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In Figure 1.15, we are given that ABllCD and that AD and BC are not parallel. Show that angle D equals angle C if and only if AD=BC. HINT: Draw a line through B parallel to AD. NOTE: Recall that a quadrilateral is said to be a trapezoid if it has exactly one pair of parallel sides. If the nonparallel pair of sides are equal, the trapezoid is said to be isosceles.

In Figure 1.15, we are given that ABllCD and that AD and BC are not parallel. Show that angle D equals angle C if and only if AD=BC. HINT: Draw a line through B parallel to AD. NOTE: Recall that a quadrilateral is said to be a trapezoid if it has exactly one pair of parallel sides. If the nonparallel pair of sides are equal, the trapezoid is said to be isosceles.

Elementary Geometry For College Students, 7e
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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In Figure 1.15, we are given that ABllCD and that AD and BC are not parallel. Show that angle D equals angle C if and only if AD=BC. HINT: Draw a line through B parallel to AD. NOTE: Recall that a quadrilateral is said to be a trapezoid if it has exactly one pair of parallel sides. If the nonparallel pair of sides are equal, the trapezoid is said to be isosceles. 
A В D Figure 1.15
Transcribed Image Text:A В D Figure 1.15
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