Skill practice ch. 2 Transformations

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Name ____________________________________________ Date ____________ Class ____________
Additional Practice
Investigation 2
Kaleidoscopes, Hubcaps, and Mirrors
Describe a reflection or a combination of two reflections that would move
Shape 1 to exactly match Shape 2.
1.
y
5
1
5
O
5
x
5
2
2.
y
5
5
O
5
x
1
5
2
84

Name ____________________________________________ Date ____________ Class ____________
Additional Practice (continued)
Investigation 2
Kaleidoscopes, Hubcaps, and Mirrors
Draw the image of the polygon under a reflection in the line. Describe what
happens to each point on the original polygon under the reflection.
3.
A
B
C
4.
C
A
B
E
D
F
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A shape and its image under a line reflection are given. Do parts (a) and (b).
a. Draw the line of symmetry for the figure.
b. Label three points on the figure, and label the corresponding image points.
5. 6.
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Name ____________________________________________ Date ____________ Class ____________
Additional Practice (continued)
Investigation 2
Kaleidoscopes, Hubcaps, and Mirrors
For Exercises 7 and 8, perform the translation indicated by the arrow. Describe
what happens to each point of the original figure under the translation.
7. A
8.
C
D
B
A
B
E
C
9. Rotate triangle ABC 90° clockwise about point R. Describe what happens to
each point of triangle ABC under the rotation.
B
A
R
C
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Name ____________________________________________ Date ____________ Class ____________
Additional Practice (continued)
Investigation 2
Kaleidoscopes, Hubcaps, and Mirrors
10. Rotate polygon ABCDEF 180° about point F. Describe what happens to
each point of polygon ABCDEF under the rotation.
C
A
B
D
F
E
For Exercises 11-13, refer to this diagram.
B
C
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A D
P
11. Draw the image of square ABCD under a reflection in the line.
12. Draw the image of square ABCD under a 45° rotation about point D.
13. Draw the image of square ABCD under the translation that slides point D to
point P.
87

© Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.
Name ____________________________________________ Date ____________ Class ____________
Additional Practice (continued)
Investigation 2
Kaleidoscopes, Hubcaps, and Mirrors
For Exercises 14–17, a polygon and its image under a transformation are given.
Decide whether the transformation was a line reflection, a rotation, or a
translation. Then indicate the reflection line, the center and angle of rotation, or
the direction and distance of the translation.
14. 15.
3’
2 2’
2
1
3
1’
1
1’
2’
3
3’
16. 2
17. 2
1
3 2’
1
3
1’
3’
1’
3’
2’
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Name ____________________________________________ Date ____________ Class ____________
Additional Practice (continued)
Investigation 2
Kaleidoscopes, Hubcaps, and Mirrors
18. Suppose the shape below is translated according to the rolls of a six-sided
number cube.
• If a 1, 2, or 3 is rolled, the shape is translated 3 units to the right.
• If a 4 is rolled, the shape is translated 3 units up.
• If a 5 is rolled, the shape is translated 3 units down.
• If a 6 is rolled, the shape is translated 3 units to the left
a. Draw the shape in its location after the following sequence of rolls: 3, 5, 6.
What are the new coordinates of a general point (x, y) on the shape after
this sequence of rolls?
3
y
3
O
3
x
3
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b. Draw the shape in its location after the following sequence of rolls: 1, 6, 4,
What are the new coordinates of a general point (x, y) on the shape after
this sequence of rolls?
3
3
3
c. What sequence of rolls will produce a final image whose coordinates are
all negative?
y
O
3
x
89

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Name ____________________________________________ Date ____________ Class ____________
Additional Practice (continued)
Investigation 2
Kaleidoscopes, Hubcaps, and Mirrors
19. Describe two different sets of transformations that would move square
PQRS onto square WXYZ.
W
P
Q
Z
X
S
R
Y
20. Use the figure below to answer (a)–(g).
a. Write the coordinates of the points A, B, C, D.
B
y
A
b. Write the coordinates of the image of ABCD
after a reflection in the x-axis.
c. Write the coordinates of the image of ABCD
after a reflection in the y-axis.
3
2
C
1
2 1 O
1
2
D
1 2
x
3
d. Write the coordinates of the image of ABCD
after a translation of 3 units to the right.
4
e. Write the coordinates of the image of ABCD after a translation of 4 units
to the left.
f. Write the coordinates of the image of ABCD after a translation of
2 units up.
g. Write the coordinates of the image of ABCD after a translation of
1 unit down.
90

Name ____________________________________________ Date ____________ Class ____________
Additional Practice (continued)
Investigation 2
Kaleidoscopes, Hubcaps, and Mirrors
21. Use the figure below to answer parts (a)–(e).
y
B
4
3
2
1
C
4 3
2
1 O
1
A
1 2 3 4
x
2
4
D
a. Write the coordinates of the points A, B, C, D.
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b. Write the coordinates of the image of ABCD after a reflection in the
line x 1.
c. Write the coordinates of the image of ABCD after a reflection in the
line x 2.
d. Write the coordinates of the image of ABCD after a reflection in the
line y 1.
e. Write the coordinates of the image of ABCD after a reflection in the
line y 3.
91

© Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.
Name ____________________________________________ Date ____________ Class ____________
Additional Practice (continued)
For Exercises 22 and 23, suppose the pattern in the graph continues in both
directions. Identify a basic design element that could be copied and transformed
to make the entire pattern, and describe how the pattern could be made from
that design element.
Investigation 2
Kaleidoscopes, Hubcaps, and Mirrors
22.
y
3
5
O
5 10
x
3
23.
y
3
5
O
5
x
3
24. Plot the points (2, 4), (3, 5), (5, 5), (4, 4), (5, 3), and (3, 3) on a coordinate grid.
Form a polygon by connecting the points in order and then connecting the
last point to the first point. Reflect the polygon in the y-axis. Then translate
the image 6 units to the right. Finally, rotate the second image 90° about the
origin. What are the coordinates of the vertices of the final image?
5 4 3 2
5
4
3
2
1
O
2
3
4
5
1 2 3 4 5
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