Problem Description:
The task is to classify triangles based on their sides into three categories:
1.
Equilateral: All three sides are equal.
2.
Isosceles: Two sides are equal.
3.
Scalene: All three sides are different.
Solution Approach:
To solve this problem, we need to analyze each triangle and determine the lengths of its sides. Based on the side lengths, we can classify the triangle as equilateral, isosceles, or scalene.
#### Key Definitions:
-
Equilateral Triangle: All three sides are of equal length.
-
Isosceles Triangle: At least two sides are of equal length.
-
Scalene Triangle: All three sides have different lengths.
#### Step-by-Step Analysis:
We will examine each triangle in the image and classify it accordingly.
---
Classification of Triangles:
#### Row 1:
1.
First Triangle:
- Sides appear to be of different lengths.
-
Classification: Scalene
2.
Second Triangle:
- Two sides appear to be of equal length.
-
Classification: Isosceles
3.
Third Triangle:
- All three sides appear to be of equal length.
-
Classification: Equilateral
#### Row 2:
4.
Fourth Triangle:
- All three sides appear to be of equal length.
-
Classification: Equilateral
5.
Fifth Triangle:
- All three sides appear to be of different lengths.
-
Classification: Scalene
6.
Sixth Triangle:
- All three sides appear to be of equal length.
-
Classification: Equilateral
#### Row 3:
7.
Seventh Triangle:
- All three sides appear to be of different lengths.
-
Classification: Scalene
8.
Eighth Triangle:
- Two sides appear to be of equal length.
-
Classification: Isosceles
9.
Ninth Triangle:
- All three sides appear to be of different lengths.
-
Classification: Scalene
#### Row 4:
10.
Tenth Triangle:
- All three sides appear to be of different lengths.
-
Classification: Scalene
11.
Eleventh Triangle:
- All three sides appear to be of equal length.
-
Classification: Equilateral
12.
Twelfth Triangle:
- Two sides appear to be of equal length.
-
Classification: Isosceles
---
Final Classification:
1. Scalene
2. Isosceles
3. Equilateral
4. Equilateral
5. Scalene
6. Equilateral
7. Scalene
8. Isosceles
9. Scalene
10. Scalene
11. Equilateral
12. Isosceles
---
Final Answer:
\[
\boxed{
\text{Scalene, Isosceles, Equilateral, Equilateral, Scalene, Equilateral, Scalene, Isosceles, Scalene, Scalene, Equilateral, Isosceles}
}
\]
Parent Tip: Review the logic above to help your child master the concept of different types of triangles worksheet.