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? _____________________________________
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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