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2540082550lesson12-300lesson12-3Properties of RotationsPractice and Problem Solving: A/BUse the figures at the right for Exercises 1–5. Triangle A has been rotated about the origin. 3917315182880001.Which triangle shows a 90counterclockwise rotation?____ 2.Which triangle shows a 180counterclockwise rotation?____ 3.Which triangle shows a 270clockwise rotation?____ 4.Which triangle shows a 270counterclockwise rotation?____ 5.If the sides of triangle A have lengths of 30 cm,40 cm, and 50 cm, what are the lengths of thesides of triangle D?_____________________________________Use the figures at the right for Exercises 6–10.Figure A is to be rotated about the origin. 358902027305006.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 60? and 120, what will the measureof those two angles be in the rotated figure?_____________________________________390144015875000Use 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?_____________________________________2540082550lesson12-300lesson12-3Properties of RotationsPractice and Problem Solving: C342900063563500Tell whether each triangle shows a rotation of triangleA about the origin. If a rotation is shown, give the number of degrees and the direction of the rotation. If a rotation is not shown, explain why it is not a rotation.1.Triangle B____________________________________________________________________________________2.Triangle C____________________________________________________________________________________3.Triangle D____________________________________________________________________________________Solve.4913630118110004.You rotate an equilateral triangle clockwise 60 as shown at the right. If you continue to make 60 rotations, what larger figure will be formed? _____________________________________________________________________ 5.You draw square S with one vertex at the origin and one side along the x-axis. You rotate square S clockwise about the origin. You rotate square S through 90, 180, and 270. Describe the large figure that is formed by the four squares. Include the size of the sides in relation to square S._________________________________________________________________________________________ Draw the image of the figure after the given rotation about the origin.6.1807.90 counterclockwise ................
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