Help
Options
Didn't know it?
click below
click below
Knew it?
click below
click below
Don't Know
Remaining cards (0)
Know
retry
shuffle
restart
0:00
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
pGeo C5 Post/The/Cor
pGeometry C5 Postulates/Theorems/Corollaries
| Term | Definition |
|---|---|
| Triangle Sum Theorem | The sum of the measures 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 nonadjacent interior angle |
| Corollary to the Triangle Sum Theorem | The acute angles of a right triangle are complementary. |
| Reflexive Property of Triangle Congruence | For any triangle △ABC, △ABC ≅ △ABC. |
| Symmetric Property of Triangle Congruence | If △ABC ≅ △DEF, then △DEF ≅ △ABC. |
| Transitive Property of Triangle Congruence | If △ABC ≅ △DEF and △DEF ≅ △JKL, then △ABC ≅ △JKL. |
| 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 Angles Theorem | If two sides of a 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 sides opposite them are congruent. |
| Corollary to the 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 are 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. |
Created by:
PRO Teacher
shelleypruit
Popular Math sets