Question

pre - image bcde and dilation image bcde are shown in the coordinate plane. what scale factor is used to create the dilation image? 2 6 3 21

Explanation:

Step1: Find coordinates of corresponding points

Let's take point \(D\). Coordinates of \(D\) are \((4,5)\) and coordinates of \(D'\) are \((8,10)\).

Step2: Calculate the scale factor

The scale factor \(k\) for dilation is given by \(k=\frac{x - coordinate\ of\ image}{x - coordinate\ of\ pre - image}=\frac{y - coordinate\ of\ image}{y - coordinate\ of\ pre - image}\).
For \(x\) - coordinates: \(k=\frac{8}{4}=2\).
For \(y\) - coordinates: \(k = \frac{10}{5}=2\).

Answer:

2