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: W Length of YZ: O (b) Find the slope of WX and the slope of YZ. Slope of WX: O Slope of YZ: || (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.

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: W Length of YZ: O (b) Find the slope of WX and the slope of YZ. Slope of WX: O Slope of YZ: || (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.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 28E

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