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theorems and postulates relating to congruent triangles (chp. 4)

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Hypothesis
conclusion
The sum of the measures of the angles of a triangle   180  
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If two angles of one triangle are congruent to two angles of a second triangle, then   the third angles of the triangles are congruent  
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The measure of the exterior angle of a triangle is equal   to the sum of the measures of the two remote interior angles  
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The acute angles of a right triangle are   complementary  
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There can be at most   one right or obtuse angle in a triangle  
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If the sides of one triangle are congruent to the sides of a second triangle, then   the triangles are congruent  
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If two angles and the included side of one triangle are congruent to the corresponding two angles and side of a second triangle, then   the two triangles are congruent  
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If the legs of one right triangle are congruent to the corresponding legs of another right triangle, then   the triangles are congruent  
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Congruence of triangles is   reflexive, symmetric, and transitive  
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If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then   the triangles are congruent  
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If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle   the triangles are congruent  
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If the hypotenuse and acute angle of one right triangle are congruent to the hypotenuse and corresponding acute angle of another right triagle, then   the two triangles are congruent  
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If one leg and an acute angle of one right triangle are congruent to the corrsponding leg and acute angle of another right triangle, then   the triangles are congruent  
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If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then   the triangles are congruent  
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If two sides of a triangle are congruent, then   the angles opposite those sides are congruent  
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If two angles of a triangle are congruent, then   the sides opposite those angles are congruent  
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A triangle is equilateral if and only if   it is equiangular  
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Each angle of an equilateral triangle measures   60 degrees  
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Created by: m.meyer
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