Question

Square NOPQ is dilated by a scale factor of to form square N'O'P'Q'. Side N'O' measures 4. What is the measure of side NO?

Answer 1

`\begin{gathered} \text{NOPQ was dilated to N'O'P'Q'} \\ \text{The scale factor is }(2)/(3) \\ N^(\prime)O^(\prime)=4 \\ N^(\prime)O^(\prime)=(2)/(3)NO \\ 4=(2)/(3)NO \\ \text{cross multiply} \\ 12=2NO \\ NO=(12)/(2) \\ NO=6 \end{gathered}`