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22 votes
22 votes
Determine Angles of a rotation

A) 90º clockwise
B) 90º counterclockwise
C) 180º
D) 270º clockwise
E) 270º counterclockwise

Determine Angles of a rotation A) 90º clockwise B) 90º counterclockwise C) 180º D-example-1
User BennKingy
by
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1 Answer

24 votes
24 votes

Answer:

C) 180°

Explanation:

You want the angle of rotation between triangle ABC and triangle A'B'C' given that the center of rotation is point P.

Angle

The angle of rotation will be the measure of the angle APA'. We see that this angle is a straight angle with a measure of 180°.

The angle of rotation is 180°.

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Additional comment

Another clue regarding the answer is that 90° CW is equivalent to (and indistinguishable from) 270° CCW, and vice versa. This means each of the other answer choices is repeated, so one is as good as the other. The only possible single answer choice is 180°.

The angle of rotation can always be found this way. Form an angle between a preimage point, the center of rotation, and the corresponding image point. The measure of that angle is the angle of rotation.

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User Vikash Rathee
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2.7k points