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Part of 2017 Novosibirsk Oral Olympiad in Geometry

Problems(1)

AK+BM=CM in rectangle, CK=BC (2017 Novosibirsk Oral Geo Oly 8-9 p5)

Source:

4/26/2021
Point KK is marked on the diagonal ACAC in rectangle ABCDABCD so that CK=BCCK = BC. On the side BCBC, point MM is marked so that KM=CMKM = CM. Prove that AK+BM=CMAK + BM = CM.
geometryrectangleequal segments