Use the image to answer the question.

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)
Responses

90° clockwise rotation about the origin
90 degrees clockwise rotation about the origin

90° counterclockwise rotation about the origin
90 degrees counterclockwise rotation about the origin

270° counterclockwise rotation about the origin
270 degrees counterclockwise rotation about the origin

180° counterclockwise rotation about the origin
180 degrees counterclockwise rotation about the origin
Skip to navigation

Answer 1

To determine the transformation from triangle ABC to triangle A'B'C', we need to consider the coordinates of the triangles and their positions in different quadrants.

Triangle ABC is located in quadrant 3 (where both x and y coordinates are negative), while Triangle A'B'C' is positioned in quadrant 4 (where x coordinates are positive and y coordinates are negative).

A 90° clockwise rotation about the origin would move a point in quadrant 3 to quadrant 4, which matches the movement from triangle ABC to triangle A'B'C'.

Therefore, the correct transformation is:

90° clockwise rotation about the origin.