Use the image to answer the question.Two triangles are drawn on a coordinate plane. Triangle A B C is drawn with a solid line and is in quadrant 3. Triangle A prime B prime C prime is drawn with a dotted line and is in quadrant 4.Describe the transformation in the diagram.(1 point)Responses180° counterclockwise rotation about the origin180 degrees counterclockwise rotation about the origin270° counterclockwise rotation about the origin270 degrees counterclockwise rotation about the origin90° counterclockwise rotation about the origin90 degrees counterclockwise rotation about the origin90° clockwise rotation about the origin

Answer 1

To determine the transformation from triangle ABC to triangle A'B'C', we can analyze the positions of the triangles on the coordinate plane:

1. Triangle ABC is located in quadrant 3, where both x and y coordinates are negative.
2. Triangle A'B'C' is located in quadrant 4, where the x coordinates are positive and the y coordinates are negative.

The transformation from triangle ABC (in quadrant 3) to triangle A'B'C' (in quadrant 4) can be achieved by rotating the triangle 90° clockwise around the origin. A 90° clockwise rotation will move points from quadrant 3 to quadrant 4.

Therefore, the correct response is:

90° clockwise rotation about the origin.