Given the trapezoid ABCD, ad parallel BC, point E is the midpoint of CD, prove: trapezoid ABCD area = 2x triangle ABM area

Given the trapezoid ABCD, ad parallel BC, point E is the midpoint of CD, prove: trapezoid ABCD area = 2x triangle ABM area

Lengthening AE, lengthening line of BC at point E is easy to be proved as △ ade ≌ △ FCE ≌ AE = EF, s trapezoid ABCD = s △ AFB ∵ AE = EF ≌ s △ Abe = 1 / 2S △ Abf ≌ s △ Abe = 1 / 2S trapezoid ABCD