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Consider a quadrilateral ABCD such that ∠BAD and ∠ADC are perpendicular, the rays AB and CD...

  1. Consider a quadrilateral ABCD such that ∠BAD and ∠ADC are perpendicular, the rays AB and CD are on the same side of the line AD, and AB ≅ CD. Quadrilaterals with these properties are called Khayyam quadrilaterals
    Prove the following claims on E2, H2, and S2.
    • ∠ABC ≅ ∠DCB.
    • the perpendicular bisector of AD is also the perpendicular bisector of BC.

Hint: Look for symmetries.

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