Question

ABCD is rotated counterclockwise about the origin. By how many degrees was ABCD rotated?

Answer 1

90°

Step-by-step explanation

To get the angle of rotation, take a point for instance A, and join it to the center. Join the image of A, A', to the origin, O, also.

Then measure the angle AOA' with O as your center. The rotation can be clockwise or anticlockwise which is also known as counter clockwise.

This can be done with all other points and the angle of rotation will be the same.

For the question above, when this is done and the angle is measured counterclockwise, it will be found to be 90°

∴ AOA' = 90°

BOB' = COC' = DOD' = 90°