unit 5 transformations in the coordinate plane
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Unit 5 Transformations in the Coordinate Plane. Translations. Reflections. Rotations. Question 1. The top shape (pre image) has been translated to the bottom shape (image). Which rule represents the translation? a) c ) b)d). Question 2. If the result of - PowerPoint PPT PresentationTRANSCRIPT
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Unit 5Transformations
in theCoordinate Plane
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Translations
x,y x 5,y 5
x,y x 5,y 5
right 5, down 5
left 5, up 5
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Reflections
x,y x, y
x,y x,y
over x axis
over y axis
x,y y,x
over y x
x,y y, x
over y x
over y #or x # count
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Rotations
x,y y, x 90 CW 270 CCW x,y y,x 90 CCW270 CW
x,y x, y 180 CW 180 CCW
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Question 1
The top shape (pre image) has been translated to the bottom shape (image). Which rule represents
the translation?
a) c)
b) d)
1 1x ,y x,y 6 1 1x ,y x 6,y
1 1x ,y x 4,y 4 1 1x ,y x 6,y 6
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Question 2If the result of (x, y)→(x – 4, y + 3) is A’(-2, 8), what is the pre-image, or A?
A 2,5
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Question 3If A(4, -9) is translated using the rule, (x, y)→(x+5, y-7) what is the image, or A’?
A' 9, 16
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Question 4
Which best describes the transformation that occurs in the graph?
a) c)
b) d)
dilation rotation
reflection translation
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Question 5A triangle in the coordinate place has coordinates of (2, 3), (-4, -5), and (-2, 4). It is reflected about the x-axis. What are the new coordinates?
2, 3 , 4,5 , and 2, 4
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Question 6
The figure on the left has been transformed to the figure on the right. Which transformation does this
show?
a) c)
b) d)
1 1x ,y y,x 1 1x ,y x,y
1 1x ,y x, y 1 1x ,y x, y
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Question 7Reflect the figure across x=1. What is the image of T?
T' 6,4
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Question 8
The figure is transformed as shown in the diagram. Describe the transformation
a) c)
b) d)
dilation, then reflection
rotation, then reflection
reflection, then rotation
translation, then reflection
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Question 9Rotate the point K(5,-6) 270 Clockwise about the origin. what is the image, or K’?
K' 6,5
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Question 10If C(9,4) is reflected over the y-axis, then reflected over the
line y=-x. What is the final image, or C”?
C " 4,9
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Question 11If B(2,6) is translated using the
rule (x, y)→(x +7, y -4), and then rotated 180 about the
origin. What is the final image, or B”?
B" 9, 2
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Question 12
A reflection of triangle abc to triangle a’b’c’ is shown. Which rule represents this reflection?
a) c)
b) d)
x,y y,x
x,y x, y
x,y x,y
x,y x, y
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Question 13
Which transformation will be equivalent to rotating a figure 180
counterclockwise?
a) c)
b) d)
reflecting over y x
reflecting over y x
reflecting over x axis
and the y axis
translating left 3 units
and down 5 units
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Question 14
Describe the transformation
a) c)
b) d)
reflection across x axis
reflection across y axis
reflection across y x
reflection across y x
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Answers to MC Practice
Front1. B2. C3. D4. C5. C
Back6. A7. D8. B9. B