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In the figure, / is mapped onto / by a 180° rotation. Angle B corresponds to which angle in /? A. X )B. Y) C. Z) D. C)

In the figure, / is mapped onto / by a 180° rotation. Angle B corresponds to which-example-1
User Peterson
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2 Answers

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Which of the following best represents a rotation

B.
User Dodrg
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Answer:

The correct option is B.

Explanation:

From the given diagram it is clear that the measure of angle B is 90 degrees because it is a right angled triangle.

The coordinates of vertex B are (-5,2).

If a point P(x,y) is rotate 180 degree about the origin, then


(x,y)\rightarrow (-x,-y)

The coordinates of image of B are


B(-5,2)\rightarrow B'(-(-5),-(2))=B'(5,-2)

The coordinates of image of B are (5,-2). These are the coordinates of vertex Y and the measure of angle Y is 90 degree.

The angle Y corresponds to angle B. Therefore the correct option is B.

User Tarheel
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