   Chapter 4.2, Problem 1E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Note: Exercises preceded by an asterisk are of a more challenging nature.a) As shown, must quadrilateral ABCD be a parallelogram? b ) Given the lengths of the sides as shown, is the measure of ∠ A unique? To determine

a)

To check:

Whether the given quadrilateral is a parallelogram.

Explanation

Given,

AB=7 units

BC=3 units

CD=7 units

DA=3 units and

ABCD is a quadrilateral.

Draw the diagonal AC¯ as exactly one line passes through two points.

Now, we have two triangles ABC and CDA, such that

AC<

To determine

b)

Whether the measure of A is unique for the given lengths of the sides.

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