11-5 Rotations on the Coordinate Plane Determine whether each synchronized swimming formation has rotational symmetry. If it does, describe the angle of rotation. ANSWER: Always; the original figure and the rotated image are congruent. Since the corresponding side lengths are equal, the perimeters are the same. 22. Triangle XYZ was rotated about the origin to ΔX´Y´Z´. Which of the following describes the rotation? 12. ANSWER: yes; A 90° clockwise about the origin B 90° counterclockwise about the origin C 180° clockwise about the origin D 270° clockwise about the origin ° ANSWER: C 26. If m∠B = 17° and ∠A and ∠B are complementary, find m∠A. 14. ANSWER: no 18. Reason Inductively Name a clockwise rotation that is equivalent to a rotation of 90° counterclockwise about the origin. ANSWER: 73° For Exercises 28–30, use the diagram shown. ANSWER: 270° clockwise rotation about the origin 20. Construct an Argument Will a geometric figure and its rotated image sometimes, always, or never have the same perimeter? Explain your reasoning. ANSWER: Always; the original figure and the rotated image are congruent. Since the corresponding side lengths are equal, the perimeters are the same. 22. Triangle XYZ was rotated about the origin to ΔX´Y´Z´. Which of the following describes the rotation? eSolutions Manual - Powered by Cognero 30. Suppose the measure of ∠4 = 95° and the measure of ∠5 = 135°. Find the measure of angles 1, 2, and 3. ANSWER: m∠1 = 85°, m∠2 = 50°, m∠3 = 45° Page 1

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