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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? _____________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 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. Reading Strategies 1. Triangle CDE 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 ABC. 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