If trapezoid KLMN shown below is rotated 90° counter
clockwise to the origin to form trapezoid K’L’M’N’, what
are apparent coordinates of M’? (-5, 4)
(-2, 6)
Most likely rotation will not be
asked on the AIMS, but to do
it follow the following pattern.
Transformation
Question # 31
4.2.3 determine the new coordinates of
a point when a single transformation is
performed on a planar geometric
figure.
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0°cc
(a, b)
90°cc
(-b, a)
180°cc
(-a, -b)
270°cc
(b, -a)
360°cc
(a, b)
across the x-axis, the ycoordinate’s sign is reverse.
When you reflect across the
y-axis the - x coordinate is
reversed.
L(2, 5) M(4, 5)
M’
K’
(-5, 2)
(-2, 1)
L’
(6, 2)
K (1, 2)
N
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If trapezoid KLMN shown below is reflected
across the x-axis to form trapezoid K’L’M’N’,
what are apparent coordinates of M’?
(2, 5)(4, -5)
L
M(4, 5)
When a figure is reflected
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1. If trapezoid KLMN shown below is reflected
across the y-axis to form trapezoid K’L’M’N’,
what are apparent coordinates of M’?
A. (-4, 5)
L
M
B. (-4, -5)
K
(1, 2)
K’
(1, -2)
(2, -5)
L’
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(6, 2)
N
C. (4, -5)
N’
D. (4, 5)
(6, -2)
K’
2. If square KLMN shown below is reflected
across the x-axis to form square K’L’M’N’, what
are apparent coordinates of M’?
(2, 5)
(-2, 3)
L
M(4, 5)
M’
K (1, 2)
N’
A. (-4, 5)
L
M
B. (-4, -5)
(6, 2)
N
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C. (4, -5)
K
N
D. (4, 5)
(0, 0)
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If trapezoid KLMN shown below is translated 6 to
the left and 2 down to form trapezoid K’L’M’N’,
what are apparent coordinates of M’? (-2, 3)
When you perform a
translation, to move up and
down you change the y
L’
(-4, 3)
coordinate (+ up) (- down)
and to move left and right you
change the x coordinate
(-5, 0)
(- left) and (+ right)
N
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K
M’(4, -5)
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change to
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continued
To rotate
N’
(-5, 4)
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3. If trapezoid KLMN shown below is translated
10 units down and 8 units to the left to form
trapezoid K’L’M’N’, what are apparent
coordinates of M’?
L
M
A. (-4, 5)
B. (-4, -5)
K
C. (4, -5)
N
6. If rectangle KLMN shown below is reflected
across the y-axis to form rectangle K’L’M’N’,
what are apparent coordinates of M’?
A. (5, -4)
L
M
B. (5, 4)
C. (-5, 4)
K
N
D. (-5, -4)
D. (4, 5)
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4. If trapezoid KLMN shown below is rotated 180°
around the origin to form trapezoid K’L’M’N’,
what are apparent coordinates of M’?
7. If rectangle KLMN shown below is rotated 90°
cc around the origin to form rectangle K’L’M’N’,
what are apparent coordinates of M’?
A. (-4, 5)
A. (5, -4)
L
M
B. (-4, -5)
L
M
B. (4, 5)
C. (4, -5)
K
N
D. (4, 5)
C. (-4, 5)
K
N
D. (-5, -4)
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5. If rectangle KLMN shown below is reflected
across the x-axis to form rectangle K’L’M’N’,
what are apparent coordinates of M’?
8. If rectangle KLMN shown below is translated 3
units to the left to form rectangle K’L’M’N’, what
are apparent coordinates of M’?
A. (5, -4)
A. (4, 3)
L
M
B. (5, 4)
L
M
B. (-2, 4)
C. (-5, 4)
K
N
D. (-5, -4)
C. (4, 2)
K
N
D. (2, 4)
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9. If rectangle KLMN shown below is dilated with
a scale of 1/2 form rectangle K’L’M’N’, what
would the length of K’L’ be?
12. If rectangle KLMN shown below is dilated
with a scale of 1/2 form rectangle K’L’M’N’,
what would be the area of K’L’M’N’?
A. 1
A. 1 sq units
L
M
B. 2
L
M
B. 2 sq units
C. 3
K
N
D. 4
C. 4 sq units
K
N
D. 8 sq units
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10. If rectangle KLMN shown below is rotated
90° cc around the origin to form rectangle
K’L’M’N’, what are apparent coordinates of M’?
13. If trapezoid KLMN shown below is reflected
across the y-axis to form trapezoid K’L’M’N’,
what are apparent coordinates of M’?
A. (2, 4)
A. (-3, 2)
L
M
B. (4, 2)
C. (-2, -4)
B. (-3, -2)
N
K
C. (3, -2)
D. (-4, -2)
D. (3, 2)
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L
K
M
N
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11. If trapezoid KLMN shown below is reflected
across the x-axis to form trapezoid K’L’M’N’,
what are apparent coordinates of M’?
14. If trapezoid KLMN shown below is rotated
180° around the origin form trapezoid K’L’M’N’,
what are apparent coordinates of M’?
A. (-3, 2)
A. (-3, 2)
B. (-3, -2)
B. (-3, -2)
C. (3, -2)
C. (3, -2)
D. (3, 2)
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L
K
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D. (3, 2)
M
N
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L
K
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M
N
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15. If trapezoid KLMN shown below is translated
4 units up form trapezoid K’L’M’N’, what are
apparent coordinates of M’?
18. If rectangle KLMN shown below is reflected
across the y-axis to form rectangle K’L’M’N’,
what are apparent coordinates of M’?
A. (-3, 2)
A. (2, -4)
B. (-3, -2)
B. (2, 4)
C. (3, -2)
C. (-2, 4)
D. (3, 2)
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L
K
L
M
N
K
D. (-2, -4)
M
N
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16. If trapezoid KLMN shown below is translated
6 units to the right form trapezoid K’L’M’N’, what
are apparent coordinates of M’?
19. If rectangle KLMN shown below is translated
3 units down to form rectangle K’L’M’N’, what
are apparent coordinates of M’?
A. (-3, 2)
A. (2, -4)
B. (-3, -2)
B. (-4, 2)
C. (3, -2)
C. (-2, 1)
D. (3, 2)
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L
K
N
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L
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N
D. (-2, -4)
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Question # 31 answers
Transformations
1. A
5. A
9. A
13. C
17. D
M
K
N
K
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B. (2, 4)
C. (-2, 4)
M
D. (1, -2)
M
17. If rectangle KLMN shown below is reflected
across the x-axis to form rectangle K’L’M’N’,
what are apparent coordinates of M’?
A. (2, -4)
L
2. C
6. C
10. D
14. D
18. B
3. B
7. C
11. A
15. A
19. C
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4. B
8. D
12. B
16. C
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