Question

The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
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Answer 1

Answer:

Scale factor = $\frac{5}{4} = 1\frac{1}{4}$

Step-by-step explanation:

The scale factor is how much the right triangle on the right was increased in size or enlarged, since the right triangle is a scaled copy of the one on the left.

The scale factor used = the ratio of any of their corresponding sides

Scale factor = side length of the ∆ on the right ÷ corresponding side length of the ∆ on the left

Scale factor = $\frac{15}{12}$

Scale factor = $\frac{5}{4} = 1\frac{1}{4}$

Answer 2

The scale factor expressed as a fraction is 4/5

Since the right triangle on the right is a scaled copy of the right triangle on the left, then the ratio of their similar sides is equal to the scale factor.

This is expressed as:

Taking the ratio of the fractions

$\frac{20}{25} = \frac{4}{5}$

Similarly for $\frac{12}{15}$

$\frac{12}{15} =\frac{4}{5}$

This shows that $\frac{20}{25} = \frac{12}{15} = \frac{4}{5}$

Hence the scale factor expressed as a fraction is 4/5

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