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BECE Mathematics 2016 Paper

Question : 33

Total: 40

X Y \longrightarrow X_1 Y_1

\left| X Y \right| = 24\,\text{cm}

\left| X_1 Y_1 \right| = 8\,\text{cm}

Solution:

Concept:

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

Explanation:

Here, the original object is

XY

with length

|XY| = 24\,\text{cm}

The image after enlargement is

X_1Y_1

with length

|X_1Y_1| = 8\,\text{cm}

Scale factor

= \dfrac{\text{Image Length}}{\text{Object Length}}

Scale factor

= \dfrac{8\,\text{cm}}{24\,\text{cm}} = \dfrac{1}{3}

Since the value is less than

1

, it shows a reduction.

Answer:

The scale factor is

\dfrac{1}{3}

, which is option D.

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