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QUESTION IMAGE

write a rigid motion that produces the image △abc→△def. select the corr…

Question

write a rigid motion that produces the image △abc→△def. select the correct choice below, and fill in the answer box(es) within your choice. if your answer involves an angle, use an angle measure between 0° and 360°. a. t( ) of y - axis b. (type an equation.) c. t( ) d. r(°, ( )) e. t( ) of x - axis

Explanation:

Step1: Analyze the transformation

By observing the graph, we can see that $\triangle ABC$ is rotated about the origin to get $\triangle DEF$.

Step2: Determine the rotation angle

Count the number of 90 - degree turns. We find that $\triangle ABC$ is rotated 90 degrees counter - clockwise about the origin to get $\triangle DEF$.

Answer:

D. $R_{(0,0),90^{\circ}}$ (assuming $R_{(0,0),90^{\circ}}$ represents a 90 - degree counter - clockwise rotation about the origin in the options)