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19 votes
19 votes
E im so confused-
( Please explain your answer! )

E im so confused- ( Please explain your answer! )-example-1
E im so confused- ( Please explain your answer! )-example-1
E im so confused- ( Please explain your answer! )-example-2
User Stephen Holt
by
2.7k points

1 Answer

11 votes
11 votes

Answer:

B. 180° about the origin

Explanation:

You are given a figure and its image, and asked to determine the angle of rotation. All of the answer choices indicate the center of rotation is the origin.

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You have two clues that the rotation is 180° about the origin:

  1. The original figure is in the 2nd quadrant, and the image is in the 4th quadrant, directly opposite the origin.
  2. Line ST is directed to the northeast; line S'T' is directed to the southwest, in exactly the opposite direction.

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To find the angle of rotation, you can look at the angle formed by a point, the center of rotation, and the image of the original point. Here, the angle UOU' is a straight angle, so the angle of rotation about O is 180°--the measure of that angle. (It can be convenient to use points close to the center of rotation, but any corresponding points on preimage and image will do.)

User Simonnordberg
by
3.0k points
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