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5. consider the statement and graph shown. the figure abcde is the imag…

Question

  1. consider the statement and graph shown. the figure abcde is the image of the figure abcde under a rotation of which of the phrases would best complete the following statement? 270° clockwise rotation about the origin

Explanation:

Step1: Recall rotation rules

For a 270 - degree clock - wise rotation about the origin, the transformation rule for a point $(x,y)$ is $(y, - x)$.

Step2: Check corresponding points

By observing the original figure ABCDE and its image A'B'C'D'E', we can take a few key points and check if they follow the 270 - degree clock - wise rotation rule about the origin. For example, if we take a vertex of the original figure and its corresponding vertex in the image, we can see that the coordinates change according to the $(y, - x)$ rule.

Answer:

270° clockwise rotation about the origin