Question

16
what is the scale factor of the dilation that maps △abc→△abc?

Explanation:

Step1: Find coordinates of corresponding points

Assume \(A(4,1)\), \(A'(2,0.5)\) (by observing the graph).

Step2: Calculate the scale factor

The scale factor \(k\) for dilation is given by \(k=\frac{x - coordinate\ of\ A'}{x - coordinate\ of\ A}=\frac{y - coordinate\ of\ A'}{y - coordinate\ of\ A}\).
Using \(x\)-coordinates: \(k = \frac{2}{4}=\frac{1}{2}\). Using \(y\)-coordinates: \(k=\frac{0.5}{1}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)