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Lesson 6.3: Isosceles Triangles Isosceles Triangle two sides are congruent Base Angle Theorem If two sides of a triangle are congruent, then the angles opposite to them are congruent. Converse: If two angles of a triangle are congruent, then the sides opposite those angles are congruent. 1 Example Is triangle ABC isosceles? If yes, name the congruent sides and angles. A(2, 1) B(2, 4) Equilateral Triangles C(5, 4) have congruent sides and angles each angle is 60 If this triangle is an equilateral triangle, find the value of each variable. 2 If the triangle is an isosceles triangle, find the value of each variable. Then find the lengths of each side. Isosceles Triangle: 3 Homework WS 4