Question

∆A′B′C′ is a dilation image of ∆ABC. Which is the correct description of the dilation?

Answer 1

Given: The triangle A'B'C' is a dilation image of triangle ABC

`\begin{gathered} AB=6 \\ A^(\prime)B^(\prime)=18 \end{gathered}`

To Determine: The correct description of the dilation

It can be observed that the image A'B'C' is a stretch or enlargement of the pre-image triangle ABC

The scale factor is

`scale-factor=(A^(\prime)B^(\prime))/(AB)=(18)/(6)=3`

Hence, the correct description of the dilation of triangle ABC to triangle A'B'C' is

An enlargement with a scale-factor of 3