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.
