MathDB

2015.14

Part of Ukrainian From Tasks to Tasks - geometry

Problems(1)

concyclic, BM=BC,AN=AC, BP=BN, AQ=AM (2015 From Tasks to Tasks, p14 Ukr)

Source:

5/3/2021
On the side ABAB of the triangle ABCABC mark the points MM and NN, such that BM=BCBM = BC and AN=ACAN = AC. Then on the sides BCBC and ACAC mark the pointsP P and QQ, respectively, such that BP=BNBP = BN and AQ=AMAQ = AM. Prove that the points C,Q,M,NC, Q, M, N and PP lie on the same circle.
geometryConcyclicequal segments