Given that a parallelogram is officially defined as a "quadrilateral with opposite sides that are equal," prove the property below. Property: In a parallelogram, a diagonal cuts the quadrilateral into two congruent triangles. (However, triangles formed by different diagonals are not necessarily congruent).

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
Section4.2: The Parallelogram And Kite
Problem 39E: For regular octagon ABCDEFGH, a are quadrilateral ABGH and quadrilateral BCFG congruent? b are...
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Given that a parallelogram is officially defined as a "quadrilateral with opposite sides that are equal,"
prove the property below.
Property: In a parallelogram, a diagonal cuts the quadrilateral into two congruent triangles.
(However, triangles formed by different diagonals are not necessarily congruent).
Transcribed Image Text:Given that a parallelogram is officially defined as a "quadrilateral with opposite sides that are equal," prove the property below. Property: In a parallelogram, a diagonal cuts the quadrilateral into two congruent triangles. (However, triangles formed by different diagonals are not necessarily congruent).
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