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Name _______________________________________ Date __________________ Class __________________
Practice A
Transformations in the Coordinate Plane
Complete the statements.
1. A ____________________ is the movement of a figure from its original position
to a new position.
2. The ____________________ position is called the preimage. The new position
is called the ____________________.
3. A ____________________ (or flip) is a transformation across a line.
4. A translation (or ____________________) is a transformation in which all the
points of a figure move the same distance in the same direction.
5. A ____________________ (or turn) is a transformation about a point.
Match the number below each diagram with the name of the transformation
pictured. Then use arrow notation to describe each transformation.
6. rotation _______
________________________
7. translation _______
________________________
9. A figure has vertices at X(3, 3), Y(1, 2),
and Z(3, 0). After a transformation, the
image of the figure has vertices at
X(3, 3), Y(1, 2), and Z(3, 0).
Draw the preimage and the image.
Then identify the transformation.
8. reflection _______
________________________
_______________
10. Draw and label the image of STUV
after the translation (x, y)  (x, y  5).
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name _______________________________________ Date __________________ Class __________________
quadratic equation perfectly models the
data. For the next fundraiser, Ellen will
raise $30,000 according to the linear
model y  6x  6, or $37,000 according
to the quadratic model y  x2  1.
10.
Problem Solving
1. a. y  0.8x  2.3
Practice B
b. Slope: for each hour practiced, a
player will score 0.8 baskets; y-int.:
a player who practices 0 h will score
2.3 baskets.
c. 0.998
1. 2
2. 1
3. 3
4. rotation
5. G(2.5, 4), H(3.5, 2), I(4, 4), J(5,
6)
2. C
3. F
6. (x, y) 
4. A
5. G
7.
x  7, y  5)
Reading Strategies
1. y  0.8x0.5
2. 0.8
3. 1.3; 2.1; 2.9; 3.7
4. 0.3; 

Practice C
5. 0.09; 0.81; 0.81; 0.09
1. PQR
6. 1.8
Answer Key for Unit 5
TRANSFORMATIONS IN THE
COORDINATE PLANE
Practice A
1. transformation
2. original; image
3. reflection
4. slide
5. rotation
6. 2; ABCD  ABCD
7. 3; PQR  PQR
8. 1; HIJ  HIJ
9.
reflection
2. The vertex labels do not match. For the
rotation, P moves to Q and Q moves to
P.
3. ABC and PQR
4. (x, y)
5. (y, x)
6. (x, y)
7. (x, y)
8. (x, y)  (x 
3 , y  1)
9. 120 meters
Review for Mastery
1. translation; possible answer: FGH
FGH
2. reflection; possible answer: MNP
 MNP
3. reflection; possible answer: WXY
 WXY
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra