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Look at the following L-shapes drawn on a set of coordinate axes.
Shape A has been translated, or shifted, to land on shape B.
This has been done by moving each point 5 squares to the right and 2 squares up.
When we move to the right, we add to the x-coordinate.
When we move to the left, we subtract from the x-coordinate.
When we move up, we add to the y-coordinate.
When we move down, we subtract from the y-coordinate.
Look at the corner at (-1, -5)
We moved 5 squares to the right, so we add 5 to the x-coordinate to get -1 + 5 = 4
We moved 2 squares up, so we add 2 to the y-coordinate to get -5 + 2 = -3
This gives the corner of the translated point at (4, -3)
Notice that in translations, the shapes are not rotated or reflected.
They stay the same way up, but are just in a different place on the grid.
Example
Look at the triangles on this coordinate grid.
On which triangle does triangle B land when it is translated:
3 squares to the right and 1 square up
Answer
Move each corner of triangle B 3 squares to the right and 1 square up and it will land on triangle C.
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