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.

Question

asked May 15, 2019 214k views

1 Answer

GrIsHu · Answer 1 · 2019-05-21T14:24:46+0000

Answer:

Part a) The dilation is an enlargement

Part b) The scale factor is equal to 3

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=(B'C')/(BC)=(B'A')/(BA)=(A'C')/(AC)

we have

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

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

substitute the values

z=(6)/(2)=3

The scale factor is greater than 1

therefore

The dilation is a enlargement