141Course 3 • Chapter 6 Transformations
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Test, Form 3A
1.
2.
3.
4.
5.
Write the correct answer in the blank at the right of each question.
1. The triangle N′L'M' shown was reflected over the x-axis. Find the original coordinates of the triangle NLM.
y
x
′
′
′
2. In the figure at the right, �X' Y' Z' is a dilation of �XYZ. Find the scale factor of the dilation, and classify it as an enlargement or a reduction.
y
x
′ ′
′
For Exercises 3 and 4, triangle PQR is rotated 90° clockwise about the origin. The vertices of the triangle are P(3, 1), Q(1, 4), and R(2, -5).
3. Find the coordinates of P', Q', and R'.
4. What is true about triangles PQR and P'Q'R'?
5. The point M'(4, -5) is the result of a translation of 4 units left and 2 units up. Use translation notation to describe the translation.
N(-2, -1),
L(2, -3), M(4, 0)
2,
enlargement
P'(1, -3),
Q'(4, -1),
R'(-5, -2)
They are the same shape
and size.
(x - 4, y + 2)
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P rinter P DF
142 Course 3 • Chapter 6 Transformations
NAME _____________________________________________ DATE __________________ PERIOD _________
SCORE _________Copyright ©
The McG
raw-H
ill Companies, Inc. Perm
ission is granted to reproduce for classroom use.
Test, Form 3A (continued)
6. What are the coordinates of the image of A(2, 5) after it is rotated 180° clockwise about the origin?
7. A projector transforms the image on a computer screen so that it is dilated by a scale factor of 7 −
2 . If the original image on the
screen is 10 inches wide, find the new width after it is projected on the wall.
For Exercises 8–10, refer to the graph of �YZW at the right.
8. Graph and label the image of �YZW after a translation 2 units right and 1 unit down.
9. Graph and label the image of �YZW after a reflection over the y-axis.
10. Graph and label the image of �YZW after a dilation by a scale factor of 1 −
2 .
6.
7.
8.
9.
10.
y
(-4, 2) (4, 2)
x
(0, -4)
y
O x
y
O x
Test, Form 3A (continued)
y
O x
(-2, -5)
35 in.
Z′(-4, 2)
W′(0, -4)
Y′(4, 2)
W′(0, -2)
Y′(-2, 1) Z′(2, 1)
Y′(-2, 1)
W′(2, -5)
Z′(6, 1)
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P rinter P DF
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