aprilchase2000
Answered

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

Verified Answer :

penfila11Pen

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

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

carlosego

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:
 \(k = \frac{1}{2}\)

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