5. E and F are points of the sides AD, BC of a quadrilateral ABCD such that AE- kED and BF = kFC. If P, Q, R are the midpoints of AB, EF, DC respectively, show that P, Q and R are collinear and that PQ = kQR.
5. E and F are points of the sides AD, BC of a quadrilateral ABCD such that AE- kED and BF = kFC. If P, Q, R are the midpoints of AB, EF, DC respectively, show that P, Q and R are collinear and that PQ = kQR.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.4: The Trapezoid
Problem 18E: Given: Isosceles ABE with AEBE; also, D and C are midpoints of AE and BE, respectively. Prove: ABCD...
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