CC GPS Coordinate Algebra
Unit 5 – Transformations in the Coordinate Plane
Name_____________________________________________ Review #2
Write the rule for each transformation.
3/26/14
1. Reflection over the x-axis
2. Reflection over the y-axis
3. Reflection over the line y = x
4. Reflection over the line y = -x
5. 90 degree rotation clockwise
6. 90 degree rotation counterclockwise
7. 180 degree rotation
Use the given rule to find A’. State what type of transformation is taking place. (Translation, Reflection,
Rotation, Dilation, Horizontal Stretch/Shrink, or Vertical Stretch/Shrink)
8. (x, y) →(x + 4, y – 7)
A( -3, -8)
A’ ____________
Type _____________________________
9. (x, y) →(-x,- y)
A(8, 5)
A’ ____________
Type _____________________________
10. (x, y)→(-x, y)
A(-3, 4)
A’ ____________
Type _____________________________
11. (x, y)→(-y, -x)
A(-12, 1)
A’ ____________
Type _____________________________
12. (x, y) →(y, -x)
A(4, 1)
A’ ____________
Type _____________________________
13. How many degrees would you have to turn the hexagon clockwise to
get piece #2 in the bottom center position (where #1 started)?
5
4
2
6
1
State which type of transformation takes place in the graph. BE SPECIFIC.
14.
15.
B'
10
10
C'
8
A'
6
6
4
A
B
-2
A
2
4
2
6
8 10
-10 -8 -6 -4 -2
-4
A
-6
-8
-10
-8
B
C'
2
C-2
-4
-6
A'
4
2
-10 -8 -6 -4 -2
B'
8
-10
4
6
8 10
3
CC GPS Coordinate Algebra
Unit 5 – Transformations in the Coordinate Plane
16. Use the graph to the right to answer questions a – c. BE SPECIFIC
10
B
B'
8
a) What transformation takes ∆ABC to ∆A’B’C’?
A
A'
6
4
b) What transformation takes ∆ A’B’C’ to ∆A”B”C”?
C
2
-10 -8 -6 -4 -2
c) What single transformation could have been done
to go directly from ∆ABC to ∆A”B”C”?
C"
-2
C'
2
4
6
8 10
-4
A"
-6
-8
B"
17. Use the graph to the right to answer questions a – c. BE SPECIFIC
-10
N"
N
10
a) What transformation takes quadrilateral MNOP to M’N’O’P?
8
M"
6 M
b) What transformation takes quadrilateral M’N’O’P’ to
M”N”O”P”?
c) What single transformation could have been done
to go directly from quadrilateral MNOP to M”N”O”P”?
O"
P"
-10 -8 -6
M' -4 -2
N'
P'
2
-2
-4
18. Translation (x, y)  (x + 8, y – 3)
10
8
6
4
2
-10 -8 -6 -4 -2
2
-2
-4
-6
-8
-10
4
6
8 10
-8
O'
P
2
-6
Perform the transformations. LABEL.
O
4
-10
19. Reflection across the line y = x.
4
6
8 10
CC GPS Coordinate Algebra
Unit 5 – Transformations in the Coordinate Plane
20. Translate MNOP (x,y) ->(x -6, y-3) followed by
a reflection over the line x = 2.
21. Translation using the rule(x,y)--> (x+3, y)
followed by a rotation of 180 degrees around the
origin.
List all coordinates:
P( ) ->P’( )-> P’’( ) O( )-> O’ ( )-> O’’( )
M( )-> M’( )->M’’( ) N( )-> N’( ) ->N’’( )
22. Glide reflection- translate JKL 5 units
to the left followed by a
reflection of the line y = -2
23.
Rotation 90° clockwise about the origin followed
by a reflection across the y-axis.
Write the rules:
List all coordinates:
G( )->G’( )->G”( )
T(
)->T’( )->T”(
B(
)->B’( )->B”(
24. Which one of the images can be rotated to match the letter J on the left?
(a)
(b)
(c)
25. Which one of the images can be reflected to match the letter Z on the left?
(a)
(b)
(c)
How many lines of symmetry does the given object appear to have?
26.
27.
)
)
CC GPS Coordinate Algebra
Unit 5 – Transformations in the Coordinate Plane
28. In the diagram, || m and ABC is reflected first in line
and then in line m. This set of reflections is equivalent to
doing what kind of singular transformation?
29. If and m were intersecting lines, and ABC was reflected first in line
would the resulting transformation be?
and then in line m, what
Describe any rotations (of 180° or less) that will map each figure onto itself.
30.
31.
32.
An isometry is a transformation in the plane that preserves length. Identify each transformation that is
an isometry. For the ones that are isometries, identify which type of transformation is shown.
(Preimages are unshaded and images are shaded.)
33.
34.
35.
36.
37.
Multiple Transformations: Label each step correctly.
38. Translation (x, y)  (x + 9, y – 8)
Rotation 90° CCW about the origin
39. Translation (x, y)  (x + 4, y – 2)
Rotation 180° about the origin.
Reflection about the line y = x.
40. State the degree of rotation for each figure that is less than or equal to 1800.
a.
b.
c.
d.
e.
f.
Square__________
Rectangle_______
X________________
Pentagon________
Diamond_________
Hexagon_________
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