The parallelogram in Quadrant III is the image of the parallelogram in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?
A. 90°
B. 180°
C. 270°
D. 360°
3 answers
B. 180°
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I apologize for the confusion. Let's reevaluate the problem.
If the parallelogram in Quadrant III is the image of the parallelogram in Quadrant II after a counterclockwise rotation about the origin, we need to determine the angle of rotation.
In Quadrant II, the angles are between 90° and 180°. To get to Quadrant III, we rotate counterclockwise. This means we need to rotate 90° from Quadrant II to reach the x-axis, and then an additional 90° to reach Quadrant III. Hence, the total angle of rotation is 90° + 90° = 180°.
Therefore, the correct answer is B. 180°.
If the parallelogram in Quadrant III is the image of the parallelogram in Quadrant II after a counterclockwise rotation about the origin, we need to determine the angle of rotation.
In Quadrant II, the angles are between 90° and 180°. To get to Quadrant III, we rotate counterclockwise. This means we need to rotate 90° from Quadrant II to reach the x-axis, and then an additional 90° to reach Quadrant III. Hence, the total angle of rotation is 90° + 90° = 180°.
Therefore, the correct answer is B. 180°.