The scale factor is always the ratio of new image with respect to the old image.
6) The scale factor as per the image is 3:1 or 3.
7) The New image is P'Q'R'S' and old image is PQRS so the scale factor is given by:
Q'R':QR=3:6 or 1:2.
The scale factor is 1/2.
8) Here the pair of congruent angles is:
![\begin{gathered} \angle G=\angle S=90 \\ \angle F=\angle R=35 \\ \angle H=\angle T=90-35=55 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/b9fol5ukvahnbsc6z9bysn4lh39occg100.png)
The proportional sides are:
![(HF)/(TR)=(HG)/(TS)=(GF)/(RS)=(2)/(1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/gmlcnl88a8tibn9bhqe5x0yg8i1l2jhcx6.png)
So FG corresponds to RS, GH corresponds to TS, HF corresponds to TR.