Question

Please Help. Given trapezoid ABCD, Prove ΔBEC ~ ΔDEA

Answer 1

AAA (or AA)

Explanation:

Prove ΔBEC ~ ΔDEA

(using three angles is unnecessary because you can just use Angle Angle to prove similarity)

First, m∠BCE = m∠EAD because of alternate interior angles.

Then, m∠ADE = m∠CBE because of alternate interior angles.

m∠BEC = m∠AED because of vertical angles

Thus, ΔBEC ~ ΔDEA because of Angle Angle Angle [AAA] (or AA if you only chose to use 2 angles)