Respuesta :

Given: The scale factor is 2 for the given figures

To Determine: The truth statements from the given options

The transformation shown is an enlargement. This means that each of the length of the pre-image multiplied by 2 would give the length of the image

This means

[tex]\begin{gathered} A^{\prime}B^{\prime}=2AB \\ A^{\prime}C^{\prime}=2AC \\ B^{\prime}C^{\prime}=2BC \end{gathered}[/tex]

For similar shapes, the angles are congruent and the sides are in proportion of the scale factor

Hence, the following are true statements of the given diagrams

A'C' = 2 AC, OPTION B

If AB = 6, then A'B' = 12, OPTION E