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4.3 ISOSCELES AND EQUILATERAL TRIANGLES VOCABULARY Two angles of an isosceles triangle are always congruent. These are the angles opposite the congruent sides BASE ANGLES THEOREM If two sides of a triangle are congruent , then the angles opposite them are congruent EXAMPLE 1 Use the Base Angles Theorem to find the measure of <L CONVERSE OF BASE ANGLES THEOREM If two angles of a triangle are congruent, then the sides opposite them are congruent. EXAMPLE 2 Use the converse of the base angles theorem to find the value of x YOU TRY IT… EQUILATERAL THEOREM If a triangle is equilateral, then it is equiangular. EQUIANGULAR THEOREM If a triangle is equiangular, then it is equilateral. EXAMPLE 3 YOU TRY IT…