Question

A similarity transformation maps polygon ABCD to polygon PQRS. If the length of is 6 and the length of the corresponding side, , is 12, what is the scale factor of dilation

Answer 1

$\frac{6}{12}$ = $\frac{1}{2}$ from the larger polygon to smaller one

$\frac{12}{6}$ = 2, from the smaller polygon to the larger one.

Answer 2

For this case, what we must do is find the scale factor.
 We have then that the scale factor is given by:
 $k = \frac{L1}{L2}$
 Where,
 L1: side length of polygon ABCD
 L2: side length of polygon PQRS
 Note: both sides belong to the same side of each polygon
 Substituting the values we have:
 $k = \frac{6}{12}$
 Rewriting we have:
 $k = \frac{1}{2}$
 Answer:
 The scale factor of dilation is given by:
 $k = \frac{1}{2}$