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Section__________________________ Date__________ USE ISOSCELES and EQUILATERAL TRIANGLES Vocabulary LEGS VERTEX ANGLE Definition The legs of an isosceles triangle are the two congruent sides. The vertex angle of an isosceles triangle is the angle formed by the legs. BASE The base of an isosceles triangle is the side that is not the leg. BASE ANGLES The base angles of an isosceles triangle are the two angles adjacent to the base. Example BASE ANGLES THEOREM If two sides of a triangle are congruent, then the angles opposite them are congruent. CONVERSE of BASE ANGLES 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. COROLLARY to the CONVERSE If a triangle is equiangular, then it is of BASE equilateral. ANGLES THEOREM