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Kuta Software - Infinite Geometry Name___________________________________
All Transformations Date________________ Period____
Graph the image of the figure using the transformation given.
1) rotation 90° counterclockwise about the 2) translation: 4 units right and 1 unit down
origin
y
y
F
G
Y
Z x
x
J
L
3) translation: 1 unit right and 1 unit up 4) reflection across the x-axis
y y
C J
T x x
J M M
K
E
Write a rule to describe each transformation.
5) 6)
y y
D D'
E' E
P I P'
x I' x
C C'
H H'
B B'
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7) 8)
y y
F B
R X
I'
E' G'
E x G x
I
R' X'
F' B'
Graph the image of the figure using the transformation given.
9) rotation 90° clockwise about the origin 10) reflection across y = x
( ) ( ) ( ) ( )
B −2, 0 , C −4, 3 , Z −3, 4 , X −1, 4 ( ) ( ) ( ) ( )
K−5, −2 , A −4, 1 , I 0, −1 , J −2, −4
y y
x x
Find the coordinates of the vertices of each figure after the given transformation.
11) rotation 180° about the origin 12) reflection across y = 2
( ) ( ) ( ) ( )
E 2, −2 , J 1, 2 , R 3, 3 , S 5, 2 ( ) ( ) ( ) ( )
J 1, 3 , U 0, 5 , R 1, 5 , C 3, 2
13) translation: 7 units right and 1 unit down 14) translation: 6 units right and 3 units down
( ) ( ) ( ) ( ) ( ) ( )
J −3, 1 , F −2, 3 , N −2, 0 S −3, 3 , C −1, 4 , W −2, −1
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Kuta Software - Infinite Geometry Name___________________________________
All Transformations Date________________ Period____
Graph the image of the figure using the transformation given.
1) rotation 90° counterclockwise about the 2) translation: 4 units right and 1 unit down
origin
y
y
F
F'
G
Y G'
Z L' Y' x
x
J
L
Z'
J'
3) translation: 1 unit right and 1 unit up 4) reflection across the x-axis
y y
K'
M'
C J
T'
T x x
J' M'
C' J'
J M M
E' K
E
Write a rule to describe each transformation.
5) 6)
y y
D D'
E' E
P I P'
x I' x
C C'
H H'
B B'
translation: 1 unit right reflection across x = 3
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7) 8)
y y
F B
R X
I'
E' G'
E x G x
I
R' X'
F' B'
reflection across the x-axis rotation 180° about the origin
Graph the image of the figure using the transformation given.
9) rotation 90° clockwise about the origin 10) reflection across y = x
( ) ( ) ( ) ( )
B −2, 0 , C −4, 3 , Z −3, 4 , X −1, 4 ( ) ( ) ( ) ( )
K−5, −2 , A −4, 1 , I 0, −1 , J −2, −4
y y
Z X C'
C Z'
B'
A
X' I'
B x x
I
K J'
J A'
K'
Find the coordinates of the vertices of each figure after the given transformation.
11) rotation 180° about the origin 12) reflection across y = 2
( ) ( ) ( ) ( )
E 2, −2 , J 1, 2 , R 3, 3 , S 5, 2 ( ) ( ) ( ) ( )
J 1, 3 , U 0, 5 , R 1, 5 , C 3, 2
( ) ( ) ( ) ( )
E' −2, 2 , J' −1, −2 , R' −3, −3 , S' −5, −2 ( ) ( ) ( ) ( )
U' 0, −1 , R' 1, −1 , C' 3, 2 , J' 1, 1
13) translation: 7 units right and 1 unit down 14) translation: 6 units right and 3 units down
( ) ( ) ( ) ( ) ( ) ( )
J −3, 1 , F −2, 3 , N −2, 0 S −3, 3 , C −1, 4 , W −2, −1
( ) ( ) ( ) ( ) ( ) ( )
J' 4, 0 , F' 5, 2 , N' 5, −1 S' 3, 0 , C' 5, 1 , W' 4, −4
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Infinite Geometry
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