The parallelogram with vertices U(2,−2), V(9,−2), W(9,−6), and X(2,−6) is a rectangle, and square the choices are rectangle and square.
What is a distance formula?
It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have given the vertices of the parallelogram:
U(2,−2), V(9,−2), W(9,−6), and X(2,−6)
The distance between U and W from the distance formula:
[tex]\rm UW = \sqrt{(9-2)^2+(-6+2)^2}[/tex]
UW = √65
The distance between V and X from the distance formula:
[tex]\rm VX = \sqrt{(2-9)^2+(-6+2)^2}[/tex]
VX = √65
UW = VX (diagonals are equal in length)
As we know, in a rectangle and square the diagonals are equal in measure.
Thus, the parallelogram with vertices U(2,−2), V(9,−2), W(9,−6), and X(2,−6) is a rectangle, and square the choices are rectangle and square.
Learn more about the distance formula here:
brainly.com/question/18296211
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