Translation Worksheets | Grade1to6.com - Free Printable

Let’s solve each translation problem step by step.

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Problem 1: Translations: 4 right.

We start with a triangle in the bottom-left quadrant.

Looking at the grid, the triangle’s vertices are approximately at:
- (-5, -4)
- (-3, -4)
- (-4, -3)

To translate “4 right”, we add 4 to the x-coordinate of each point.

New points:
- (-5 + 4, -4) = (-1, -4)
- (-3 + 4, -4) = (1, -4)
- (-4 + 4, -3) = (0, -3)

So the new triangle should be drawn with these new coordinates.

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Problem 2: Translations: 3 right and 2 down.

We start with a square in the top-left quadrant.

Its corners are at:
- (-4, 4)
- (-3, 4)
- (-3, 3)
- (-4, 3)

Translate 3 right → add 3 to x
Translate 2 down → subtract 2 from y

New points:
- (-4+3, 4-2) = (-1, 2)
- (-3+3, 4-2) = (0, 2)
- (-3+3, 3-2) = (0, 1)
- (-4+3, 3-2) = (-1, 1)

Draw the square using these new points.

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Problem 3: Translations: 3 left.

We start with a hexagon on the right side.

Its center is around (4, 2.5), but let’s pick key vertices. For simplicity, assume it spans from x=3 to x=5, y=1 to y=4.

Actually, looking closely, the hexagon has vertices roughly at:
- (3, 2)
- (4, 1)
- (5, 2)
- (5, 3)
- (4, 4)
- (3, 3)

Translate 3 left → subtract 3 from x

New points:
- (3-3, 2) = (0, 2)
- (4-3, 1) = (1, 1)
- (5-3, 2) = (2, 2)
- (5-3, 3) = (2, 3)
- (4-3, 4) = (1, 4)
- (3-3, 3) = (0, 3)

Draw the hexagon using these new points.

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Problem 4: Translations: 4 right and 3 down.

We start with an L-shaped figure in the top-left.

Its corners include:
- (-5, 3)
- (-4, 3)
- (-4, 2)
- (-3, 2)
- (-3, 4)
- (-4, 4)
- (-5, 4)

Wait — actually, looking again, the shape covers:

From x=-5 to x=-3, y=2 to y=4, but missing part? Let’s list all filled squares:

It looks like:
- Square at (-5,3), (-5,4)
- Square at (-4,3), (-4,4)
- Square at (-3,4)

Actually, better to think of the entire shape as made of unit squares.

But for translation, we can move every point 4 right and 3 down.

Take one corner, say (-5, 4):

New position: (-5+4, 4-3) = (-1, 1)

Another: (-3, 4) → (1, 1)

And (-5, 2) → (-1, -1)

So the whole shape moves so that its top-left corner goes from (-5,4) to (-1,1), and bottom-right from (-3,2) to (1,-1).

Draw the same L-shape shifted to this new location.

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All translations are done by adding/subtracting from x and y coordinates as instructed.

Final Answer:
The shapes are moved according to the given directions:
- Triangle: 4 units right
- Square: 3 units right and 2 units down
- Hexagon: 3 units left
- L-shape: 4 units right and 3 units down

Each shape keeps its original size and orientation — only its position changes.