A geometry problem by Thành Đạt Lê

Geometry Level 3

(The angles with the same colors, ingoring the size, are equal.) EFCB \text{EFCB} is a trapezoid only if:

B A C ^ = 9 0 \widehat{BAC} = 90^\circ A D = A B + A C 2 AD = \frac{AB + AC}{2} B A D ^ = C A D ^ \widehat{BAD} = \widehat{CAD} D B = D C DB = DC

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