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.

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.

Name: E and F are points of the sides AD, BC of a quadrilateral ABCD such th
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Description: 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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