TransformationsSliding a point
Name: Date:
Move each point as described. Write where it lands.
11 left and 5 up ()
24 left and 4 down ()
35 right and 1 up ()
42 down ()
55 right and 2 down ()
64 left and 3 down ()
Translations worksheets
A translation slides a point without turning or flipping it, so both coordinates change on their own and nothing else does. These free printable worksheets draw the starting point on a grid and ask where it ends up.
Kid stuck on one? You don’t just get the sheet.
Translations
The answer key prints on a separate page.
What's on this sheet
Across changes x and up changes y, separately and independently. That is genuinely all of it, and it makes translation the right place to start with transformations: a child can get every question right by counting squares, and while they are counting they are building the habit of reading a coordinate pair as two separate instructions.
Why this sheet works
The signs are what turn it from counting into arithmetic. Left is a negative move in x and down is a negative move in y, so a point at (2, 5) moved three left and four down lands at (−1, 1). Counting on the grid and calculating should agree, and doing both is how a child learns to trust the calculation.
How this one works
One question from this sheet, worked through a step at a time.
(1, −5) 1 left and 5 up
(1, −5)
across=0
up=0
(1, −5)→(0, 0)
- Start where the point is: (1, −5). The move is 1 left and 5 up, and the question is only where those two numbers end up.
- Sliding changes each coordinate on its own. Across, it moves 1 left: 1 − 1 = 0. Up, it moves 5 up: −5 + 5 = 0.
- So it lands on (0, 0).