Use the image to answer the question.Solid lines form a triangle by joining three plotted points located in quadrant 2 on a coordinate plane. The points are labeled upper A (-8,2), upper B (-8,8) and upper C (-5,2).Use rotation mapping to locate C′ after a −90-degree (clockwise) rotation about the origin.(1 point)C′(,)

Answer 1

To perform a −90-degree (clockwise) rotation about the origin, you can use the following transformation rule for a point (x, y):

1. The new x-coordinate becomes y (from the original).
2. The new y-coordinate becomes -x (from the original).

For point C, which is located at (-5, 2):

• The original x-coordinate is -5 and the original y-coordinate is 2.
• After applying the transformation:
  • The new x-coordinate will be the original y-coordinate: 2.
  • The new y-coordinate will be the negative of the original x-coordinate: -(-5) = 5.

Thus, the coordinates of point C′ after a −90-degree rotation about the origin will be:

C′(2, 5).