Question

If AABC~ADEF, what is the scale factor of AABC to ADEF?

Answer 1

Given:

`\Delta ABC\sim \Delta D E F`

`AB=18,BC=21,AC=24,EF=7`

To find:

The scale factor of
`\Delta ABC` to
`\Delta D EF`.

Solution:

We have,

`\Delta ABC\sim \Delta D EF`

So, side BC is the corresponding side of EF.

Now, scale factor of
`\Delta ABC` to
`\Delta D EF` is

`\text{Scale factor}=\frac{\text{ Side of }\Delta D EF}{\text{Corresponding side of }\Delta ABC}`

`\text{Scale factor}=(EF)/(BC)`

`\text{Scale factor}=(7)/(21)`

`\text{Scale factor}=(1)/(3)`

Therefore, the scale factor of
`\Delta ABC` to
`\Delta D EF` is
`(1)/(3)`.