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.

Question

Describe the transformation in the diagram.

(1 point)
Responses

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

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

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

180° counterclockwise rotation about the origin

Answer 1

To determine the transformation from triangle ABC in quadrant 3 to triangle A'B'C' in quadrant 4, we need to consider the starting and ending positions of each triangle.

Triangle ABC is in quadrant 3, where both x and y coordinates are negative. After the transformation, triangle A'B'C' is in quadrant 4, where the x coordinate is positive and the y coordinate is negative.

The change in location from quadrant 3 to quadrant 4 suggests a rotation. Specifically, a 90° counterclockwise rotation about the origin would move quadrant 3 (the lower left quadrant) to quadrant 2 (the upper left quadrant), and a 90° clockwise rotation would move quadrant 3 to quadrant 4 (the lower right quadrant).

Thus, the correct transformation that describes the change from triangle ABC in quadrant 3 to triangle A'B'C' in quadrant 4 is:

90° clockwise rotation about the origin.