Question

rotate point d 180° clockwise around the origin. you can think of a 180° angle as $\frac{1}{2}$ of a circle.

Explanation:

Step1: Recall rotation rule

For a 180 - degree clockwise rotation around the origin, if the original point is $(x,y)$, the new point is $(-x,-y)$. Assume point $D$ has coordinates $(x_D,y_D)$.

Step2: Apply the rule

The new point $D'$ has coordinates $(-x_D,-y_D)$. From the graph, if $D$ is at $(2,0)$, then $D'$ is at $(- 2,0)$.

Answer:

The coordinates of the rotated point $D'$ are obtained by changing the signs of the coordinates of $D$.