The vertices of quadrilateral LMNP are L(-1,7) M(4,9) N(8,-1) P(3,-3) using the distance formula, determine the most precise classification of the figure. Is it a parallelogram? Rectangle? Rhombus? Square? Kite? How do you know? Justify your thinking.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 30E
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The vertices of quadrilateral LMNP are L(-1,7) M(4,9) N(8,-1) P(3,-3) using the distance formula, determine the most precise classification of the figure. Is it a parallelogram? Rectangle? Rhombus? Square? Kite? How do you know? Justify your thinking.

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