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chapter 4
triangle congruence
| Question | Answer |
|---|---|
| when c is a right angle in triangle abc, a+b=90 degrees | corollary to the triangle sum theorem |
| in triangle ABC, angle B has an extended exterior angle 1. a+c= the measure of angle 1 | Exterior angles theorem |
| Equilateral, scalene, isosceles | classify by sides |
| equiangular, obtuse, acute, right | classify by angles |
| in triangle ABC, angla A + angla B+ angle C= 180 degrees | triangle sum theorem |
| In triangle TPO and triangle, SGF, angle T is congruent to angle S, and angle P is congruent to angle G, so angle O is congruent to angle F | Third Angles Theorem |
| If all sides are congruent, then the triangles are congruent | SSS congruence postulate |
| If a Side, touching angle, and side are congruent, then the triangles are congruent | SAS congruence postulate |
| If an angle, touching angle, and side are congruent, the triangles are congruent | AAS congruence theorem |
| If an angle, touching side, and angle are congruent, the triangles are congruent | ASA congruence postulate |
| If the triangle is isosceles, the base angles are congruent | base angles theorem |
| If the base angles are congruent, the triangle is isosceles | converse of base angles theorem |
| If the triangle is equilateral, then it is equiangular | corollory to the base angle theorem |
| If the triangle is equiangular, then it is equilateral | Corallory to the converse of the base angles theorem |
| If they are right triangles and the hypotenuse and one leg are congruent, then the triangles are congruent | HL congruence theorem |
| If all sides and all angles are congruent, the triangles are congruent. | definiton of congruent triangles |
Created by:
bellesies
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