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In Exercises 5-8, crap polygon with the given vertices and its image after a rotation of the given number of degrees about the origin. D Example ? 5. A(-3. 2). 8(2. 4). C(3. 1):90" 6. D(-3. -1). 8(-1. 2). F(4. -2): 180 7. J(1. 4). K(5. 5). L(7. 2). M(2, 2): 180" ((-6, -3). R(-5, 0). 5(-3. 0). 7(-1. -3):270ERROR ANALYSIS In Exercises 9 and 10, the endpoints of CD are C(-1, 1) and D(2, 3). Describe and correct the error in finding the coordinates of the endpoints of the image after a rotation of 270" about the origin. X C(-1. 1) - 6'(-1,-1) D(2, 3) - D' (2, -3) 10 X C(-1. 1) - 6'(1,-1) D(2. 3) - D' (3, 2) In Exercises 11-14 graph it wun endpoints X(-3, 1) and Y(4, -5) and its image after the composition. Example 3 11_ Translation: (r. y) - (ry + 2) Rotation: 90" about the origin Rotation: 180* about the origin Translation: (r. y) (x - 1. y + 1 )Rotation: 270 about the origin Reflection: in the y-axis 14. Reflection: in the line y = x Rotation: 90" about the origin In Exercises 15 and 16, graph ALMN with vertices L(1, 6), M(-2, 4), and /(3, 2) and its image after the composition. 15. Rotation: 90" about the origin Translation: (ry) = (x - 3.y + 2) 16. Reflection: in the x-axis Rotation: 270" about the origin In Exercises 17-20, determine whether the figure has rotational symmetry. If so, describe any rotations that map the figure onto itself. DExample 4 17. 18. 19. 20.COLLEGE PREP In Exercises 21-24, select all angles of rotation about the center of the regular polygon that map the polygon onto itself. (A) 30 (B) 45" D 72 (E) 90 (F) 120" G 141 (H) 180 23. 24