Match each triangle shape to its correct name in this educational worksheet.

Let's solve the problem step by step.

We are given five triangles on the left and five names of triangle types on the right. We need to match each triangle to its correct name, based on its properties.

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🔹 Step 1: Understand the Types of Triangles

Here’s a quick review of the triangle types:

1. Equilateral triangle:
- All three sides are equal.
- All three angles are 60° (acute).

2. Right-angled triangle:
- One angle is exactly 90° (a right angle).
- The side opposite the right angle is the hypotenuse.

3. Isosceles triangle:
- Two sides are equal in length.
- The angles opposite the equal sides are also equal.

4. Obtuse-angled triangle:
- One angle is greater than 90° (obtuse).
- The other two angles are acute.

5. Acute-angled triangle:
- All three angles are less than 90°.

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🔹 Step 2: Analyze Each Triangle

#### ✔ Triangle 1 (Top one)
- Has two sides marked with a single tick mark (indicating equal sides).
- So, two sides are equal → This is an isosceles triangle.
- But wait — let's check all others carefully.

Wait! Let's go in order.

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#### 🔹 Triangle 1 (Top):
- Two sides have one tick mark each → indicates two equal sides.
- So this is an isosceles triangle.

But look at the last triangle (bottom one):

#### 🔹 Triangle 5 (Bottom):
- All three sides have tick marks:
- Two sides have one tick, and the third has one tick too? Wait — actually, it looks like:
- Top two sides: one tick each
- Bottom side: one tick too → so all three sides have a tick?
- But in standard notation, if all three sides have the same mark, that means all sides are equal → equilateral.

But wait — actually, in the bottom triangle:
- It has three sides, each marked with a tick (or small line) — but they are not all the same type?
- Actually, looking closely:
- The top two sides have one tick each
- The base has one tick too — so all three sides have a tick → likely indicating all sides equal → equilateral

But hold on — if all sides are equal, then it must be equilateral.

So let’s re-express:

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🔎 Careful Analysis of Each Triangle:

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#### 🟦 Triangle 1 (Top)
- Two sides marked with one tick each → two equal sides → isosceles triangle

→ Match to: Isosceles triangle

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#### 🟦 Triangle 2 (Second from top)
- No markings on sides
- Looks like all sides different lengths
- Also, all angles appear less than 90° → no right angle, no obtuse angle
- So all angles are acute → acute-angled triangle

→ Match to: Acute-angled triangle

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#### 🟦 Triangle 3 (Third from top)
- Has a small square at one corner → this symbolizes a right angle (90°)
- So this is a right-angled triangle

→ Match to: Right-angled triangle

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#### 🟦 Triangle 4 (Fourth from top)
- Looks like one angle is greater than 90° → obtuse angle
- So this is an obtuse-angled triangle

→ Match to: Obtuse-angled triangle

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#### 🟦 Triangle 5 (Bottom)
- All three sides have tick marks — but each side has a tick, and they're all the same kind?
- In standard notation, if all three sides have the same marking (e.g., one tick each), it means all sides are equal
- So this is an equilateral triangle

→ Match to: Equilateral triangle

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✔ Final Matching:

| Triangle | Name |
|--------|------|
| 1 (Top) | Isosceles triangle |
| 2 (Second) | Acute-angled triangle |
| 3 (Third) | Right-angled triangle |
| 4 (Fourth) | Obtuse-angled triangle |
| 5 (Bottom) | Equilateral triangle |

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✔ Answer:

Match as follows:

1. First triangle → Isosceles triangle
2. Second triangle → Acute-angled triangle
3. Third triangle → Right-angled triangle
4. Fourth triangle → Obtuse-angled triangle
5. Fifth triangle → Equilateral triangle

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🔍 Summary of Reasoning:

- Tick marks indicate equal sides.
- Square corner = right angle.
- One large angle = obtuse angle.
- All angles small = acute triangle.
- All sides equal = equilateral.

✔ All matches are unique and correct.

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Let me know if you'd like a visual explanation or diagram!