CHAPTER
Chapter Review
12 12-1 Reflections Tell whether each transformation appears to be a reflection. 1.
2.
Yes, the image appears to be flipped across a line.
No, the figure does not appear to be flipped.
Copy each figure and the line of reflection. Draw the reflection of the figure across the line. 3.
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4.
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CHAPTER 12 REVIEW CONTINUED
Tell whether each formation appears to be a translation. 5.
6.
No, the figure appears to have been flipped.
Yes, the figure appears to slide.
7. An interior decorator represents a mural on a wall with a rectangle with vertices (4, 1), (7, 1), (7, 5) and (4, 5). She decides to move the mural on the wall to a new location by translating along the vector 3, 2. Draw the mural in its final position. y 8 4
–8
4
–4
8
x
–4 –8
12-3 Rotations Tell whether the transformation appears to be a rotation. 8.
9.
Yes, the figure appears to have turned around a point.
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No, the figure appears to have been flipped.
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Rotate each figure with the given vertices about the origin using the given angles of rotation. 11. A(2, 5), B(4, 2), C(–2, 0); 90°
10. A(1, 2), B(3, 2), C(4, 0), D(0, 0); 180° A(1, 2), B(3, 2), C(4, 0), D(0, 0)
A(5, 2), B(2, 4), C(2, 0)
12-4 Compositions of Transformations 12. Draw the result of the following composition of transformations. Translate RSTU along V and then reflect it across line k.
k R U
T"
S →
v U"
S" T R" k
R U
R'
S U'
S'
T T'
13. DEF with vertices D(3, 5), E(6, 1) and F(1, 3) is reflected across the y-axis and then its image is reflected across the x-axis. Describe a single transformation that moves the triangle from its starting position to its final position. The image has been rotated 180°.
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Geometry
CHAPTER 12 REVIEW CONTINUED
12-5 Symmetry Explain whether each figure has a line of symmetry. If so, copy the figure and draw all lines of symmetry. 14.
15.
16.
no line of symmetry
no line of symmetry
Explain whether each figure has rotation symmetry. If so, give the angle of rotation symmetry and the order of the symmetry. 17.
18.
No rotational symmetry
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19.
Yes, 180°, order: 2
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Yes, 90°, order: 4
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CHAPTER 12 REVIEW CONTINUED
12-7 Dilations Tell whether each transformation appears to be a dilation. 27.
28.
Yes, the figures are similar, and the image is not turned or flipped.
29.
No, the figures are not similar in shape.
No, the figure has been flipped.
Draw the image of the figure with the given vertices under a dilation with the given scale factor centered at the origin. 30. R(2, 3), S(3, 5) and T(5, 5); scale factor: 2 y
10 8 6 4 2 –2
2
4
6
8
x
10
–2
1
31. A(–8, 6), B(–8, 4), C(1, 6), D(1, 4); Scale factor: 2 y
8 6 4 2 –8
–6
–4
–2
2
4
x
–4 Copyright © by Holt, Rinehart and Winston. All rights reserved.
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