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Geometry Chapter 4 Postulate 20 â Side-Angle-Side (SAS) Congruence Postulate 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 Theorem 4.5 â Hypotenuse-Leg (HL) Congruence Theorem If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent Postulate 21 â Angle-Side-Angle (ASA) Congruence Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent Theorem 4.6 â Angle-Angle-Side (AAS) Congruence Theorem If two angles and the non-included side are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent Theorem 4.7 â Base Angle Theorem If two sides of a triangle are congruent, then the angles opposite them are congruent Theorem 4.8 â Converse to the Base Angle Theorem If two angles of a triangle are congruent, then the sides opposite them are congruent Corollary to the Base Angle Theorem If a triangle is equilateral, then it is equiangular 3

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