Name: ________________________ Class: ___________________ Date: __________
ID: A
Chapter 12 Practice Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
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1. Tell whether the transformation appears to be a reflection. Explain.
a. Yes; the image appears to be flipped across a line.
b. No; the image does not appear to be flipped.
2. Which statement correctly describes a step in the process of drawing a reflection?
a. Through each vertex draw a line perpendicular to the line of reflection.
b. Measure the distance from each vertex to the line of reflection. Locate the image of each
vertex on the same side of the line of reflection and the same distance from it.
c. Connect the pre-images of the vertices.
d. Measure the distance from each vertex to the line of reflection. Locate the pre-image of
each vertex on the opposite side of the line of reflection and the same distance from it.
3. Reflect a figure with vertices A(1, 2), B(3, 6), C(1, 2), and D(2,  2) across the x-axis. Find the coordinates
of the new image.
a. A' (1,  2), B' (3,  6), C' (1,  2), and D' (2, 2)
b. A' (1,  2), B' (3,  6), C' (1,  2), and D' (2, 2)
c. A' (1, 2), B' (3, 6), C' (1,  2), and D' (2,  2)
d. A' (1, 2), B' (3, 6), C' (1, 2), and D' (2,  2)
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4. Find the coordinates of the image of the point (5,7) when it is reflected across the line y  11.
a. (5, 18)
c. (5,  4)
b. (5, 15)
d. (5,  7)
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5. Tell whether the transformation appears to be a translation. Explain.
a.
b.
Yes; all of the points have moved the same distance in the same direction.
No; not all of the points have moved the same distance.
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Name: ________________________
ID: A
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6. Tell whether the transformation appears to be a translation. Explain.
____
a. Yes; all of the points have moved the same distance in the same direction.
b. No; not all of the points have moved the same distance.
7. Tell whether the transformation appears to be a translation. Explain.
____
a. Yes; all of the points have moved the same distance in the same direction.
b. No; not all of the points have moved the same distance.
8. Tell whether the transformation appears to be a translation. Explain.
a.
b.
____
Yes; all of the points have moved the same distance in the same direction.
No; not all of the points have moved the same distance.
9. Translate the triangle with vertices A(3, 4), B(2,  1), and C(4, 12) along the vector 1, 3 . Find the
coordinates of the new image.
a. A (2, 7), B  (1, 2), and C (3, 15)
b. A (3, 12), B  (2,  3), and C (4, 36)
c. A (4, 7), B  (3,  2), and C (5, 15)
d. A (6, 3), B  (5,  2), and C (7, 11)
2
Name: ________________________
ID: A
____ 10. Tell whether the transformation appears to be a rotation. Explain.
a. No; the figure appears to be flipped.
b. Yes; the figure appears to be turned around a point.
____ 11. Rotate RSQ with vertices R(4, –1), S(5, 3), and Q(3, 1) by 90° about the origin.
a.
c.
b.
d.
____ 12. The point G(5,  9) is rotated 90 about point M(8, 3) and then reflected across the line y  9 . Find the
coordinates of the image G  .
a. (9, 13)
c. (21, 27)
b. (4, 2)
d. (14, 2)
3
Name: ________________________
ID: A
____ 13. Tell whether the figure has rotational symmetry. If so, give the angle of rotational symmetry and the order of
the symmetry.
a.
b.
c.
d.
The figure has no rotational symmetry.
Yes, the figure has rotational symmetry. The angle of rotational symmetry is 180°, and the
order of the symmetry is 2.
Yes, the figure has rotational symmetry. The angle of rotational symmetry is 90°, and the
order of the symmetry is 4.
Yes, the figure has rotational symmetry. The angle of rotational symmetry is 45°, and the
order of the symmetry is 8.
4
Name: ________________________
ID: A
____ 14. Describe the symmetry of the quilt patch. Draw all the lines of symmetry. If there is rotational symmetry, give
the angle and order.
a.
line symmetry and rotational symmetry
angle of rotational symmetry: 180°;
order: 2
c.
line symmetry and rotational symmetry
angle of rotational symmetry: 180°;
order: 2
b.
line symmetry and rotational symmetry
angle of rotational symmetry: 90°;
order: 4
d.
line symmetry and rotational symmetry
angle of rotational symmetry: 90°;
order: 4
5
Name: ________________________
ID: A
____ 15. Tell whether the rectangular prism has plane symmetry, symmetry about an axis, or neither.
a. plane symmetry and symmetry about an axis
b. plane symmetry
c. symmetry about an axis
d. neither type of symmetry
____ 16. Tell whether the transformation appears to be a dilation. Explain.
a. Yes; the figures are similar, and the image is not turned or flipped.
b. No; the figures are not similar.
____ 17. Tell whether the transformation appears to be a dilation. Explain.
a.
b.
Yes; the figures are similar, and the image is not turned or flipped.
No; the figures are not similar.
6
Name: ________________________
ID: A
____ 18. Tell whether the transformation appears to be a dilation. Explain.
a. Yes; the figures are similar, and the image is not turned or flipped.
b. No; the figures are not similar.
____ 19. Tell whether the transformation appears to be a dilation. Explain.
a.
b.
Yes; the figures are similar, and the image is not turned or flipped.
No; the figures are not similar.
7
ID: A
Chapter 12 Practice Test
Answer Section
MULTIPLE CHOICE
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A
A
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B
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B
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