Question

Triangle ABC is similar to triangle DEF. Side AB is the longest side of ABC. It measures 12 centimeters. Side DE is the longest side of DEF. It measures 8 centimeters. What is the scale factor that takes DEF to ABC?

Answer 1

since these are similar triangles, all sides have a scale factor in order to become the other

since you are being asked for the scale factor from DEF to ABC, the equality should be like this

`8x=12`

solve for x

`x=(12)/(8)=(3)/(2)`

WHAT WOULD BE THE SCALE FACTOR THAT TAKES ABC TO DEF?

apply same procedure as before, but the initial value should be 12

`\begin{gathered} 12x=8 \\ x=(8)/(12)=(2)/(3) \end{gathered}`