Translations in the Coordinate Plane

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Translations in the Coordinate Plane
2
TranSLation of a geometric figure is a SLide of
the figure in which all points move the same
distance in the same direction.
3
Horizontal- left and right
4
Vertical- up and down
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Jog your memory

• In a coordinate plane, x comes first, then y. X
  is the horizontal and y is the vertical. Written
  together, they are coordinate pairs and are
  written as (x, y)

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Translate the figure horizontally 5
5
4
3
2
1
-5 -4 -3 -2 -1 -1 1 2 3 4 5
-2
-3
-4
-5
B
B
A
C
C
A
7
Translate the figure 4 units vertically.
5
4
3
2
1
-5 -4 -3 -2 -1 -1 1 2 3 4 5
-2
-3
-4
-5
B
A
D
C
A
B
C
D
8
A
5
4
3
2
1
-5 -4 -3 -2 -1 -1 1 2 3 4 5
-2
-3
-4
-5
Translate the figure 6 units vertically.
B
C
A
B
C
9
5
4
3
2
1
-5 -4 -3 -2 -1 -1 1 2 3 4 5
-2
-3
-4
-5
A
A
B
B
D
C
D
C
Translate the figure 4 units horizontally.
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Writing rules

• A rule is written to show what happens to both
  the x coordinate and the y coordinate. If you
  are to translate a figure 4 units horizontally
  the rule is (x,y) (x 4, y 0) because
  horizontal motions use the X axis.
• If you are to translate a figure -2 units
  horizontally, the rule is
• (x,y) (x 4, y 0)

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Another example

• If you are to translate a figure 3 to the left
  and 2 up, the rule is (x,y) (x-3, y2)
• Talk with your shoulder partners about why this
  works.