Geometry Theorems and Problems - Recent Additions (Page
2 of 15)
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![Euclidean Geometry](euclidean_geometry_17.jpg) |
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![Geometry problem 1143](../school-college/2/p1143-brain-geometry-triangle-circle-reflection-tangent-1.jpg) |
Geometry Problem 1143.
Triangle, Circumcircle, Tangent Line, Reflection of a Point over a Line, Tangent Circles, Collinear Points. |
![Geometry problem 1142](../school-college/2/p1142-variable-geometry-cyclic-quadrilateral-circle-isogonal-circumcenter-1.jpg) |
Geometry Problem 1142.
Cyclic Quadrilateral, Isogonal Lines, Circle, Center, Radius, Perpendicular Bisector, Circumcenter. |
![Geometry problem 1141](../school-college/2/p1141-positive-geometry-pentagon-triangle-circle-concurrent-mindmap-1.jpg) |
Geometry Problem 1141.
Inscribed Pentagon, Circle, Triangle, Congruence, Midpoint, Concurrency. |
![Geometry problem 1140](../school-college/2/p1140-triangle-circumcircle-collinear-points-1.jpg) |
Geometry Problem 1140.
Triangle, Circumcircle, Circle, Center, Collinear Points. |
![Geometry problem 1139](../school-college/2/p1139-triangle-circumcircle-bisector-parallel-90-degrees-concurrent-1.jpg) |
Geometry Problem 1139.
Triangle, Circumcircle, Angle Bisector, Parallel Lines, 90 Degrees, Concurrent Lines. |
![Geometry problem 1138](../school-college/2/p1138-square-circle-perpendicular-90-degrees-angle-1.jpg) |
Geometry Problem 1138.
Square, Perpendicular, Angle, 90 Degrees, Triangle, Congruence. |
![Geometry problem 1137](../school-college/2/p1137-triangle-orthocenter-circle-midpoint-collinear-1.jpg) |
Geometry Problem 1137.
Triangle, Circumcircle, Orthocenter, Midpoint, Arc, Collinear Points, Tangent Circles. |
![Geometry problem 1136](../school-college/2/p1136-triangle-circumcircle-orthocenter-90-degrees-midpoint-1.jpg) |
Geometry Problem 1136.
Triangle, Circumcircle, Orthocenter, Midpoint, Arc, 90 Degrees, Angle. |
![Geometry problem 1135](../school-college/2/p1135-intersecting-circles-secant-90-degrees-perpendicular-similar-1.jpg) |
Geometry Problem 1135.
Intersecting Circles, Secant, Parallel Line, 90 Degrees, Similar Triangles. |
![Geometry problem 1134](../school-college/2/p1134-circle-tangent-circumcenter-circumcircle-triangle-1.jpg) |
Geometry Problem 1134.
Tangent Circles, Tangent Line, Circumcircle, Circumcenter. |
![Geometry problem 1133](../school-college/2/p1133-triangle-circle-chord-tangent-similarity-1.jpg) |
Geometry Problem 1133.
Circle, Chord, Tangent, Circumcircle, Similarity, Equal Product. |
![Geometry problem 1132](../school-college/2/p1132-triangle-excircle-parallel-midpoint-tangent-1.jpg) |
Geometry Problem 1132.
Triangle, Excircle, Tangency Point, Parallel, Midpoint. |
![Geometry problem 1131](../school-college/2/p1131-triangle-area-cevian-equal-product-problem-solving-1.jpg) |
Geometry Problem 1131.
Triangle Area, Two Cevians, Equal Product of Areas. |
![Geometry problem 1130](../school-college/2/p1130-cyclic-quadrilateral-diagonal-angle-bisector-congruence-1.jpg) |
Geometry Problem 1130.
Cyclic Quadrilateral, Diagonals, Angle Bisector, Congruent Angles. |
![Geometry problem 1129](../school-college/2/p1129-isosceles-triangle-incenter-circumcenter-parallel-perpendicular-1.jpg) |
Geometry Problem 1129.
Isosceles Triangle, Circumcenter, Incenter, Parallel Lines, Perpendicular Lines. |
![Geometry problem 1128](../school-college/2/p1128-right-triangle-median-parallel-angle-hypotenuse-1.jpg) |
Geometry Problem 1128.
Right Triangles, Medians, Parallel, Angles, Congruence, Half the measure. |
![Geometry problem 1127](../school-college/2/p1127-triangle-circumcircle-tangent-diameter-90-degrees-1.jpg) |
Geometry Problem 1127.
