Polygon wxyz has vertices w(-1.5, 1.5),
x(6, 1.5), y6, -4.5), and z(-1.5, -4.5). is
wxyz a rectangle? justify your answer.

Step-by-step explanation:

Given the vertices of the polygon WXYZ, you can plot the coordinates on a graph tool to view if it is a rectangle. The attached plot shows a sketch of a rectangle.However, you can further prove.You know in a rectangle, the length on one side equals that on the other side, which is the same with the width.

So, in polygon WXYZ, you should show that length of side WX=ZY and the width WZ=XY  or show that width WZ=XY

W(-1.5,1.5)  and X(6,1.5) finding the length of this side;

d=√ (x₂-x₁)²+(y₂-y₁)²

d=√(6--1.5)² + (1.5-1.5)²

d=√ 7.5²

d=7.5

Side WX should be equal to side ZY, hence finding side ZY

Z(-1.5,-4.5)  and Y(6,-4.5)

d=√ (6--1.5)² + (-4.5--4.5)²

d=√ 7.5²

d=7.5

This justifies your answer that polygon WXYZ is a rectangle.

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