Question

Quadrilateral A′B′C′D′ is a dilation of ABCD about point F.

What is the scale factor?

Answer 1

The scale factor is 1.5

Explanation:

we know that

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

so In this problem

Let

z -----> the scale factor

`z=(B'C')/(BC)=(C'D')/(CD)=(D'A')/(DA)=(A'B')/(AB)`

substitute the values

`z=(3)/(2)=(4.5)/(3)=(4.5)/(3)=(4.5)/(3)`

therefore

`z=1.5`

The scale factor is 1.5