Note that WXYZ has vertices W (2, 5), X(6, -4), Y(-1, -7), and Z(-5, 2). Complete the following to determine if WXYZ is a parallelogram. (a) Find the length of WX and the length of YZ. Give exact answers (not decimal approximations). Length of WX: Length of YZ: U (b) Find the slope of WX and the slope of YZ. Slope of WX: I Slope of YZ: 0 (e) From parts (a) and (b), what can we conclude? The quadrilateral is a parallelogram because it has one pair of opposite sides that are congruent, even though those sides are not parallel. The quadrilateral is a parallelogram because it has one pair of opposite sides that are both congruent and parallel. The quadnilateral is a parallelogram because it has one pair of opposite sides that are parallel, even though those sides are not congruent. O The quadrilateral is not a parallelogram. Olt cannot be determined if the quadrilateral is a parallelogram.

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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Consider quadnlateral WXYZ below.
Note that WXYZ has vertices W (2, 5), X(6, -4), Y(-1, -7), and Z(-5, 2).
Complete the following to determine if WXYZ is a parallelogram.
(a) Find the length of WX and the length of YZ.
Give exact answers (not decimal approximations).
Length of WX: O
Length of YZ: O
(b) Find the slope of WX and the slope of YZ.
Slope of WX: I
Slope of YZ: I
(c) From parts (a) and (b), what can we conclude?
The quadrilateral is a parallelogram because it has one pair of opposite sides that
are congruent, even though those sides are not parallel.
The quadrilateral is a parallelogram because it has one pair of opposite sides that
are both congruent and parallel.
The quadrilateral is a parallelogram because it has one pair of opposite sides that:
are parallel, even though those sides are not congruent.
O The quadrilateral is not a parallelogram.
O It cannot be determined if the quadrilateral is a parallelogram.
Transcribed Image Text:Consider quadnlateral WXYZ below. Note that WXYZ has vertices W (2, 5), X(6, -4), Y(-1, -7), and Z(-5, 2). Complete the following to determine if WXYZ is a parallelogram. (a) Find the length of WX and the length of YZ. Give exact answers (not decimal approximations). Length of WX: O Length of YZ: O (b) Find the slope of WX and the slope of YZ. Slope of WX: I Slope of YZ: I (c) From parts (a) and (b), what can we conclude? The quadrilateral is a parallelogram because it has one pair of opposite sides that are congruent, even though those sides are not parallel. The quadrilateral is a parallelogram because it has one pair of opposite sides that are both congruent and parallel. The quadrilateral is a parallelogram because it has one pair of opposite sides that: are parallel, even though those sides are not congruent. O The quadrilateral is not a parallelogram. O It cannot be determined if the quadrilateral is a parallelogram.
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