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quiz Tell whether the pair of triangles is congruent or not and why. 1. 2. You can not prove Triangle congruent with Side-SideAngle (SSA) and Angle-Angle-Angle (AAA) *Use Isosceles and Equilateral Triangles Section 4.7 Triangles Isosceles – a triangle with at least two congruent sides. Vertex angle leg leg Base angle Base angle Base Equilateral – a triangle with 3 congruent sides Equiangular - a triangle with 3 congruent angles Base Angles Theorem If two sides of a triangle are congruent, then the angles opposite them are congruent. if AB AC then B C Converse of Base Angles Theorem If two angles of a triangle are congruent, then the sides opposite them are congruent. if B C then AB AC Corollaries (a statement that can be proved easily using the theorem) Corollary to the Base Angles Theorem: If a triangle is equilateral, then it is equiangular. Corollary to the Converse of Base Angles Theorem: If a triangle is equiangular, then it is equilateral. Example1: Find x and y. Homework 4.7 pg. 267-268 #7-17, 23-25