Question

1. what is the scale factor, if edc is a dilation of abc?

bo = 0.8
de = 4.1
cb = 4.6
ba = 3.5
ea = 1
ca = 5.7

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) of a dilation is given by the ratio of the length of a side of the dilated figure to the corresponding side of the original figure. If \(EDC\) is the dilated figure and \(ABC\) is the original figure, we can use the sides \(DE\) and \(BA\) (or other corresponding sides).

Step2: Calculate the scale factor

We know \(DE = 4.1\) and \(BA=3.5\). The scale factor \(k=\frac{DE}{BA}\) (since \(DE\) and \(BA\) are corresponding sides).

$$k = \frac{4.1}{3.5}=\frac{41}{35}\approx1.17$$

Answer:

The scale factor is \(\frac{41}{35}\approx1.17\)