Transformations Review
Name: _____________________________
Perform the following transformations on the coordinate plane. Label the coordinates of the new shape.
1.
2.
4. Rotate 90⁰ counter clockwise about the
point (1, -2).
3.
5.
6.
State whether the following shapes show an isometry. Explain why or why not.
7.
8.
Transformations Review
Name: _____________________________
9. Write a rule in the form: (x, y) → ( , ) to describe the following transformations.
Then identify the type of transformation that occurred for each graph.
Tell which type of symmetry each figure has, and draw the line(s) of symmetry if applicable. If the
figure has rotational symmetry state the angle of rotation.
10.
11.
12.
CHECKBOOK
13. Using a compass and straight edge, construct the reflection of the rectangle over the given line.
Transformations Review
Name: _____________________________
Find the image of
for a dilation with center (0, 0) and the given scale factor.
14. L (1, 2) M (3, 0) N (3, 3); scale factor 2
L’ _______________
M’ _______________
N’ _______________
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Use the following diagram for questions #31 and 32 (the dashed figure is the image of the solid figure).
D
R
E
S
C
F
____ 15. Name the image of
.
a.
b.
____ 16. Name the image of
a.
Q
Q
T
c.
d.
ST
d.
S
F.
b.
T
c.
R
Transformations Review
Use the diagram for questions #17 and 18.
Name: _____________________________
y
E8
4
C
–8
A
–4
4
–4
8
x
D
B
–8
____ 17.
Find the rule that describes the translation B
C.
a ( x, y )  ( x  8, y  14) b ( x, y )  ( x  4, y  10) c ( x, y )  ( x  7, y  2) d ( x, y )  ( x, y  15)
.
.
.
.
____ 18. Find the image of C under the translation described by ( x, y )  ( x  12, y  4) .
a. B
b. D
c. E
d. A
____ 19. Describe in words the translation represented by the rule ( x, y )  ( x  4, y  6) .
a. 4 units to the right and 6 units up
b. 4 units to the left and 6 units down
c. 4 units to the left and 6 units up
d. 6 units to the right and 4 units up
____ 20. Find the image of R(2,5) after being translated left four and reflected across the x-axis.
a. (8,-5)
b. (5,-5)
c.
(-2,-5)
d. (-5,5)