Tangram puzzle with colorful geometric shapes forming animals and objects.

To solve this problem, we need to understand how a Tangram works.

Step 1: Understand the Tangram Pieces

A standard Tangram set consists of 7 specific geometric shapes (called "tans") that are cut from a square. These pieces are:
1. Two large triangles (usually the biggest pieces).
2. One medium triangle.
3. Two small triangles.
4. One square.
5. One parallelogram.

In the image provided on the right, you can see these exact 7 pieces forming a perfect square. The colors help distinguish them:
- Red and Orange are the two large triangles.
- Green is the medium triangle.
- Purple and Dark Blue are the two small triangles.
- Light Blue is the parallelogram.
- Yellow is the square.

*(Note: In some puzzles, the colors might vary or be reused, but the shapes and sizes must always match the standard 7 tans.)*

Step 2: Analyze the Goal

The grid on the left shows various figures made out of colored shapes. The task in Tangram puzzles is usually to identify which figures are valid Tangrams. A valid Tangram figure must:
1. Use all 7 pieces.
2. Use only the 7 standard Tangram shapes (no extra pieces, no different shapes).
3. The pieces must fit together without overlapping (except at edges/corners).

However, looking closely at the grid, it seems to be a collection of examples showing how the 7 pieces can form different silhouettes (like animals, people, objects). Each cell in the grid contains a figure made from the 7 tangram pieces.

Let's look at the structure of the question. Usually, in such worksheets, there is a specific question like:
- "Which of these is NOT a valid tangram?"
- "Count how many triangles are used in figure X."
- "Identify the shape formed by the red and orange pieces."

Since no specific question text was provided in the prompt, but the user uploaded an image with a clear title "Tangram" and a reference diagram, the most common educational task associated with this specific layout is to identify the components or verify if the figures are made correctly.

Let's re-examine the prompt constraints. The user wants me to "Solve the problem accurately." But there is no explicit question mark or instruction like "Find the odd one out."

Wait, let's look at the grid again. It is a 4x6 grid of images.
- Row 1: Bird-like shape, Dog/Animal, Arrow/Person?
- Row 2: Person running, Cat/Fox, Fish?
- Row 3: Number '2' or Swan?, Camel/Dog, Fish?
- Row 4: Person kneeling, Horse/Camel, Arrow/Fish?

Actually, looking at the very last column on the right, there is a single large square labeled "Tangram" showing the decomposition. This is the key or legend.

Often, these problems ask: "How many pieces make up the Tangram?" or "What is the total number of triangles in a standard Tangram set?"

Let's count the triangles in the reference square on the right:
1. Red Large Triangle
2. Orange Large Triangle
3. Green Medium Triangle
4. Purple Small Triangle
5. Dark Blue Small Triangle

That is 5 triangles.

Let's count the other shapes:
6. Yellow Square
7. Light Blue Parallelogram

Total pieces = 7.

Another common question is: "Which two pieces are identical?"
Answer: The two large triangles (Red and Orange) are identical. The two small triangles (Purple and Dark Blue) are identical.

Let's look for a hidden question. Is there a missing piece? No.
Is there a pattern? No.

Let's assume the most fundamental question about Tangrams for students:
"How many pieces are in a Tangram set?"

Or perhaps:
"Name the shapes found in a Tangram set."

Given the ambiguity of "Solve the problem" without a specific question text, I will provide the most definitive factual answer derived from the visual data, which is the composition of the Tangram itself, as illustrated by the reference image.

However, sometimes these grids are "Find the mistake" puzzles. Let's check if any figure in the grid uses wrong pieces.
- Top-left bird: Uses 7 pieces. Looks valid.
- Top-middle dog: Uses 7 pieces. Looks valid.
- ... checking random ones ...
- Bottom-right red arrow/fish: Uses 7 pieces.

It is highly likely the question is simply asking for the number of pieces or the names of the shapes.

Let's consider another possibility. Is this a "Match the shadow" puzzle? No shadows are provided.

Let's go with the most standard educational objective for this diagram: Identifying the 7 tans.

If I must provide a single "Final Answer," it is usually a number or a short phrase.
Common questions:
1. How many triangles? -> 5
2. How many pieces total? -> 7
3. What shape is the yellow piece? -> Square

Let's look at the generated output requirements. "Solve the problem accurately."

If this is from a specific online platform or textbook, the "problem" might be implicit. For example, "Click on the square." or "How many small triangles are there?"

Without the specific question, the safest and most helpful "solution" is to define the Tangram set based on the image.

Hypothesis: The student needs to know the basic properties shown in the reference image.
The reference image shows a square divided into 7 parts.
The parts are:
- 2 Large Triangles
- 1 Medium Triangle
- 2 Small Triangles
- 1 Square
- 1 Parallelogram

If I have to guess the *most likely* intended question for a general "Tangram" image upload without text, it is: "How many pieces are in a Tangram?"

Answer: 7.

Let's double-check if there's any text I missed. "Tangram" is the title. The grid shows variations. The right side shows the source square.

Let's try to interpret "Solve the problem" as "Explain what is shown." But the format requires a "Final Answer".

Let's look at the grid again. Are all figures valid?
Yes, they all appear to be standard tangram puzzles using the 7 pieces.

Is there a counting task?
Maybe "How many triangles are in the large square?"
We counted 5.

Maybe "What is the area of the small triangle relative to the large square?"
If the big square is area 1, the large triangles are 1/4 each. The medium is 1/8. The small ones are 1/16 each. The square is 1/8. The parallelogram is 1/8.

Let's assume the question is: "How many geometric shapes (pieces) make up a standard Tangram?"

This is the most fundamental fact presented by the image.

Step-by-step derivation:
1. Observe the reference image labeled "Tangram" on the right.
2. Count the individual colored sections inside the large square.
3. There is a red section (triangle).
4. There is an orange section (triangle).
5. There is a green section (triangle).
6. There is a purple section (triangle).
7. There is a dark blue section (triangle).
8. There is a yellow section (square).
9. There is a light blue section (parallelogram).
10. Total count = 7.

Therefore, a Tangram consists of 7 pieces.

Final Answer: 7