Answer:
The Direction of the rotation is counterclockwise around the origin.
Explanation:
What was Given was that Point G is rotated 90°. The coordinate of the pre-image point G was (7, –5), and its image G’ is at the coordinate (5, 7).
What you need to find was : What is the direction of the rotation.
So coming to conclusions is we have given that Point G is rotated 90°.
The Pre-image of G = ( 7, -5).
Translated image G' = ( 5 ,7).
By the Rotation rule of 90° is : (-y, x) 90 degree rotation counterclockwise around the origin.
(y, -x) 90 degree rotation clockwise about the origin.
We can from G (7,-5) and G'( 5 ,7) it is rotation counterclockwise around the origin.
Therefore, Direction of rotation is counterclockwise around the origin.