Question

figure defg is graphed on the coordinate axes. this figure is rotated 180° clockwise about the origin to give figure defg. which graph accurately shows the position of defg? o a.

Explanation:

Step1: Recall rotation rule

When a point $(x,y)$ is rotated 180 - degrees clockwise about the origin, the new - point is $(-x,-y)$. Apply this rule to each vertex of the figure DEFG.

Step2: Analyze option by option

Check the coordinates of the vertices of the rotated figure in each option against the rule $(x,y)\to(-x,-y)$.

Answer:

(No options are fully provided in the text. But the general way to find the answer is to apply the $(x,y)\to(-x,-y)$ rule to each vertex of the original figure DEFG and then match with the given options.)