Question

△rst is the image of △rst under a dilation through point c. rs = 5 and rs = 8. what scale factor was used in the dilation? -1.6 -0.625 0.625 1.6

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) of a dilation is given by \(k=\frac{\text{length of image segment}}{\text{length of pre - image segment}}\).

Step2: Substitute the given values

We are given that \(RS = 5\) (pre - image segment) and \(R'S'=8\) (image segment). So, \(k=\frac{R'S'}{RS}\).
Substituting the values: \(k = \frac{8}{5}\).

Step3: Calculate the value

\(\frac{8}{5}=1.6\).

Answer:

\(1.6\)