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### 11 Cards in this Set

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 Third Angle Theorem (theorem 4-1) If two angles are congruent to two angles of another triangle, then the third angles are congruent. Side-Side-Side (SSS) Postulate (Postulate 4-1) If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. Side-Angle-Side (SAS) Postulate (Postulate 4-2) If two sides and the included angle of one triangle are congruent to two sides and the congruent angle of another triangle, then the two triangles are congruent Angle-Side-Angle (ASA) Postulate (postulate 4-3) 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. Angle-Angle-Side (AAS) theorem (theorem 4-2) If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of one triangle, then the triangles are congruent Isosceles triangle theorem (theorem 4-3) If two sides of a triangle are congruent, then the angles opposite those sides are congruent. Converse of the Isosceles triangle theorem (theorem 4-4) If two angles of a triangle are congruent, then the sides opposite those angles are congruent Theorem 4-5 If a line bisects the vertex angle of an isosceles triangle, then the line is also the what of the base? perpendicular bisector If a line bisects the vertex angle of an isosceles triangle, then the line is also the perpendicular bisector of the base. Corollary to the Isosceles triangle Theorem (theorem 4-3) If a triangle is equilateral, then the triangle is equiangular Corollary to the converse of the isosceles triangle theorem (theorem 4-4) If a triangle is equiangular, then the triangle is equilateral Hypotenuse-Leg (HL) Theorem (Theorem 4-6) If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent