Which region has a larger area?

Geometry Level 1

A B C D ABCD is a trapezoid with A B ∣ ∣ C D AB||CD . Point E E is the intersection of diagonals A C AC and B D BD . Which region has a larger area? Yellow region or green region.

Green region. The areas are equal. Yellow region.

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1 solution

△ A D C ≅ △ A C B \triangle ADC \cong \triangle ACB because they have the same base and height. Since they have one intersection ( △ E D C \triangle EDC ), the yellow area is equal to the green area.

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