3. Quadrilateral PQRS has vertices P(-2, 3), Q(4, 5), R(2, –3), and S(-4, –5). Parallelogram. The consecutive sides are not congruent and the diagonals are not congruent. Determine the type(s) of quadrilateral(s) defined by these vertices and justify your reasoning. Rectangle. The consecutive sides are not congruent and the diagonals are congruent. Rhombus. The consecutive sides are congruent and the diagonals are not congruent. Trapezoid. The consecutive sides are not congruent and the diagonals are congruent

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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3. Quadrilateral PQRS has vertices P(-2, 3), Q(4, 5), R(2, –3), and S(-4, –5).
Parallelogram. The consecutive sides are not congruent and the
diagonals are not congruent.
Determine the type(s) of quadrilateral(s) defined by these vertices and justify your
reasoning.
Rectangle. The consecutive sides are not congruent and the
diagonals are congruent.
Rhombus. The consecutive sides are congruent and the diagonals
are not congruent.
Trapezoid. The consecutive sides are not congruent and the
diagonals are congruent.
Transcribed Image Text:3. Quadrilateral PQRS has vertices P(-2, 3), Q(4, 5), R(2, –3), and S(-4, –5). Parallelogram. The consecutive sides are not congruent and the diagonals are not congruent. Determine the type(s) of quadrilateral(s) defined by these vertices and justify your reasoning. Rectangle. The consecutive sides are not congruent and the diagonals are congruent. Rhombus. The consecutive sides are congruent and the diagonals are not congruent. Trapezoid. The consecutive sides are not congruent and the diagonals are congruent.
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