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.
---
🔹 Step 1: Understand the Types of Triangles
Here’s a quick review of the five triangle types:
1.
Equilateral triangle
- All three sides are equal in length.
- 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° (all acute).
---
🔹 Step 2: Analyze Each Triangle
Let’s go through each triangle from top to bottom:
---
#### 🔸
Triangle 1 (Top)
- It has
two sides marked with a single tick mark (indicating they are equal).
- So,
two sides are equal → This is an
isosceles triangle.
- No right angle or obtuse angle visible.
✔ Match:
Isosceles triangle
---
#### 🔸
Triangle 2 (Second from top)
- No tick marks → all sides appear different.
- All angles look
less than 90° → no right or obtuse angle.
- Since all angles are acute →
acute-angled triangle.
✔ Match:
Acute-angled triangle
---
#### 🔸
Triangle 3 (Third from top)
- Has a
square symbol at one corner → this indicates a
right angle (90°).
- So, it's a
right-angled triangle.
✔ Match:
Right-angled triangle
---
#### 🔸
Triangle 4 (Fourth from top)
- One angle looks
wider than 90° → that’s an
obtuse angle.
- So, this is an
obtuse-angled triangle.
✔ Match:
Obtuse-angled triangle
---
#### 🔸
Triangle 5 (Bottom)
- All three sides have
tick marks: two sides have one tick, and the third side has a tick too — actually,
all three sides have a tick mark.
- Wait — let’s look closely:
- The
top side has one tick.
- The
left side has one tick.
- The
right side has one tick.
- But in standard notation, if
all three sides have
the same marking, that means
all sides are equal.
→ So, this is an
equilateral triangle.
✔ Match:
Equilateral triangle
---
✔ Final Matching:
| Shape | Name |
|------|------|
| 1 (top) – two equal sides |
Isosceles triangle |
| 2 – no markings, all angles acute |
Acute-angled triangle |
| 3 – right angle marked |
Right-angled triangle |
| 4 – one angle > 90° |
Obtuse-angled triangle |
| 5 (bottom) – all sides equal |
Equilateral triangle |
---
🟩 Answer Key (Matching):
1. → Isosceles triangle
2. → Acute-angled triangle
3. → Right-angled triangle
4. → Obtuse-angled triangle
5. → Equilateral triangle
---
✔ Final Answer:
- Top triangle:
Isosceles triangle
- Second:
Acute-angled triangle
- Third:
Right-angled triangle
- Fourth:
Obtuse-angled triangle
- Bottom:
Equilateral triangle
This completes the matching!
Parent Tip: Review the logic above to help your child master the concept of different types of triangles worksheet.
