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.
- Two angles are equal.

4. Obtuse-angled triangle:
- One angle is greater than 90° (obtuse).

5. Acute-angled triangle:
- All three angles are less than 90° (all acute).

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🔍 Step 2: Analyze Each Triangle

Let’s go one by one from top to bottom.

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#### ✔ Triangle 1 (Top)
- It has two sides marked with a single tick mark (indicating equal sides).
- So, two sides are equal → This is an isosceles triangle.
- No right angle or obtuse angle visible.
- So, match to: Isosceles triangle

> ✘ Not equilateral (only two sides marked as equal), not right or obtuse.

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#### ✔ Triangle 2 (Second)
- All sides appear different in length (no markings).
- All angles look less than 90° (acute).
- No right angle or obvious obtuse angle.
- This is likely an acute-angled triangle.
- Since no sides are marked equal, it's scalene (but that's not listed — so we use angle-based classification).
- So, this is an Acute-angled triangle

> Note: "Acute-angled" refers to angles, not sides.

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#### ✔ Triangle 3 (Third)
- Has a small square at one corner, which means it has a 90° angle.
- So, this is a right-angled triangle.

> Match to: Right-angled triangle

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#### ✔ Triangle 4 (Fourth)
- One angle looks wider than 90° (obtuse).
- The shape is stretched out, with one large 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 — each side has a tick.
- That means all three sides are equal → Equilateral triangle
- And all angles are 60°, so also acute, but the defining feature here is equal sides.

> Match to: Equilateral triangle

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✔ Final Matching

Let’s list them clearly:

| Shape | Name |
|-------|------|
| 1. Top triangle (two equal sides) | Isosceles triangle |
| 2. Second triangle (all angles acute) | Acute-angled triangle |
| 3. Third triangle (right angle) | Right-angled triangle |
| 4. Fourth triangle (one obtuse angle) | Obtuse-angled triangle |
| 5. Bottom triangle (all sides equal) | Equilateral triangle |

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🧩 Answer Key (Matching)

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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✔ Final Answer:

- Top triangle (two equal sides) → Isosceles triangle
- Second triangle (no marks, sharp angles) → Acute-angled triangle
- Third triangle (right angle) → Right-angled triangle
- Fourth triangle (wide angle) → Obtuse-angled triangle
- Bottom triangle (three equal sides) → Equilateral triangle

This completes the matching!