Translation worksheets | PDF - Free Printable

To solve this worksheet, we need to perform translations on each shape. A translation means sliding the shape without turning or flipping it. We move every point of the shape by the same amount in the same direction.

Let’s go one by one.

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a. Translation: 2 unit left and 1 unit right

Wait — this says “2 unit left and 1 unit right”. That doesn’t make sense as a single instruction. Probably it’s a typo. Looking at the context, it might mean “2 units left and 1 unit up” or something else? But let’s read carefully.

Actually, looking again — maybe it’s “2 units left and 1 unit right”? That would cancel out horizontally? That can’t be right.

Wait — perhaps it’s “2 units left and 1 unit up”? But the text says “right”.

Hold on — let me check the original problem again.

The user wrote:
> a. Translation: 2 unit left and 1 unit right

That must be a mistake. Because moving left and right are opposites. If you move 2 left and 1 right, net movement is 1 left.

But that seems odd for a worksheet. Maybe it’s “2 units left and 1 unit up”? Or “2 units left and 1 unit down”?

Looking at the image description (even though I can’t see it), typically these worksheets have clear instructions.

Wait — perhaps it’s “2 units left and 1 unit up”? Let me assume that for now, but actually, let’s think differently.

Maybe it’s a typo and should be “2 units left and 1 unit up” — because otherwise, if it’s “left and right”, it’s confusing.

Alternatively, perhaps it’s “2 units left and 1 unit right” meaning total horizontal shift? But that would be 1 unit left.

I think there might be an error in the problem statement. But since I have to solve it, I’ll interpret it as:

“Translate 2 units left and 1 unit right” → net 1 unit left.

But that seems unlikely. Let me look at the other problems.

b. Translation: 3 units up and 6 units left → clear.

c. Translation: 8 unit right and 2 units down → clear.

d. Translation: 7 units up → clear.

So for a, it says “2 unit left and 1 unit right” — probably a typo. Most likely, it should be “2 units left and 1 unit up” or “2 units left and 1 unit down”.

But to be safe, let’s calculate based on what’s written.

If we translate 2 units left and 1 unit right, that’s equivalent to translating 1 unit left (since -2 + 1 = -1).

So net translation: 1 unit left.

But let’s confirm with coordinates.

Assume the house shape has points. Let’s pick key points.

For example, the bottom-left corner of the house base might be at (2,1), bottom-right at (4,1), top of roof at (3,4), etc.

After translating 1 unit left: subtract 1 from x-coordinate.

So (2,1) → (1,1), (4,1) → (3,1), (3,4) → (2,4), etc.

But I think the intended instruction was probably “2 units left and 1 unit up” — because “right” might be a typo for “up”.

In many worksheets, they say “left/right” and “up/down”.

Perhaps it’s “2 units left and 1 unit up”.

I recall that in some versions, it’s “2 units left and 1 unit up”.

To resolve this, let’s assume it’s a typo and it should be “2 units left and 1 unit up”, as that makes more sense.

Otherwise, if it’s truly “left and right”, it’s 1 unit left, but that seems too trivial.

Given that, I’ll proceed with “2 units left and 1 unit up” for part a.

But let’s double-check the user input.

User said: "a. Translation: 2 unit left and 1 unit right"

It says "right", not "up".

Perhaps it's "2 units left and 1 unit right" meaning the vector is (-2,0) + (1,0) = (-1,0), so 1 unit left.

I think I have to go with that.

So for a: translate 1 unit left.

Similarly, for others.

Let me define the shapes.

Since I don't have the image, I'll assume standard positions based on typical worksheets.

For a: the house. Let's say the base is from x=2 to x=4, y=1 to y=2, and roof from (2,2) to (4,2) to (3,4).

Points: A(2,1), B(4,1), C(4,2), D(2,2), E(3,4)

Translate 2 units left and 1 unit right: net 1 unit left.

So new points: A'(1,1), B'(3,1), C'(3,2), D'(1,2), E'(2,4)

But if it's 2 left and 1 up, then A'(0,2), etc.

I think there's ambiguity.

Perhaps "2 unit left and 1 unit right" is a mistake, and it's "2 units left and 1 unit up".

In many online sources, for similar worksheets, it's "2 units left and 1 unit up".

To be accurate, I'll use the given text.

So for a: translation of 2 units left and 1 unit right means:

-2 in x, +1 in x, so net -1 in x, 0 in y.

So shift left by 1 unit.

For b: 3 units up and 6 units left: so x -6, y +3

For c: 8 unit right and 2 units down: x +8, y -2

For d: 7 units up: x unchanged, y +7

Now, to provide the final answer, since the question is to translate the figures, and no specific output is asked, probably the answer is the new coordinates or the description.

But the user didn't specify what to output. In such cases, for translation worksheets, the answer is often the new position described or plotted.

Since this is text-based, I'll describe the new positions.

But for the final answer, perhaps list the translations applied.

The problem is to solve the task, which is to perform the translations.

Since the user said "solve the problem accurately", and it's a worksheet, likely they want the result of the translations.

But without coordinates, it's hard.

Perhaps for each part, state the net translation vector.

Let me do that.

For a: 2 units left and 1 unit right → net 1 unit left → vector (-1, 0)

For b: 3 units up and 6 units left → vector (-6, 3)

For c: 8 units right and 2 units down → vector (8, -2)

For d: 7 units up → vector (0, 7)

And for each, the shape is moved by that vector.

So the final answer could be the net translation for each.

Since the worksheet asks to "translate the following figures", and in practice, students plot them, but here, we can state the movement.

I think for the purpose of this response, I'll provide the net translation for each part.

So:

a. Net translation: 1 unit left

b. Net translation: 6 units left and 3 units up

c. Net translation: 8 units right and 2 units down

d. Net translation: 7 units up

But for a, if it's really "2 left and 1 right", it's 1 left.

To confirm, let's assume that's correct.

Perhaps "2 unit left and 1 unit right" is meant to be two separate instructions, but that doesn't make sense.

I think I have to go with the calculation.

So for the final answer, I'll box the net translations.

But the user might expect the plotted shapes, but since it's text, describing the movement is fine.

Another way: perhaps the answer is the new coordinates of key points, but without initial coordinates, it's impossible.

So I think stating the translation vector is sufficient.

Let me write it clearly.

Final Answer:

a. Translate 1 unit left (net effect of 2 left and 1 right)

b. Translate 6 units left and 3 units up

c. Translate 8 units right and 2 units down

d. Translate 7 units up

For a, to be precise, since it says "2 unit left and 1 unit right", the net is 1 unit left.

Yes.

So I'll go with that.