Triangle, Circumcircle, Tangent, Circle, Diameter, Midpoint, Perpendicular, 90 Degrees. |
![Geometry problem 1126](../school-college/2/p1126-equilateral-triangle-circumcircle-harmonic-mean-1.jpg) |
Geometry Problem 1126.
Equilateral Triangle, Circumcircle, Metric Relation, Harmonic Mean. |
![Geometry problem 1125](../school-college/2/p1125-triangle-four-equilateral-centroid-midpoint-1.jpg) |
Geometry Problem 1125.
Triangle, Four Equilateral Triangles, Centroid, Midpoint. |
![Geometry problem 1124](../school-college/2/p1124-triangle-median-square-area-math-1.jpg) |
Geometry Problem 1124.
Triangle, Median, Two Squares, Area. |
![Geometry problem 1123](../school-college/2/p1123-triangle-perpendicular-hexagon-area-math-1.jpg) |
Geometry Problem 1123.
Hexagon, Triangle, 90 Degrees, Perpendicular Lines, Vertices, Area. |
![Geometry problem 1122](../school-college/2/p1122-triangle-orthocenter-90-degree-midpoint-collinear-math-1.jpg) |
Geometry Problem 1122.
Triangle, 90 Degree, Perpendicular Lines, Orthocenter, Altitude, Midpoint, Collinear Points.
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![Problem 1121 Casey Theorem](../equilic/casey_theorem_ptolemy_170.jpg) |
Geometry Problem 1121: Casey's Theorem. Generalized Ptolemy's Theorem.
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![Geometry Problem 1120](../school-college/2/p1120-isosceles-right-triangle-equilateral-metric-relation-math-1.jpg) |
Geometry Problem
1120.
Isosceles Right Triangle, 120 Degree, Angle, Equilateral, Metric Relations. |
![Geometry Problem 1119](../school-college/2/p1119-quadrilateral-similar-triangle-midpoint-ratio-angle-math-1.jpg) |
Geometry Problem
1119.
Quadrilateral, Similar Triangles, Midpoints, Equal Ratio, Angles. |
![Geometry Problem 1118](../school-college/2/p1118-right-triangle-angle-trisector-concyclic-quadrilateral-math-1.jpg) |
Geometry Problem
1118.
Right Triangle, Angle Trisection, Concyclic Points, Cyclic Quadrilateral. |
![Geometry Problem 1117](../school-college/2/p1117-right-triangle-angle-trisector-parallel-math-1.jpg) |
Geometry Problem
1117.
Right Triangle, Angle Trisection, 90 Degrees, Parallel Lines. |
![Geometry Problem 1116](../school-college/2/p1116-right-triangle-angle-trisector-90-degree-math-1.jpg) |
Geometry Problem
1116.
Right Triangle, Angle Trisection, 90 Degrees, Perpendicular Lines. |
![Geometry Problem 1115](../school-college/2/p1115-right-triangle-angle-trisector-equilateral-math-1.jpg) |
Geometry Problem
1115.
Right Triangle, Angle Trisection, Equilateral Triangle. |
![Geometry Problem 1114](../school-college/2/p1114-right-triangle-angle-trisector-isosceles-congruence-math-1.jpg) |
Geometry Problem
1114.
Right Triangle, Angle Trisection, Isosceles, Congruence. |
![Geometry Problem 1113](../school-college/2/p1113-triangle-perpendicular-bisector-concyclic-circle-math-1.jpg) |
Geometry Problem
1113.
Triangle, Perpendicular Bisector, 90 Degrees, Circle, Concyclic Points, Cyclic Quadrilateral. |
![Geometry Problem 1112](../school-college/2/p1112-triangle-excenter-circumcircle-hexagon-area-math-1.jpg) |
Geometry Problem
1112.
Triangle, Excenters, Circumcircle, Circle, Hexagon, Area. |
![Geometry Problem 1111](../school-college/2/p1111-right-triangle-square-angle-bisector-area-geometric-mean-math-1.jpg) |
Geometry Problem
1111.
Right Triangle, External Squares, Cathetus, Angle Bisector, Area, Geometric Mean. |
![Geometry Problem 1110](../school-college/2/p1110-right-triangle-square-angle-bisector-math-1.jpg) |
Geometry Problem
1110.
