Name_______________________________________ Period ____
CH 7 and 8 Review 8th Grade Math
Sketch the transformation of each given figure in the coordinate plane
1. Translate -6 units vertically
2. Translate 3 units horizontally and 3. Translate 9 units horizontally and
-8 units vertically
-4 units vertically
4. Rotate ∆𝑀𝑁𝑃 90°
3. Rotate ∆𝑋𝑌𝑍 180°
6. Rotate ∆𝐴𝐵𝐶 90°
clockwise about the origin.
counterclockwise about the origin.
counterclockwise about the origin.
7. Reflect the square over x-axis
8. Reflect the pentagon over y-axis
9. Reflect the triangle over x = 2
Determine the coordinates of the image following each given transformation.
10. Triangle PQR with coordinates P(3, -4), Q(6, -1), and R(6, -6) is translated -3 units horizontally and 6 units
vertically.
11. Triangle STU with coordinates S(0, 0), T(4, 4), and U(5, 0) is translated 10 units horizontally and -2 units
vertically.
12. Rectangle WXYZ with coordinates W(-8, -1), X(-2, -1), Y(-2, -3), and Z(-8, -3) is translated 13 units
horizontally.
Determine the coordinates of the image following each given transformation.
13. Triangle DEF with coordinates D(-2, 2), E(1, 5), and F(4, -1) is rotated 90° counterclockwise about the origin.
14. Triangle NPQ with coordinates N(12, -3), P(1, 2) and Q(9, 0) is rotated 180° counterclockwise about the origin.
15. Triangle ABC with coordinates A(-2, 2), B(1, 5), and C(4, -1) is rotated 90° clockwise about the origin.
16. A triangle with vertices A(1, 3), B(4, 8), and C(5, 2) is reflected over the x-axis.
17. A triangle with vertices A(1, 3), B(4, 8), and C(5, 2) is reflected over the y-axis.
18. A triangle with vertices D(-2, 5), E(-1, 1), and F(3, 6) is reflected over the x-axis
Determine the transformation used to form each image.
19. The vertices of the triangle ABC are A(2, 4), B(5, 7), and C(3, 1). Describe the translation used to form
triangle A’B’C’ for A’(-5, 4), B’(-2, 7), and C’(-4, 1).
20. The vertices of triangle KMN are K(12, 3), M(-5, 2), and N(8, -4). Describe the translation used to
form triangle K’M’N’ for K’(18, 0), M’(1, -1), and N’(14, -7).
21. The vertices of triangle XYZ are X(4, 4), Y(-5, 9), and Z(10, 5). Describe the translation used to form
triangle X’Y’Z’ for X’(-6, -1), Y’(-15, 4), and Z’(0, 0).
22. The vertices of triangle DEF are D(0, 3), E(1, 8), and F(-3, 4). Describe the rotation used to form triangle
D’E’F’ for D’(3, 0), E’(8, -1), and F’(4, 3).
23. The vertices of triangle PQR are P(9, -2), Q(1, 0), and R(-7, 3). Describe the rotation used to form triangle
P’Q’R’ for P’(-9, 2), Q”(-1, 0), and R’(7, -3).
24. The vertices or triangle ANW are A(0, -9), N(0, 0), and W(6, 1). Describe the rotation used to form triangle
A’N’W’ for A’(9, 0), N’(0, 0), and W’(-1, 6).
Determine the transformation used to form each image.
25. The vertices of triangle GHJ are G(-5, 3), H(2, 6), and J(-6, 2). Describe the reflection used to form triangle
G’H’J’ for G’(5, 3), H’(-2, 6), and J’(6, 2).
26. The vertices of triangle STW are S(15, -6), T(-2, 3) and W(-8, -8). Describe the reflection used to form
triangle S’T’W’ for S’(15, 6), T’(-2, -3) and W’(-8, 8).
27. The vertices of triangle BGZ are B(11, 0), G(-2, 7), and Z(-4, 0). Describe the reflection used to form triangle
B’G’Z’ for B’(11, 0), G’(-2, -7), and Z’(-4, 0).
Identify the transformation used to create ∆𝑿𝒀𝒁 in each. List the corresponding sides and angles of the
congruent triangles using congruence symbols and write a congruence statement.
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