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Question
Math
Posted 6 months ago

Quadrilateral ABCDA^{\prime} B^{\prime} C^{\prime} D^{\prime} is the image of quadrilateral ABCDA B C D under a rotation about point QQ.

Determine the angle of rotation.
Choose 1 answer:
(A) 150-150^{\circ}
(B) 105-105^{\circ}
(C) 105105^{\circ}
(D) 150150^{\circ}
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Answer from Sia
Posted 6 months ago
Solution by Steps
step 2
By examining the orientation of the two quadrilaterals, we can trace the path of one point to its new position after rotation
step 3
The angle of rotation is the measure of the angle formed at point QQ between the lines connecting QQ to a point on ABCDABCD and its corresponding point on ABCDA'B'C'D'
step 4
Using the given answer choices, we can eliminate the negative angles if the rotation is counterclockwise or the positive angles if the rotation is clockwise
step 5
The correct angle of rotation is the one that aligns all points of ABCDABCD with their corresponding points on ABCDA'B'C'D' when applied
C
Key Concept
Angle of Rotation
Explanation
The angle of rotation is the angle through which a figure is rotated about a fixed point to reach its new position.

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