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Source: OMEC Ecuador National Olympiad Final Round 2023 N3 P2 day 1

November 5, 2024
geometrynational olympiadgeometric transformationreflection

Problem Statement

Let ABCDABCD a cyclic convex quadrilateral. There is a line ll parallel to DCDC containing AA. Let PP a point on ll closer to AA than to BB. Let B′B' the reflection of BB over the midpoint of ADAD. Prove that ∠B′AP=∠BAC\angle B'AP = \angle BAC
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