Geometry Theorems and Postulates and Definitions
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16 terms
Terms | Definitions |
|---|---|
 Reflexive Property | Any segment or angle is congruent to itself. |
| SSS (side-side-side) | If the 3 sides of a triangle are congruent to the corresponding sides of the other triangle, then the two triangles are congruent. |
| SAS (side-angle-side) | If 2 sides of one triangle and the included angle are congruent to the corresponding sides and angle of the other triangle then the two triangles are congruent. |
| ASA (angle-side-angle) | If 2 angles and the included side of one triangle are congruent to the corresponding side and angles of the other triangle, then the 2 triangles are congruent. |
| HL (hypotenuse-leg) | Two right triangles are congruent if the corresponding hypotenuses are congruent and 1 pair of corresponding legs are congruent. |
| Right ∠'s are ≅ | If two angles are right angles then, they are congruent. |
| Straight ∠'s are ≅ | If two angles are straight angles then they are congruent. |
| ∠'s supp to the same ∠'s are ≅ | If two angles are supplementary to the same angle, then they are congruent. |
| ∠'s supp to ≅ ∠'s are ≅ | If two angles are supplementary to congruent angles, then they are congruent to each other. |
| ∠'s comp to the same ∠'s are ≅ | If two angles are complementary to same angle, then they are congruent. |
| ∠'s comp to ≅ ∠'s are ≅ | If two angles are complementary to congruent angles, then they are congruent to each other. |
| Converse of a Conditional Statement | If Q, then P |
| Conditional Statement | If P, then Q |
| Inverse of a Conditional Statement | If not P, then not Q |
| Contrapositive of a Conditional Statement | If not Q, then not P |
| If a conditional statement is true, then the contrapositive is true as well. | If p, then q ↔ If ~p, then ~q |
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