Question
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)
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
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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
Answers
GPT-4o mini
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.**
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.**