Wk 13: Notes 3.2 Rotations, Dilations and Sequence of Transformations

Match the rules for rotating points about the ORIGIN.

1. What point do we use to find our final answers? *Choose one

3. Trapezoid QRST with vertices Q(3, 1), R(5, 2), S(10, 0), and T(4, -3); 90° clockwise about M(3, -4).

True or False: 12/3 is a reduction.

5. Rectangle ABCD with vertices A(-3, 0), B(1, 2), C(2, 0), and D(-2, -2): k = 3.

Select all that apply.

7. Triangle WXY with vertices W(-4, 8), X(10, 0), and Y(-2, -8): k = ¼.

10. Z’(3, 8) is the image of Z after a dilation centered at the origin with a scale factor of 3/2. What are the coordinates of Z?

11. H’(1.5, -4) is the image of H after a dilation centered at the origin with a scale factor of ½ . What are the coordinates of H?

13. Identify the scale factor given the graph of each image and its preimage.

Use your notes to match the following.

15. Parallelogram JKLM with vertices J(-1, 8), K(5, 6), L(7, -2), and M(1, 0); scale factor: k = ½, center of dilation: (-3, -2)

17. Identify the center of dilation and scale factor of each dilation.

17. Identify the center of dilation and scale factor of each dilation.

20. Graph each image. Then choose the coordinates for the final image.

Triangle GHI with vertices G(-1, 6), H(-1, 3), and I(-6, 6):

a) translation along the vector <7, -5>

b) reflection in the line y = -3

22. Graph each image. Then choose the coordinates for the final image.

Rectangle WXYZ with vertices W(-7, 2), X(5, 2), Y(5, -6), and Z(-7, -6):

a) dilation with scale factor of 1/4 using (-7, 6) as the center

b) reflection in the y-axis

23. Graph each image. Then choose the coordinates for the final image.

Parallelogram BCDE with vertices B(2, -3), C(6, -4), D(7, -6), and E(3, -5):

a) 270° counterclockwise rotation about the point (1, -2)

b) translation along the vector <0, 8>