# Properties of Rotations

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First found May 22, 2018

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```Name _______________________________________ Date __________________ Class __________________
LESSON
9-3
Properties of Rotations
Practice and Problem Solving: A/B
Use the figures at the right for Exercises 1–5. Triangle
A has been rotated about the origin.
1. Which triangle shows a 90
counterclockwise rotation?
____
2. Which triangle shows a 180
counterclockwise rotation?
____
3. Which triangle shows a 270
clockwise rotation?
____
4. Which triangle shows a 270
counterclockwise rotation?
____
5. If the sides of triangle A have lengths of 30 cm,
40 cm, and 50 cm, what are the lengths of the
sides of triangle D?
_____________________________________
Use the figures at the right for Exercises 6–10.
Figure A is to be rotated about the origin.
6. If you rotate figure A 90 counterclockwise,
what quadrant will the image be in?
____
7. If you rotate figure A 270 counterclockwise,
what quadrant will the image be in?
____
8. If you rotate figure A 180 clockwise,
what quadrant will the image be in?
____
9. If you rotate figure A 360 clockwise,
what quadrant will the image be in?
____
10. If the measures of two angles in figure
A are 60º and 120, what will the measure
of those two angles be in the rotated figure?
_____________________________________
Use the grid at the right for Exercises 11–12.
11. Draw a square to show a rotation of 90 clockwise
about the origin of the given square in quadrant I.
12. What other transformation would result in the same
image as you drew in Exercise 11?
_____________________________________
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201
Name _______________________________________ Date __________________ Class __________________
2.
11.
12. Accept: reflection over x-axis or
translation of 5 units down.
Practice and Problem Solving: C
1. Sample answer: Not a rotation because
triangle B is flipped from where it would
be after a rotation.
1. Triangle CDE
2. Triangle CDE
2. A rotation of 180
3. Sample answer: C and C
4. a reflection across the y-axis
3. A rotation of 90 counterclockwise OR
270 clockwise
5. a. quadrilateral PQRS
4. a regular hexagon
5. A large square is formed with its center
at the origin and each side is twice as
long as the side of square S.
b. reflection
6. The corresponding points are the same
distance from the line of reflection.
6.
Success for English Learners
1. Reflection across the y-axis
2. Connect the reflected vertices to form
triangle ABC.
LESSON 9-3
Practice and Problem Solving: A/B
1. B
7.
2. C
3. B
4. D
5. 30 cm, 40 cm, and 50 cm
6. III
7. I
8. IV
9. II
10. 60 and 120
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
369
```