12. ABCD is a parallelogram. CE is drawn parallel to DB meeting AB produced at E. Prove tha
BE = DC (or equivalently, B is the mid-point of AE).
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Answer:
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Step-by-step explanation:
Given that BE II AC
ABEC is a parallelogram, of which opposite sides are parallel.
Δ ABC and Δ ACE lie on the same base AC and between the same parallel AC and BE.
Area(Δ ABC) = Area(Δ ACE)
By adding area(Δ ADC) to both sides
Area(Δ ABC) + Area(Δ ADC) = Area(Δ ACE) + Area(Δ ADC)
Area (Parallelogram ABCD) = Area(Δ ADE)
Hence, proved.
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Step-by-step explanation:
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