Copy each figure and the angle of rotation. Draw the rotation of the figure about
point P by m∠A.
16.
17.
*
*
Rotate the figure with the given vertices about the origin using the given angle of
rotation.
18. E(-1, 2), F(3, 1), G(2, 3); 90°
19. A(-1, 0), B(-1, -3), C(1, -3), D(1, 0); 90°
20. P(0, -2), Q(2, 0), R(3, -3); 180°
21. L(2, 0), M(-1, -2), N(2, -2); 180°
22. Architecture The CN Tower in Toronto, Canada, features a revolving restaurant
that takes 72 minutes to complete a full rotation. A table that is 50 feet from the
center of the restaurant starts at position (50, 0). What are the coordinates of the
table after 6 minutes? Round coordinates to the nearest tenth.
Copy each figure. Then draw the rotation of the figure about the red point using the
given angle measure.
23. 90°
24. 180°
25. 180°
26. Point Q has coordinates (2, 3). After a rotation about the origin,
the image of point Q lies on the y-axis.
a. Find the angle of rotation to the nearest degree.
b. Find the coordinates of the image of point Q.
Round to the nearest tenth.
Rectangle RSTU is the image of rectangle LMNP under a
180° rotation about point A. Name each of the following.
27. the image of point N
28. the preimage of point S
−−−
29. the image of MN
−−
30. the preimage of TU
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31. This problem will prepare you for the Multi-Step Test
Prep on page 854.
A miniature golf course includes a hole with a windmill.
Players must hit the ball through the opening at the
base of the windmill while the blades rotate.
a. The blades take 20 seconds to make a complete
rotation. Through what angle do the blades rotate
in 4 seconds?
b. Find the coordinates of point A after 4 seconds.
(Hint: (4, 3) is the center of rotation.)
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12-3 Rotations
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