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# Geometry

### Postulates and Theorems for Ch. 4

Triangle Sum Theorem the sum of the measures of the interior angles of a triangle is 180 degrees
Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles
Corollary to triangle sum theorem The acute angles of a right triangle are complementary
Third Angle Theorem If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.
Base Angles Theorem If two sides of a triangle are congruent, then the angles opposite them are congruent
Converse of the Base Angles Theorem If two angles of a triangle are congruent, then the sides opposite them are congruent.
Side-Side-Side Congruence Postulate (SSS) If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent
Side-Angle-Side Congruence Postulate (SAS) If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent
Hypotenuse-Leg (HL) Congruence Theorem If the hypotenuse and a leg of a triangle are congruent to the hypotenuse and a leg of a second triangle, then the two triangles are congruent.
Angle-Side-Angle Congruence Postulate (ASA) If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent
Angle-Angle-Side Congruence Postulate (AAS) If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the two triangles are congruent
Created by: 12tsherman