Translations Practice Set

one right and six down

(x, y) --> (x + 1, y - 6) means

three right and eight up

(x, y) --> (x + 3, y + 8) means

one left and six down

(x, y) --> (x - 1, y - 6) means

four left and two up

(x, y) --> (x - 4, y + 2) means

6 units horizontal

6 right

-7 units horizontal, -3 units vertical

7 left, 3 down

The figure after the transformation

Image

(-3, -2)

Point K is located at (-5, 3) and translated to the right 2 and down 5. Where is K'?

(5, 1)

Point M is located at (2, 4) and is translated by the rule (x + 3, y - 3). Where is M' located?

The original figure

Pre-Image

The way we label the new points

Prime

Slides a figure to a different location

Translation

(x, y) --> (x + a, y + b)

Translation Rule

(-5, 3)

Triangle ABC is located at A (3, 1), B (6, -3), C (-2, -1). Triangle ABC is translated by using the rule (x - 3, y + 4). Where is C' located at?

(-3, -7)

Triangle QRS is located at Q (-7, -3), R (1,1) S(0, -7). It is translated to the left 4 and down 6. Where is R' ?

(x, y) -> (x + 4, y - 1)

Write a rule for a translation that moves 1 unit down and 4 units to the right.

(x, y) -> (x + 1, y - 1)

Write a rule for a translation that moves 1 unit to the right and 1 unit down.

(x, y) -> (x - 3, y - 5)

Write a rule for a translation that moves 3 units to the left and down 5 units.

(x, y) -> (x - 5, y + 3)

Write a rule for a translation that moves 3 units up and 5 units to the left.

(x, y) -> (x + 7, y + 3)

Write a rule for a translation that moves 3 units up and 7 units to the right.

(x, y) -> (x + 6, y + 4)

Write a rule for a translation that moves 4 units up and 6 units to the right.

(x, y) -> (x + 3, y - 5)

Write a rule for a translation that moves 5 units down and 3 units to the right.

(x, y) -> (x + 5, y - 2)

Write a rule for a translation that moves 5 units to the right and 2 units down.

(x, y) -> (x - 6, y + 4)

Write a rule for a translation that moves 6 units to the left and 4 units up.

(x, y) -> (x - 4, y + 6)

Write a rule for a translation that moves 6 units up and 4 units to the left.

(x, y) -> (x - 3, y - 7)

Write a rule for a translation that moves 7 units down and 3 units to the left.

(x, y) -> (x + 3, y - 7)

Write a rule for a translation that moves 7 units down and 3 units to the right.

(x, y) -> (x - 1, y - 4)

Write a rule for the given image.

(x, y) -> (x - 7, y -3)

Write a rule for the given transformation.

-4 units horizontal, 2 units vertical

four left and two up

-4 units horizontal, -2 units vertical

four left, 2 down

4 units horizontal, -2 units vertical

four right, two down

4 units horizontal, 2 units vertical

four right, two up

-1 unit horizontal, -6 units vertical

one left and six down

1 unit horizontal, -6 units vertical

one right and six down