Math theorems Chapter 5

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Cards (17)

  • Triangle Sum theorem - The sum of the measure of the interior angles of a triangle is 180°
  • Exterior Angle Theorem - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non adjacent interior angles
  • Two polygons are congruent when All corresponding sides are congruent AND All corresponding angles are congruent
  • Reflexive Property of Triangle Congruence - For any triangle △ABC, △ABC is congruent to △ABC≅△ABC
  • Symmetric Properties of Triangle Congruence - If △ABC≅△DEF, then △DEF≅△ABC
  • Transitive Property of Triangle Congruence - If △ABC ≅△DEF and △DEF≅ △JKL, △ABC ≅ △JK
  • Third Angles Theorem - If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent
  • Side-Angle-Side (SAS) Congruence Theorem - If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent
  • Base Angle Theorem - If two sides of an isosceles triangle are congruent, then the angles opposite them are congruent
  • Converse of the Base Angles Theorem - If two angles of a triangle are congruent, then the side opposite them are congruent
  • Corollary to Base Angles Theorem - If a triangle is equilateral, then it is equiangular
  • Corollary to the Converse of the Base Angles Theorem - If a triangle is equiangular, then it is equilateral
  • Side-Side-Side (SSS) Congruence Theorem - If three sides of one triangle congruent to three sides of a second triangle, then the two triangles are congruent
  • Hypotenuse-Leg (HL) Congruence Theorem - If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent
  • Angle-Side-Angle (ASA) Congruence Theorem - If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent
  • Angle-Angle-Side (AAS) Congruence Theorem - If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle. then the two triangles are congruent
  • CPCTC - Corresponding parts of congruent Triangles are congruent