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4.6 Isosceles, Equilateral, and Right Triangles Essential Question: What are the parts of an isosceles and right triangle? Base Angle Theorem If two sides of a triangle are congruent, then the angles opposite them are congruent. Converse of the Base Angle Theorem If two angles of a triangle are congruent, then the sides opposite them are congruent. Equilateral Triangles If a triangle is equilateral then it is equiangular. If a triangle is equiangular, then it is equilateral. Hypotenuse-Leg (HL) If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent.