Name: _____________________________________
Transformations Test Review
1. Write the rule for a reflection over the x-axis.
2. Write the rule for a reflection over the y-axis.
3. Write the rule for a 90° clockwise rotation and a 270° counter-clockwise rotation.
4. Write a rule for a 180° rotation.
5. Write a rule for a 270° clockwise rotation and a 90° counter-clockwise rotation.
6. Write a rule for a 360° rotation.
7. The quadrilateral shown is rotated 90° clockwise about the origin. In which quadrant is the image of
the quadrilateral located?
8. Using the quadrilateral from number 1, write down the original coordinates, and the new coordinates
after the 90° clockwise rotation.
9. What transformations always produce congruent figures? Explain.
10. What transformations only sometimes produce congruent figures? Explain.
11. The table shows the coordinates of trapezoid ABCD and trapezoid A′B′C′D′ after a transformation.
What are the coordinates of point C’?
Trapezoid ABCD
Trapezoid A′B′C′D′
A(–4, 2)
A′(–7, 0)
B(–2, 4)
B′(–5, 2)
C(2, 4)
?
D(4, 2)
D′(1, 0)
12. Graph the image of U ( 4, 10 ) after a rotation of 180° about the origin.
13. Write the coordinates of the vertices after a reflection across the x- axis.
14. Δ DEF is dilated using a scale factor of
1
2
. What is the length of D’E’?
15. Write an algebraic rule for a translation that moves a triangle 4 units to the right and 8 units up.
16. Write the coordinates for ΔPQR after a translation of 10 units left and 9 units up.
In what Quadrant is ΔP’Q’R’ located now?
17. Rotate the image 90° clockwise.
18. The vertices of a triangle are (-1, 1) (-4, 5) and (-2, 6). Graph the new image after a reflection across the
y-axis.
19. Name the Transformation.
20. What are the only times that a dilation will produce a congruent figure? Explain.
21. Graph the image of the figure based on the transformation: (x, y)  (x - 4, y + 5)
22. Graph the image of the kite EFGH after a dilation with a scale factor of
1
, centered at the origin.
4
23. What would the new coordinates of the image be if it was reflected over the x-axis?
24. Write a rule for the transformation.
25. Δ ABC was dilated to create Δ A’B’C’. What was the scale factor used to dilate the image?