242,510 views
22 votes
22 votes
Quadrilateral QRST is dilated and translated to form similar figure Q'R'S'T'. What is the scale factor for the dilation?

Quadrilateral QRST is dilated and translated to form similar figure Q'R'S'T'. What-example-1
User Giridhar
by
3.3k points

2 Answers

25 votes
25 votes

Answer: 1/3

Step-by-step explanation: just did it on edge

User Tarun Modi
by
3.4k points
21 votes
21 votes

We can find the factor of dilation by finding the ratio between two correspondent sides of the quadrilaterals.

Consider Q'R' and QR.


\begin{gathered} QR=6 \\ Q^(\prime)R^(\prime)=2 \\ \Rightarrow(Q^(\prime)R^(\prime))/(QR)=(2)/(6)=(1)/(3) \end{gathered}

Therefore, the scale factor for the dilation is equal to 1/3

User Morsor
by
2.6k points