uppose that in a trapezoid ABCD, 2.74, AB and CD are parallel.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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hat re-
and the
3. The
*
7. Suppose that in a trapezoid ABCD, as in Figure
12.74, AB and CD are parallel.
A
D
E
C
B
Figure 12.74
Trapezoid and the triangles
formed by its diagonals.
Let E be the point where the diagonals AC and
BD meet. Explain why triangles AED and BEC
must have the same area. (Do this without meas-
uring actual lengths or areas.)
Transcribed Image Text:hat re- and the 3. The * 7. Suppose that in a trapezoid ABCD, as in Figure 12.74, AB and CD are parallel. A D E C B Figure 12.74 Trapezoid and the triangles formed by its diagonals. Let E be the point where the diagonals AC and BD meet. Explain why triangles AED and BEC must have the same area. (Do this without meas- uring actual lengths or areas.)
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