Question

Calculate The scale factor of XYZ to you UVW enter answers as a whole number as a fraction in lowest terms using the slash mark for the fraction bar

Answer 1

Scale factor of ΔXYZ to ΔUVW will be 1/5

Explanation:

Since all the angles of ΔXYZ and ΔUVW are equal, both the triangles will be similar.

ΔXYZ ~ ΔUVW

Since both the triangles are similar, ratio of the corresponding sides will be in the same ratio.

`(UV)/(XY)=(VW)/(YZ)=(UW)/(XZ)`

And the scale factor =
`\frac{\text{Side of UVW}}{\text{Side of XYZ}}`

=
`(UV)/(XY)`

=
`(12)/(60)`

=
`(1)/(5)`

Therefore, scale factor of ΔXYZ to ΔUVW will be 1/5