143Course 3 • Chapter 6 Transformations

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Test, Form 3BTest, Form 3BTest, Form 3BTest, Form 3BWrite the correct answer in the blank at the right of each question.

1. The triangle R'K'G' shown was reflected over the x-axis. Find the original coordinates of the triangle RKG.

y

x

′

′

′

2 . In the figure at the right, �D' E' F' is a dilation of �DEF. Find the scale factor of the dilation, and classify it as an enlargement or a reduction.

y

x

′

′

′

For Exercises 3 and 4, triangle LPT is rotated 270° clockwise about the origin. The vertices of the triangle are L(-3, -1), P(1, 2), and T(3, 0).

3. Find the coordinates of L', P', and T'.

4. What is true about triangles LPT and L'P'T'?

5. The point H'(-3, 4) is the result of a translation of 6 units left and 2 units up. Use translation notation to describe the translation.

1.

2.

3.

4.

5.

R(2, -3),

K(4, -1),

G(1, 1)

1 −

2 ; reduction

L'(1, -3),

P'(-2, 1),

T'(0, 3)

They are the same shape

and size

(x - 6, y + 2)

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P rinter P DF

144 Course 3 • Chapter 6 Transformations

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Test, Form 3B (continued)

6. What are the coordinates of the image of Y(-2, 5) after it is rotated 180° clockwise about the origin?

7. An optometrist dilates a patient’s pupils by a scale factor of 5 −

3 . If

the pupil before dilation has a diameter of 6 millimeters, find the new diameter after the pupil is dilated.

For Exercises 8–10, refer to the graph of �TRS at the right.

8. Graph and label the image of �TRS after a translation 3 units left and 2 units down.

9. Graph and label the image of �TRS after a reflection over the y-axis.

10. Graph and label the image of �TRS after a dilation by a scale factor of 1 −

2 .

6.

7.

8.

9.

10.

y

(0, -4)

x

(-2, 2)(0, 2)

y

O x

y

O x

y

O x

Y'(2, -5)

10 mm

R′(-3, 0)

S′(-3, -6)

T′(-5, 0)

R′(0, 2)T′(2, 2)

S′(0, -4)

S′(0, -2)

T′(-1, 1) R′(0, 1)

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P rinter P DF