of the Excircle Contact Triangle, exradius,
circumradius.
Problem 84.
Contact Triangles Areas, Incircle, Excircle, Inradius,
Exradius.
Problem 85.
Contact Triangles Areas, Incircle, Excircle.
Problem 86.
Intouch and Extouch Triangles, Areas.
Problem 87.
Area of Quadrilaterals and Midpoints of Diagonals.
Problem 88.
Triangle and Quadrilateral Areas, Midpoints.
Problem 89.
Triangle Areas, Midpoints.
Problem 90.
Quadrilateral and Triangle Areas, Midpoints.
Problem 91.
Similar Triangles, Altitude, Parallel.
Problem 92.
Similar Triangles, Circumcircles, Circumradii, Parallel.
Problem 93.
Similar Triangles, Circumcircles, Parallelogram.
Problem 94.
Similar Triangles, Circumcircles, Circumradii.
Problem 95.
Similar Triangles, Inradii, Parallel.
Problem 96.
Similar Triangles, Incenters, Parallelogram.
Problem 97.
Similar Triangles, Areas.
Problem 98.
Quadrilateral Area, Centroid, Similarity.
Problem 99:
Circle Area, General Extension to Pythagoras' Theorem.
Problem 100.
Circle Area, Archimedes' Book of Lemmas
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