Scaling Shapes: Triangle and Square Area Enlargement

Math Problem Statement

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:

What happens to the perimeter of a triangle when it is enlarged by a factor of 3?
How is the volume of a 3D shape affected by an enlargement factor?
If a rectangle is enlarged by a factor of 4, what happens to its area?
How do you calculate the area of a triangle if you know its base and height?
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 $k^2$ .

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Geometry
Scaling
Area Calculations

Area scaling formula: new area = original area × scale factor^2

Scaling Theorem: When a 2D shape is scaled by a factor k, the area increases by k^2

Grades 6-8

Understanding Scaling and Area Changes for Triangles and Squares

Calculate Area Enlargement of a Triangle with Side Length Scaled by 3

Effect of Increasing Base and Height on Area of Geometric Shapes

How Scaling Affects the Area of a Triangle: Side Lengths Doubled

Scaling Triangles and Ratios with Minions