7. yes
8. yes
9. no
the answer is no because if you scale the bigger ones smaller (or the smaller ones bigger) they wouldn't line up
ST is parallel to PR in question 7 and not in questions 8 & 9.
For ST to be parallel to PR, the ratio of QS over SP must be equal to the ratio of QT over TR.
(7)
[tex]\frac{QS}{SP}=\frac{7}{11.2}=\frac{10}{16} \\\\\frac{QT}{TR}=\frac{10}{16}\\\\\frac{QS}{SP} =\frac{QT}{TR}[/tex]it implies that ST is parallel to PR
(8)
[tex]\frac{QS}{SP}=\frac{45}{105}=\frac{15}{34} \\\\\frac{QT}{TR}=\frac{33}{41.8}\\\\\frac{QS}{SP} \neq \frac{QT}{TR}[/tex]it implies that ST is not parallel to PR
(9)
[tex]\frac{QS}{SP}=\frac{19}{38}=\frac{1}{2} \\\\\frac{QT}{TR}=\frac{24}{52}=\frac{6}{13}\\\\\frac{QS}{SP} \neq \frac{QT}{TR}[/tex]it implies that ST is not [arallel to PR
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