
Transformations on the Coordinate Plane
Presentation
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
Michele Vitale
Used 71+ times
FREE Resource
22 Slides • 11 Questions
1
Transformations on the Coordinate Plane
2
Transformations
Changing the location, orientation or size of a figure
3
There are four types of transformations:
Translation - Moving (Our focus for today)
Rotation - Turning
Reflection - Flipping
Dilation - Changing size
4
5
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)
6
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)
7
You try some!
3, 2, 1...
8
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
9
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
11
You try some!
3, 2, 1...
12
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)
13
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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Fill in the Blanks
Write a rule to describe each transformation in words
ex) left 1, down 5
Type answer...
16
Fill in the Blanks
Write a rule to describe each transformation in words
ex) left 1, down 5
Type answer...
17
Fill in the Blanks
Write a rule to describe each transformation in words
ex) left 1, down 5
Type answer...
18
Fill in the Blanks
Write a rule to describe each transformation using coordinate notation
ex) left 1, down 5 would be (x - 1, y - 5)
Type answer...
19
Fill in the Blanks
Write a rule to describe each transformation using coordinate notation
ex) left 1, down 5 would be (x - 1, y - 5)
Type answer...
20
Fill in the Blanks
Write a rule to describe each transformation using coordinate notation
ex) left 1, down 5 would be (x - 1, y - 5)
Type answer...
21
Perform the transformations for each problem on your worksheet, click next to check your answers!
22
Answers to Questions 11 & 12
23
Perform the transformations for each problem on your worksheet, click next to check your answers!
24
Answers to Questions 13 & 14
25
Perform the transformations for each problem on your worksheet, click next to check your answers!
26
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!
28
Answers to Questions 17 & 18
29
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
31
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
33
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Transformations on the Coordinate Plane
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