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# chapter 4

### triangle congruence

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