In any quadrilateral the two lines joining the mid-points of each pair of opposite sides meet at one point, with the line joining the mid-points of its diagonals. CONSTRUCTION : Let ABCD be the quadrilateral and E, F, G, H, K, and L the mid-points of its sides and diagonals. Join EF, FG, GH, HE, EK, KG, GL, LE, FK, KH, HL, and LF (Fig. A B H D

In any quadrilateral the two lines joining the mid-points of each pair of opposite sides meet at one point, with the line joining the mid-points of its diagonals. CONSTRUCTION : Let ABCD be the quadrilateral and E, F, G, H, K, and L the mid-points of its sides and diagonals. Join EF, FG, GH, HE, EK, KG, GL, LE, FK, KH, HL, and LF (Fig. A B H D

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

Section4.3: The Rectangle, Square, And Rhombus

Problem 7E: A line segment joins the midpoints of two opposite sides of a rectangle as shown. What can you...

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