Quiz:

1. Locate the image of A after a translation of (-2, 3).

A. (4, -3)

B. (-1, 2)

C. (3, 4)

D. (1, -2)

Ans:D

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2. What are the coordinates of the preimage of X'?

A. (-6, -3) B. (-1, 1)

C. (5, 4) D. (6, 3)

Ans: C

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3. Draw the image of triangle DEF if it is translated by (1, 4).

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4. Quadrilateral PQRS has vertices P(-1, 3), Q(2, 3), R(3, -4),

and S(-3, -3). What are the coordinates of the vertices after a translation

of (-1, 2)?

A. P'(-2, 1), Q'(1, 1), R'(2, -6), S'(-4, -5)

B. P'(0, 1), Q'(3, 1), R'(4, -6), S'(-2, -5)

C. P'(-2, 5), Q'(1, 5), R'(2, -2), S'(-4, -1)

D. P'(0, 5), Q'(3, 5), R'(4, -2), S'(-2, -1)

Ans: D

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5. The translation image triangle X’Y’Z’ is shown below. If the preimage was translated (2, 1), what are the coordinates of the preimage vertices?

A. X(5, 3), Y(4, -5), Z(-1, 3)

B. X(1, 3), Y(0, -5), Z(-5, 3)

C. X(1, 5), Y(0, -3), Z(-5, 5)

D. X(5, 5), Y(4, -3), Z(-1, 5)

Answer: C

6. Find the coordinates of A(7, 4) after it is reflected over the x-axis.

A. A'(-7, -4)

B. A'(7, 4)

C. A'(-7, 4)

D. A'(7, -4)

Ans: D

7. What are the coordinates of J if J'(-3, -2) is its reflection across the y-axis?

A. J(-3, -2)

B. J(3, -2)

C. J(3, 2)

D. J(-3, 2)

Ans: B

8. Graph the image of after a reflection across the x-axis.

9. Determine the coordinates of the image of if it is reflected across the y-axis.

A. J'(-1, 2), K'(1, -1), L'(-3, -1)

B. J'(1, 2), K'(-1, -1), L'(3, -1)

C. J'(-1, -2), K'(1, 1), L'(-3, -1)

D. J'(1, -2), K'(1, 1), L'(3, 1)

Ans: B

10. Find the coordinates of the vertices of quadrilateral DEFG after a reflection across the x-axis, then across the y-axis.

A. D'(2, -4), E'(-1, -4), F'(-2, -2), G'(3, -1)

B. D'(2, 4), E'(-1, 4), F'(-2, 2), G'(3, 1)

C. D'(-2, 4), E'(1, 4), F'(2, 2), G'(-3, 1)

D. D'(-2, -4), E'(1, -4), F'(2, -2), G'(-3, -1)

Ans: A

11. Quadrilateral ABCD is rotated 90° clockwise about the origin. What are the coordinates of the vertex A?

A. (3, 1) B. (-3, 1)

C. (3, -1) D. (-3, -1)

Answer: C

12. What are the coordinates of B' after a counterclockwise rotation about the origin of 180°?

A. (-1, -3) B. (-3, -1)

C. (-1, 3) D. (-3, 1)

Answer: B

13. If quadrilateral ABCD is rotated 180° counterclockwise, what are the coordinates of D'?

10. Find the coordinates of the vertices of quadrilateral DEFG after a reflection across the x-axis, then across the y-axis.

A. D'(2, -4), E'(-1, -4), F'(-2, -2), G'(3, -1)

B. D'(2, 4), E'(-1, 4), F'(-2, 2), G'(3, 1)

C. D'(-2, 4), E'(1, 4), F'(2, 2), G'(-3, 1)

D. D'(-2, -4), E'(1, -4), F'(2, -2), G'(-3, -1)

11. Quadrilateral ABCD is rotated 90° clockwise about the origin. What are the coordinates of the vertex A?

A. (3, 1) B. (-3, 1)

C. (3, -1) D. (-3, -1)

Answer: C

12. What are the coordinates of B' after a counterclockwise rotation about the origin of 180°?

A. (-1, -3) B. (-3, -1)

C. (-1, 3) D. (-3, 1)

Answer: B

13. If quadrilateral ABCD is rotated 180° counterclockwise, what are the coordinates of D'?

A. (0, 2) B. (2, 0)

C. (0, -2) D. (-2, 0)

Answer: B.

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14. The vertices of triangle RST are R(-2, 5), S(4, 2), and T(1, -1). Find the vertices after triangle RST is rotated 90° counterclockwise about the origin.

A. R'(5, 2), S'(2, -4), T'(-1, -1)

B. R'(-5, -2), S'(-2, 4), T'(1, 1)

C. R'(2, -5), S'(-4, -2), T'(-1, 1)

D. R'(-2, -5), S'(4, -2), T'(1, 1)

Answer: B

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15. The transformation of triangle XYZ is a_________.

A. reflection across the x-axis

B. 90° clockwise rotation about the origin

C. 180° counterclockwise rotation about the origin

D. translation of (-6, -2)

Answer: A

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16. A transformation in which the image of a figure is larger or smaller is a_________.

A. dilation B. translation

C. rotation D. reflection

Answer: A

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17 The endpoints of line PQ are P(-4, 6) and Q(2, 8). If line PQ is transformed by a scale factor of 2.5, what are the coordinates of the endpoints of ?

A. P'(-8, 12), Q'(4, -16) B. P'(-10, 15), Q'(5, -20)

C. P'(10, -15), Q'(-5, 20) D. P'(-1.6, 2.4), Q'(0.8, -3.2)

Answer: B

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18. Determine the scale factor used in the dilation of a figure if vertex

A(9, -18) has the image A'(6, -12).

Answer: 2/3

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19. Find the coordinates of the dilation image for triangle DEF with vertices

D(-1, -1), E(2, 5), and F(3, -2) for the scale factor 3.

A. D'(-4, -4), E'(-1, 2), F'(0, -5)

B. D'(2, 2), E'(5, 8), F'(6, 1)

C. D'(-3, -3), E'(6, 15), F'(9, -6)

Answer: C

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20. Graph the image of triangle JKL if the scale factor is 1/2.