Question

triangle z is a scaled copy of triangle y. what scale factor takes triangle y to triangle z?

Explanation:

Step1: Recall the scale - factor formula

The scale factor \(k\) from triangle \(Y\) to triangle \(Z\) is given by \(k=\frac{\text{corresponding side in }Z}{\text{corresponding side in }Y}\).

Step2: Substitute the values

Let's take the sides of length \(13.5\) (in \(Z\)) and \(15\) (in \(Y\)). Then \(k = \frac{13.5}{15}\).

Step3: Simplify the fraction

\(\frac{13.5}{15}=\frac{135}{150}\) (multiply numerator and denominator by \(10\) to get rid of the decimal). Then \(\frac{135\div15}{150\div15}=\frac{9}{10}=0.9\).

Answer:

\(0.9\)