Question

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

When a point $(x,y)$ is rotated 180 - degrees clockwise about the origin, the new coordinates are $(-x,-y)$.

Step2: Identify original coordinates

Let's assume the coordinates of $W=(x_1,y_1)$, $X=(x_2,y_2)$, $Y=(x_3,y_3)$, $Z=(x_4,y_4)$ from the graph.

Step3: Calculate new coordinates

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 $(-x_4,-y_4)$. Without the actual values of the original - coordinates from the graph, we can't give numerical answers. But the general rule for a 180 - degree clockwise rotation about the origin for a point $(x,y)$ is to change it to $(-x,-y)$.

Answer:

The coordinates of $W'$, $X'$, $Y'$, $Z'$ are obtained by changing the signs of the $x$ and $y$ coordinates of $W$, $X$, $Y$, $Z$ respectively. That is, if $W=(x_W,y_W)$, then $W'=(-x_W,-y_W)$; if $X=(x_X,y_X)$, then $X'=(-x_X,-y_X)$; if $Y=(x_Y,y_Y)$, then $Y'=(-x_Y,-y_Y)$; if $Z=(x_Z,y_Z)$, then $Z'=(-x_Z,-y_Z)$.