Name: _______________________________________
1. Reflect the figure with vertices A(1, 4), B(4, 1), C(1, 1) over the y-axis. Label the image A'B'C'.
2. Reflect the figure with vertices D(-5, -2), E(-2, -2), F(-4, -5) over the line y = x. Label the image D'E'F'.
3. Rotate the figure with vertices P(2, 2), Q(5, 2), R(5, 4) 90° counterclockwise about the origin. Label the image P'Q'R'.
4. Rotate the figure with vertices S(-4, 1), T(-1, 1), U(-1, 5) 180° about the origin. Label the image S'T'U'.
5. Translate the figure with vertices A(-4, 4), B(-1, 2), C(-3, 1) using the rule (x, y) → (x + 5, y - 3). Label the image A'B'C'.
6. Describe the translation that maps P(2, -3) to P'( -1, 1) using coordinate notation.
(x, y) → (__________, __________)
7. Dilate the figure with vertices D(1, 2), E(3, 2), F(3, 1) by a scale factor of k = 3 from the origin. Label the image D'E'F'.
8. The vertices of a triangle are G(4, -2), H(8, -2), J(8, -6). Find the vertices of the image after a dilation with a scale factor of k = 1/2.
9. Triangle PQR has vertices P(1, 1), Q(3, 4), R(5, 1). Perform the following sequence:
1st: Reflect over the x-axis.
2nd: Translate (x, y) → (x - 4, y + 2).
10. Point Z(-2, 3) is rotated 180° and then reflected over the line y = x. What are the coordinates of Z''?
11. Rectangle ABCD has vertices A(2, 4), B(5, 4), C(5, 2), D(2, 2). Perform the following sequence:
1st: Dilate with a scale factor of 1/2.
2nd: Rotate 90° counterclockwise.
12. Describe a sequence of transformations that maps Figure 1 to Figure 2.
Answer: __________________________________________________
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