Question

Justify Conclusions A classmate concludes that the image of a figure rotated 270° clockwise will have the same coordinates as the image of

the same figure rotated 90° counterclockwise. Is your classmate correct? Write an argument that can be used to defend your solution.
-------A figure can rotate a total of------A clockwise rotation of 270" leaves
--------remaining in the rotation before returning to its original position. The original figure rotated 270"
-----in the opposite direction,could be rotated counterclockwise, and be in the same position as the figure

Answer 1

A figure rotated 270° clockwise will have the same position and coordinates as if it were rotated 90° counterclockwise, as both rotations are supplementary and sum up to a complete 360° rotation.

Step-by-step explanation:

The statement that a figure rotated 270° clockwise will have the same coordinates as the image of the same figure rotated 90° counterclockwise is indeed correct. This can be explained by considering the total rotation in a circle, which is 360°. A rotation of 270° clockwise is equivalent to a rotation of -270°. To bring the figure back to its original position using a counterclockwise rotation, you would add 360° to -270° to get +90°, which is a 90° counterclockwise rotation. Both rotations lead to the same position because they are supplementary angles (their sum is 360°), meaning they have the same effect on the coordinates of the figure.