The triangle △ABC is given. Let c1 be circle passing through vertex A and intersecting sides AB and AC in points D and E, respectively. Let C2 be circle passing through vertex B and point D, intersecting side BC and the circle c1 in points F and T, respectively. Prove the quadrilateral CETF is cyclic.Explain in detail.

The triangle △ABC is given. Let c1 be circle passing through vertex A and intersecting sides AB and AC in points D and E, respectively. Let C2 be circle passing through vertex B and point D, intersecting side BC and the circle c1 in points F and T, respectively. Prove the quadrilateral CETF is cyclic.Explain in detail.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.1: Circles And Related Segments And Angles

Problem 21E: Suppose that a circle is divided by points A,B,C, and D into four congruent arcs. What is the...

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