Question

3. Consider this dilation. (a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain. (b)What is the scale factor? Explain.

Answer 1

Answer:

Part a) The dilation is an enlargement

Part b) The scale factor is equal to 3

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Let

z----> the scale factor

In this problem

$z=\frac{B'C'}{BC}=\frac{B'A'}{BA}=\frac{A'C'}{AC}$

we have

$B'C'=3-(-3)=6\ units$

$BC=1-(-1)=2\ units$

substitute the values

$z=\frac{6}{2}=3$

The scale factor is greater than 1

therefore

The dilation is a enlargement