Question

The image above shows two dilated figures with lines IJ and KL drawn. If the smaller figure was dilated using a scale factor of 2, what relationship do lines IJ and KL have?

Answer 1

The relationship is
`IJ=2KL`

IJ is two times KJ

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

Let

z ------> the scale factor

`z=(IJ)/(KL)`

we have

`z=2`

substitute

`2=(IJ)/(KL)`

`IJ=2KL`

therefore

IJ is two times KJ