Question

Select all of the true statements about to figure, if a scale factor is 2.

Answer 1

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

`\begin{gathered} A^(\prime)B^(\prime)=2AB \\ A^(\prime)C^(\prime)=2AC \\ B^(\prime)C^(\prime)=2BC \end{gathered}`

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