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BECE Mathematics 2012 Paper

Question : 34

Total: 40

A_1 B_1 C_1

A B C

Solution:

Concept:

Scale factor of an enlargement is the ratio of the image side length to the corresponding original side length.

Explanation:

From the diagram, a side of

\triangle A_1B_1C_1

8\text{ cm}

The corresponding side of

\triangle ABC

4\text{ cm}

\text{Scale factor} = \frac{\text{length of image side}}{\text{length of original side}} = \frac{8}{4} = 2

Checking with the other pair of corresponding sides:

\frac{6}{3} = 2

Thus, the scale factor is constant and equals

2.00

Answer:

2.00

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