Translations: find the coordinates

A translation slides a figure to a different location.

Learn with an example

The point E(2, 2) is translated 3 units left. What are the coordinates of the resulting point, E′?

Start with the point E(2, 2).

Move the point left 3 units. Subtract 3 from the x-coordinate to get (5, 2).

E′ has coordinates (5, 2).

The point F(6, 0) is translated 7 units left. What are the coordinates of the resulting point, F′?

F’ = (_____ , _____)

Start with the point F(6, 0).

Move the point left 7 units. Subtract 7 from the x-coordinate to get (1, 0).

F′ has coordinates (1, 0).

The point K(3, 4) is translated 2 units right. What are the coordinates of the resulting point, K′?

k’ = (_____ , _____)

Start with the point K(3, 4).

Move the point right 2 units. Add 2 to the x-coordinate to get (1, 4).

K′ has coordinates (1, 4).

let’s practice!