Question

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An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles. Prove the diagonals of an isosceles trapezoid are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.

Answer 1

two congruent legs of the given isosceles trapezoid are AC and BD.
pair of parallel bases are AB and CD.
congruent lower base angles are <C and <D.
Congruent upper base angles are <A and <B.
Also
<A+<C=180(allied angles)
<B+<D =180(allied angles)