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triangle congruence

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Question
Answer
when c is a right angle in triangle abc, a+b=90 degrees   corollary to the triangle sum theorem  
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in triangle ABC, angle B has an extended exterior angle 1. a+c= the measure of angle 1   Exterior angles theorem  
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Equilateral, scalene, isosceles   classify by sides  
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equiangular, obtuse, acute, right   classify by angles  
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in triangle ABC, angla A + angla B+ angle C= 180 degrees   triangle sum theorem  
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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  
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If all sides are congruent, then the triangles are congruent   SSS congruence postulate  
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If a Side, touching angle, and side are congruent, then the triangles are congruent   SAS congruence postulate  
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If an angle, touching angle, and side are congruent, the triangles are congruent   AAS congruence theorem  
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If an angle, touching side, and angle are congruent, the triangles are congruent   ASA congruence postulate  
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If the triangle is isosceles, the base angles are congruent   base angles theorem  
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If the base angles are congruent, the triangle is isosceles   converse of base angles theorem  
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If the triangle is equilateral, then it is equiangular   corollory to the base angle theorem  
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If the triangle is equiangular, then it is equilateral   Corallory to the converse of the base angles theorem  
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If they are right triangles and the hypotenuse and one leg are congruent, then the triangles are congruent   HL congruence theorem  
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If all sides and all angles are congruent, the triangles are congruent.   definiton of congruent triangles  
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