Transformations Test
Use trapezoid GHIJ for questions 1-4.
1. If the original figure is translated 3 units left and 4 units down, what are the
coordinates of G’?
2. If the original figure is rotated 90° clockwise about the origin, what are the
coordinates of H’?
3. If the original figure is reflected over the y-axis, what are the coordinates of I’?
4. After a translation, the coordinates of J’ are (-3,-4). Represent the translation
algebraically.
(x,y)  (x ________, y_________)
5. The ordered pair R (-2,7) is translated 5 units to the right and down 2 units. Use an
algebraic representation to describe the translation.
(x,y)  (x ________, y_________)
6. Triangle FGH has vertices F(3,-1) G(5,-1) and H(5,2). What are the coordinates of the
image of point H after a translation of 1 unit to the right and 3 units down?
7. Quadrilateral JKLM has vertices J(-4,4) K(-4,1) L (1,1) and M(1,4). What are the
coordinates of the image of point K after a reflection across the x-axis?
J’ (___,___) K’ (___,___) L’ (___,___) M’ (___,___)
8. Quadrilateral WXYZ has vertices W(-6,7) X(-4,3) Y(-4,-1) and Z(-6,-5). What are the
coordinates of the image of each point after a translation (x,y)  (x+6, y-4)?
9. Write an algebraic expression to represent a reflection over the y-axis. (Write the
rule.)
10. Triangle ABC has vertices A(3,2) B(-2,3) and C(1,-3). The triangle is reflected over
the x-axis and then translated 2 units left from triangle A’B’C’. What are the coordinates
of A’B’C’?
A’ (___,___) B’ (___,___) C’ (___,___)
11. Quadrilateral KLMN has vertices K(2,-1) L(5,-2) M(7,-5) N(4,-4). The quadrilateral
is rotated 90° clockwise about the origin and then translated 1 unit down. What are the
coordinates of the vertices of K’L’M’N’?
K’ (___,___) L’ (___,___) M’ (___,___) N’ (___,___)
12. The ordered pairs of rectangle ABCD are shown in the table. What is the area of the
rectangle after a dilation with a scale factor of 2?
Vertex
A
B
C
D
A.
B.
C.
D.
Point
(-3,1)
(-3,3)
(2,1)
(2,3)
10 square units
20 square units
28 square units
40 square units
13. Rectangle ABCD is rotated by 270° about the origin and then dilated by a scale
factor of 4 to create rectangle A’B’C’D’. What is the length of side B’C’?
A.
B.
C.
D.
1.75 units
7 units
14 units
28 units
14. Trianlge ABC was dilated to create triangle A’B’C’. What is the scale factor of the
dilation.
Record your answer on your answer document and fill in the bubbles. Be sure to use the
correct place value!
Match the vocabulary word with the definition.
15. A change in position, shape, size, or
orientation.
A. Rotation
16. Transformation that moves points in
a coordinate plane the same distance in
the same direction.
B. Reflection
17. Transformation that creates a mirror
image over a given line.
C. Translation
18. The image created after a
transformation.
D. Dilation
19. Transformation that turns a given
figure around a given point.
E. Transformation
20. Transformation that makes a figure
larger or smaller by a scale factor.
F. Prime