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IR-MO-R2 2022 Problem 1

    Let EE and FF on ACAC and ABAB respectively in △ABC\triangle ABC such that DE∣∣BCDE || BC then draw line ll through AA such that l∣∣BCl || BC let D′D' and E′E' reflection of DD and EE to ll respectively prove that D′B,E′CD'B, E'C and ll are congruence.

    Dataset text AI-MO AoPS. Quoted with source.

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