GEOMETRY A CHAPTER 11 ROTATIONS ASSIGNMENT 2 1.What type of transformations are isometries? Reflection, Translation, Rotation, any transformation that preserves distance. 2. If you reflect a figure over two parallel lines, the result is a translation.

3. A figure is translated with a magnitude of 25 cm. This is the same as a reflection over two parallel lines that are how far apart? If a figure is reflected over two parallel lines, the resulting transformation is a translation. The magnitude of the translation vector is twice the distance between the two lines. If |v| = 25 cm, then the distance between the two lines is 25  2 = 12.5 cm.

4. How many lines of symmetry does each figure have? One - Vertical None

4. How many lines of symmetry does each figure have? Five

5.If you rotate ΔABC 120° clockwise, then rotate ΔA’B’C’ 68° counter clockwise, describe the single rotation of ΔABC to result in ΔA’’B’’C’’. 120 – 68 = 52° clockwise 6.A’B’ is the image of AB rotated about point C. What is the angle of rotation?  AOA’ or  BOB’ In what direction? Counter Clockwise

B’ C’ D’ E’ B’(-2, 1) C’(-8, 1) D’(-8, 10) E’(-2, 10) B(1, 2) C(1, 8) D(10, 8) E(10, 2)

D’ E’ F’ G’ D(8, 1) E(9, 1) F(9, 10) G(8, 10) D’(-8, -1) E(-9, -1) F(-9, -10) G(-8, -10)

V’ U’ W’ U(-5, -2) V(-2, -2) W(-6, 8) U’(0, 5) V’(0, 2) W’(-8, -8)

F’ G’ H’ F(-9, -7) G(-5, -7) H(-5, 1) F’(-9, -1) G(-5, -1) H(-5, -9)

y = x + 1 A(1, -1) B(2, 1) C(-2, 3) A’(-2, 2) B’(0, 3) C’(2, -1) A’ B’ C’ 10. Graph ∆ABC with vertices A(1, -1), B(2, 1), and C(-2, 3). Graph the line of reflection y = x + 1. Reflect ∆ABC in y = x + 1. List the vertices of the image.