? Reveal the Picture: Translations Worksheet (PDF) | Beyond - Free Printable

Let’s solve this step by step.

We are given a set of shapes on a grid, each labeled with a vector like (2), (-3), etc. These vectors tell us how to move each shape — that’s called “translation.” The goal is to move each shape according to its vector so that all the pieces fit together to reveal a hidden picture.

But wait — looking at the left page, we see small numbers next to some shapes: m=1(7), m=2(2), m=3(4). That suggests these might be clues for matching or ordering. However, the main instruction says: “Translate each of the shapes by the corresponding vector below.”

Actually, looking more carefully — the right page shows the same shapes but already moved! And they form a picture — it looks like a dog or animal made from puzzle pieces. So perhaps the task is to verify or understand how the translation works?

Wait — let’s re-read the original instruction on the left:

> Translate each of the shapes by the corresponding vector below.

And then there are many shapes with vectors written beside them, like:
- A triangle with (2)
- Another with (-3)
- One with (5)
- Etc.

Also, at the bottom, it says:
m=1(7) → maybe meaning “move shape 1 by vector (7)”
m=2(2)
m=3(4)

Hmm — actually, I think the key is that each shape has a number inside it (like 1, 2, 3... up to 18?), and each also has a vector next to it. We need to apply that vector to move the shape.

But since we can’t physically move them here, and the right side already shows the translated result forming a picture, perhaps the question is just to confirm that translating each shape by its vector reveals the picture — which it does.

Alternatively, maybe the student is supposed to do the translations themselves on graph paper? But since we’re solving it now, let’s pick one example to demonstrate.

Let’s take the big irregular shape in the center-left of the left page. It has no number inside, but near it is a label “(2)”. Wait — actually, looking again, most shapes have a number inside a circle or square, and a vector written nearby.

For instance:
- Top left: a gray shape with no number, but nearby is “(2)” — probably means translate by vector (2, ?) — wait, vectors should have two components!

Ah — here’s the issue: in the image, the vectors are written as single numbers like (2), (-3), etc. But in math, a translation vector in 2D should be (x, y). Maybe in this worksheet, they’re using shorthand? Or perhaps it’s only horizontal movement?

Looking at the right page — when you compare positions, for example, the large triangle on the far right of the left page has vector (-10, -10)? No — it says “(-10)” — still one number.

Wait — look at the top right of the left page: a triangle with “(5)” — and on the right page, that same triangle is shifted right and down? Not clear.

Actually, I think there might be a misinterpretation. Let me check the title again: “Translation – Reveal the Picture”

In many such worksheets, each shape has a vector like (a,b) written next to it, and you move the shape a units right/left and b units up/down. Then when all are moved correctly, they form a picture.

But in this image, the vectors are written as single numbers in parentheses — like (2), (-3), etc. That doesn’t make sense for 2D translation unless it’s only x-direction or something.

Wait — look at the bottom of the left page: it says “m=1(7)”, “m=2(2)”, “m=3(4)”. Maybe “m” stands for “move”, and shape number 1 moves by vector (7), shape 2 by (2), etc. But again, (7) is not a 2D vector.

Perhaps the vector is meant to be interpreted as (value, 0) or (0, value)? Unlikely.

Another idea: maybe the number in parentheses is the amount to move in both x and y? Like (2) means move +2 in x and +2 in y? But that would be unusual notation.

Let’s look at the right page — the final assembled picture. For example, the large central shape (the body of the animal) — on the left page, it’s located around column 5, row 10 (approx). On the right page, it’s around column 8, row 7 — so moved right 3, down 3? If vector was (3), that could mean (3,-3) or something.

This is confusing because the notation isn't standard.

Wait — perhaps the vectors are written as column vectors but displayed inline? For example, “(2)” might actually be meant to be \begin{pmatrix} 2 \\ 0 \end{pmatrix} or something. But that doesn’t help.

Let’s try a different approach. Since the right page shows the completed picture after translation, and the left page shows the starting positions with vectors, the correct answer is simply that when you translate each shape by its given vector, they assemble into the picture shown on the right — which appears to be a stylized dog or wolf.

So for the purpose of this homework, the student is expected to perform the translations on their own grid, and the final revealed picture is the one on the right.

Since we can’t draw here, and the question is to “solve the problem”, perhaps the solution is to state that the translations result in the formation of the animal picture.

But let’s verify with one specific shape.

Take the triangle at the very bottom left of the left page. It has “(2)” next to it. Suppose we assume that (2) means move 2 units right and 0 units up. On the left page, its bottom-left corner is at approximately (1,1). After moving right 2, it would be at (3,1). On the right page, is there a triangle at (3,1)? Looking at the right page, the bottom left has a triangle with “(-2)” — not matching.

Alternatively, maybe the vector is applied relative to a reference point.

I think there's a better way: notice that on the left page, some shapes have letters or numbers inside, and vectors outside. Also, at the bottom, it says “m=1(7)”, “m=2(2)”, “m=3(4)”. Perhaps “m=1” refers to the first move, and (7) is the vector for that move, but it's not clear which shape.

Given the ambiguity, and since the right page clearly shows the result of applying all translations, I believe the intended answer is that the hidden picture revealed is a dog (or similar animal).

Moreover, in many such puzzles, the final image is a recognizable object.

So, after translating all shapes by their respective vectors, the revealed picture is a dog.

Final Answer:
The translated shapes form a picture of a dog.