Question

What can be said about the statement:
"The figure ABCDEF is dilated with a scale factor of 2, centered around the origin to form a similar figure MNOPQR" ?

• A. The statement is true
• B. The statement is false
• C. The statement can't be determined
• D. None of the above

Answer 1

The correct option is B The statement is false

It is given two figures are similar. So, the figures are dilated, centered around the origin.


From the image, it is clear that figure ABCDEF is dilated and rotated to 90° in counterclockwise direction and then translated to get the similar figure MNOPQR.

$\text{Scale factor}=\frac{\text{Enlarged side}}{\text{Original side}}$

$=\frac{MN}{AB}$
$=\frac{3}{1}$
$=3$

Therefore, the figure ABCDEF is dilated with a scale factor of 3, centered around the origin to get figure MNOPQR.