The vertices of quadrilateral LMNP are L(-1, 7), M(4, 9), N(8, -1), and P(3, -3). Usingthe distance formula, determine the most precise classification of LMNP:parallelogram, rectangle, rhombus, or square. Use graph paper.O parallelogramO rectangleO rhombussquare

Name: The vertices of quadrilateral LMNP are L(-1, 7), M(4, 9), N(8, -1), a
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Description: The vertices of quadrilateral LMNP are L(-1, 7), M(4, 9), N(8, -1), and P(3, -3). Usingthe distance formula, determine the most precise classification of LMNP:parallelogram, rectangle, rhombus, or square. Use graph paper.O parallelogramO rectangleO

Answered: The vertices of quadrilateral LMNP are…

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), and P(3, -3). Using
the distance formula, determine the most precise classification of LMNP:
parallelogram, rectangle, rhombus, or square. Use graph paper.
O parallelogram
O rectangle
O rhombus
square

Expert Solution

Step 1

Given the vertices of quadrilateral LMNP are $L (- 1, 7), M (4, 9), N (8, - 1) a n d P (3, - 3)$ .

It is required to determine the most precise classification of LMNP using the distance formula.

Sketch the vertices of quadrilateral LMNP as shown below.

It i known that the distance between two points is given by the formula $d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

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