
Transformations on the Coordinate Plane
Presentation
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
Michele Vitale
Used 70+ times
FREE Resource
22 Slides • 11 Questions
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Transformations on the Coordinate Plane
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Transformations
Changing the location, orientation or size of a figure
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There are four types of transformations:
Translation - Moving (Our focus for today)
Rotation - Turning
Reflection - Flipping
Dilation - Changing size
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Notations of Translations
The three ways you can see it written for a problem:
Words: One to the left, 3 up
Coordinates: (x, y) -> (x - 1, y + 3)
Subscript Notation: T(-1,3)
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How to figure out the translation rule:
Locate the original point (A)
Locate the new point (A')
Count the horizontal change (+5)
Count the vertical change (-3)
5 right, 3 down
(x, y) -> (x + 5, y - 3)
T(5, 3)
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You try some!
3, 2, 1...
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Multiple Choice
Click on the image to make it larger. Then determine the transformation that has occurred on this graph.
A) translation: 2 units left and 5 units down
B) translation: 1 unit left
C) translation: 4 units down
D) translation: 4 units left and 1 unit down
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Multiple Choice
Click on the image to make it larger. Then determine the transformation that has occurred on this graph.
A) translation: 7 units left and 6 units up
B) translation: 4 units left and 7 units up
C) translation: 1 unit left and 8 units up
D) translation: 7 units left and 3 units up
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Finding the new point after a translation:
Graphically:
Follow the rule on the graph and read the new coordinate values
Algebraically:
Right add to x, left subtract from x
Up add to y, down subtract from y
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You try some!
3, 2, 1...
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Multiple Choice
Click on the image to make it larger. Then determine the new coordinates of this image under the transformation stated.
A) D'(−2, 1), E'(0, 2), F'(2, −2)
B) D'(−1, 4), E'(1, 5), F'(3, 1)
C) D'(−3, 1), E'(−1, 2), F'(1, −2)
D) D'(−5, 4), E'(−3, 5), F'(−1, 1)
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Multiple Choice
Click on the image to make it larger. Then determine the new coordinates of this image under the transformation stated.
A) F'(−4, 1), G'(−4, 2), H' (1, 1), I'(−1, −2)
B) F'(−5, 1), G'(−5, 2 ), H'(0, 1), I'(−2, −2)
C) F'(0, 4), G'(0, 5), H'(5, 4), I'(3, 1)
D) F'(−3, 4), G'(−3, 5), H'(2, 4), I'(0, 1)
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Independent Practice Time!
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Perform the transformations for each problem on your worksheet, click next to check your answers!
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Answers to Questions 11 & 12
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Perform the transformations for each problem on your worksheet, click next to check your answers!
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Answers to Questions 13 & 14
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Perform the transformations for each problem on your worksheet, click next to check your answers!
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Answers to Questions 15 & 16
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Perform the transformations for each problem on your worksheet and record the coordinates of your new points.
Click next to check your answers!
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Answers to Questions 17 & 18
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Perform the transformations for each problem on your worksheet and record the coordinates of your new points.
Click next to check your answers!
30
Answers to Questions 19 & 20
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Perform the transformations for each problem on your worksheet and record the coordinates of your new points.
Click next to check your answers!
32
Answers to Questions 21 & 22
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Transformations on the Coordinate Plane
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