Question

figure m is the result of a transformation on figure l. which transformation would accomplish this? answer a rotation 90° clockwise about the origin a reflection over the x -axis a reflection over the y -axis a rotation 90° counterclockwise about the origin

Explanation:

Step1: Recall rotation rules

The rule for a 90 - degree clockwise rotation about the origin is $(x,y)\to(y, - x)$.

Step2: Analyze the figures

By observing the positions of Figure L and Figure M, we can see that the orientation and position of the points of Figure L match the result of a 90 - degree clockwise rotation about the origin to get Figure M. For example, if we take a vertex of Figure L and apply the 90 - degree clockwise rotation rule, it will land on the corresponding vertex of Figure M.

Step3: Eliminate other options

A reflection over the x - axis changes the sign of the y - coordinate $(x,y)\to(x, - y)$; a reflection over the y - axis changes the sign of the x - coordinate $(x,y)\to(-x,y)$; a 90 - degree counter - clockwise rotation about the origin has the rule $(x,y)\to(-y,x)$. These do not match the transformation from Figure L to Figure M.

Answer:

A. A rotation 90° clockwise about the origin