Question

quadrilateral wxyz is graphed on the coordinate plane. what will be the coordinates of wxyz after wxyz is rotated 180 degrees clockwise about the origin? enter your answers.

Explanation:

Step1: Recall rotation rule

The rule for a 180 - degree clockwise rotation about the origin is $(x,y)\to(-x,-y)$.

Step2: Assume coordinates of vertices

Suppose the coordinates of $W$ are $(x_1,y_1)$, of $X$ are $(x_2,y_2)$, of $Y$ are $(x_3,y_3)$ and of $Z$ are $(x_4,y_4)$.

Step3: Apply rotation rule

The coordinates of $W'$ will be $(-x_1,-y_1)$, of $X'$ will be $(-x_2,-y_2)$, of $Y'$ will be $(-x_3,-y_3)$ and of $Z'$ will be $(-x_4,-y_4)$.

Answer:

Since the original coordinates of the vertices of the quadrilateral are not given in the text, the general answer for the coordinates of the vertices of the rotated quadrilateral are:
$W'$: If $W=(x_W,y_W)$ then $W'=(-x_W,-y_W)$
$X'$: If $X=(x_X,y_X)$ then $X'=(-x_X,-y_X)$
$Y'$: If $Y=(x_Y,y_Y)$ then $Y'=(-x_Y,-y_Y)$
$Z'$: If $Z=(x_Z,y_Z)$ then $Z'=(-x_Z,-y_Z)$