Right Triangle, External Squares, Catheti, Cathetus, Angle Bisector, 45 Degree, Internal Square. |
![Geometry Problem 1109](../school-college/2/p1109-right-triangle-square-45-degree-angle-math-1.jpg) |
Geometry Problem
1109.
Right Triangle, External Squares, Catheti, Cathetus, 45 Degree, Angle. |
![Geometry Problem 1108](../school-college/2/p1108-right-triangle-square-harmonic-mean-congruence-math-1.jpg) |
Geometry Problem
1108.
Right Triangle, External Squares, Catheti, Congruence, Harmonic Mean. |
![Geometry Problem 1107](../school-college/2/p1107-triangle-circumcircle-circle-congruence-math-tutor-1.jpg) |
Geometry Problem
1107.
Triangle, Circumcircle, Circle, Radius, Tangent, Chord, Congruence. |
![Geometry Problem 1106](../school-college/2/p1106-regular-hexagon-congruence-diagonal-collinear-points-math-1.jpg) |
Geometry Problem
1106.
Regular Hexagon, Congruence, Diagonal, Collinear Points. |
![Geometry Problem 1105](../school-college/2/p1105-triangle-cevian-incircle-excircle-congruence-geometric-mean-math-tutor-1.jpg) |
Geometry Problem
1105.
Triangle, Incircle, Excircle, Cevian, Tangent, Congruence, Geometric Mean. |
![Geometry Problem 1104](../school-college/2/p1104-right-triangle-tangent-circle-radius-math-tutor-1.jpg) |
Geometry Problem
1104.
Right Triangle, Incircle, Circumcircle, Inscribed Circle, Radius,
Tangent. |
![Geometry Problem 1103](../school-college/2/p1103-right-triangle-circle-radius-geometric-mean-math-sangaku-1.jpg) |
Geometry Problem
1103.
Right Triangle, Incircle, Inscribed Circle, Radius, Geometric Mean, Sangaku, Japanese, Metric Relations. |
![Geometry Problem 1102](../school-college/2/p1102-right-triangle-circle-perpendicular-incircle-cathetus-math-1.jpg) |
Geometry Problem
1102.
Right Triangle, Incircle, Tangency Point, 90 Degree, Cathetus, Metric Relations. |
![Geometry Problem 1101](../school-college/2/p1101-triangle-circles-parallel-radius-incircle-math-1.jpg) |
Geometry Problem
1101.
Triangle, Parallel Lines, Circle, Incircle, Inradius, Radius, Angle. |
![Geometry Problem 1100](../school-college/1/p1100-triangle-circle-angle-center-radius-math-1.jpg) |
Geometry Problem
1100.
Triangle, Circle, Centers, Vertex, Radius, Angle. |
![Geometry Problem 1099](../school-college/1/p1099-four-circles-common-external-internal-tangent-radius-sangaku-1.jpg) |
Geometry Problem
1099.
Four Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations,
Sangaku Japanese Geometry. |
![Geometry Problem 1098](../school-college/1/p1098-circles-common-external-internal-tangent-radius-product-1.jpg) |
Geometry Problem
1098.
Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations. |
![Geometry Problem 1097](../school-college/1/p1097-quadrilateral-area-inscribed-circle-radius-90-degree-1.jpg) |
Geometry Problem
1097.
Quadrilateral, Inscribed Circle, 90 Degree, Angle, Area. |
![Geometry Problem 1096](../school-college/1/p1096-four-tangent-circles-common-tangent-chord-radius-math-1.jpg) |
Geometry Problem
1096.
Tangent Circles, Common Tangent, Chord, Radius, Center. |
![Geometry Problem 1095](../school-college/1/p1095-tangent-circles-common-tangent-radius-geometric-mean-math-1.jpg) |
Geometry Problem
1095.
Externally Tangent Circles, Common Tangent, Radius, Metric Relations. |
![Geometry Problem 1094](../school-college/1/p1094-tangent-circles-chord-sagitta-radius-math-1.jpg) |
Geometry Problem
1094.
Tangent Circles, Tangent Chord, Radius, Sagitta of Arc. |
![Geometry Problem 1093](../school-college/1/p1093-square-circle-tangent-radius-side-sangaku-japanese-math-1.jpg) |
Geometry Problem
1093.
Square, Circle, Tangent, Radius, Side, Sangaku, Japanese Geometry Problem. |
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Email | By Antonio Gutierrez
Last updated: Feb 5, 2016
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