2.8 Choose the best answer for each of the following. Type only the number and letter to the answer in the answer block, e.g., 3.1.5 D [6]

2.8.1 If a triangle is enlarged by factor 3, the area of the enlarged triangle will be … times bigger than the original triangle. (2)

A. 1

B. 3

C. 6

D. 9

2.8.2 If a square is enlarged by factor 2, the area of the enlarged square will be …… times bigger than the original square. (2)

A. 1

B. 2

C. 4

D. 8

E. 16

2.8.1 D  
2.8.2 C  

Would you like further details or explanations on these solutions?

Here are 5 related questions to explore the topic further:

1. What happens to the perimeter of a triangle when it is enlarged by a factor of 3?
2. How is the volume of a 3D shape affected by an enlargement factor?
3. If a rectangle is enlarged by a factor of 4, what happens to its area?
4. How do you calculate the area of a triangle if you know its base and height?
5. What is the relationship between the side lengths of a polygon and its area during scaling?

**Tip:** When scaling a 2D shape by a factor \( k \), the area scales by \( k^2 \).

2.8.1 If a triangle is enlarged by factor 3, the area of the enlarged triangle will be … times bigger than the original triangle. (2)
A. 1
B. 3
C. 6
D. 9

2.8.2 If a square is enlarged by factor 2, the area of the enlarged square will be …… times bigger than the original square. (2)
A. 1
B. 2
C. 4
D. 8
E. 16

Explore how scaling affects the area of 2D shapes, including triangles and squares. Learn how the area changes when shapes are enlarged by a factor of 3 and 2, using key geometry concepts and formulas. This problem is suitable for students in Grades 6-8 and covers essential scaling principles.

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