As shown in the figure, in ladder ABCD, AD / / BC, ad = 2, BC = 4, point m is the midpoint of AD, and triangle MBC is an equilateral triangle 1. Prove that the trapezoid ABCD is isosceles trapezoid

Because point m is the midpoint of AD
So MD = ma
Because AD / / BC, triangle MBC is equilateral triangle
Therefore, MBC = AMB = 60 MCB = CMD = 60
Therefore, AMB = CMD BM = cm
So △ AMB ≌ △ CMD
So AB = CD
So trapezoid ABCD is isosceles trapezoid

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