Question

Identify what type of quadrilateral Quad WXYZ is. W(0, 1), X(4, 2), Y(3, -2), Z(-1, -3). Show your work.

Answer 1

Quadrilaterals are shapes with four sides

The quadrilateral is a parallelogram

How to determine the shape

The coordinates of the shape is given as:

W(0, 1), X(4, 2), Y(3, -2), Z(-1, -3)

Start by calculating the slopes of WY and XZ (i.e. the diagonals) using the following slope formula

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m_{WY} = \frac{-2-1}{3-0}$

$m_{WY} = -1$

$m_{WY} = \frac{-3+2}{-1-3}$

$m_{WY} = \frac{1}{4}$

The slopes are not opposite reciprocals, and they are not equal

From the attached graph and the slopes calculated above, we can conclude that the quadrilateral is a parallelogram

Read more about quadrilaterals at:

https://brainly.com/question/22254043