Question

question
the triangle on the right is a scaled copy of the triangle on the left. identify the scale factor. express your answer as a fraction in simplest form.
answer
attempt 2 out of 2
score: 4/10 penalty: none
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Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) from the original figure (left - hand side triangle) to the scaled - copy (right - hand side triangle) is given by \(k=\frac{\text{side length of scaled - copy}}{\text{side length of original}}\).

Step2: Identify the side lengths

The side length of the original triangle is \(72\), and the side length of the scaled - copy is \(16\).

Step3: Calculate the scale factor

\(k = \frac{16}{72}\). Then, simplify the fraction. Divide both the numerator and the denominator by their greatest common divisor. The GCD of \(16\) and \(72\) is \(8\). So, \(\frac{16\div8}{72\div8}=\frac{2}{9}\)

Answer:

\(\frac{2}{9}\)