Question

An isosceles trapezoid is a quadrilateral with two congruent legs and a pair of parallel bases. Prove the base angles of an isosceles trapezoid are congruent. Be sure to create and name the appropriate geometric figures.

Answer 1

BE is congruent to overline CF since they are altitudes of the same trapezoid(S). AB is congruent to overline CD (Given) AE is congruent to overline FD by the Hypotenuse Leg Theorem. triangle ABC is congruent to triangle DCF (SSS Triangle Congruence) angle A is congruent to angle D since corresponding parts of congruent triangles are congruent.