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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142 Course 3 • Chapter 6 Transformations

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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