Given
[tex]QS\perp US[/tex]
similar triangles = QRS and STU
Find
Missing statement .
Explanation
As we have given
[tex]QS\perp US[/tex]
similar triangles QRS and STU
by property of similar triangle we have ,
[tex]\frac{QR}{RS}=\frac{ST}{TU}[/tex]
Slope of QS * Slope of US =
[tex]\frac{QR}{RS}\times\frac{-TU}{ST}[/tex]
now , substituting the property of equality
Slope of QS * Slope of US =
[tex]\frac{ST}{TU}\times-\frac{TU}{ST}[/tex]
So,
Slope of QS * Slope of US = -1
Final Answer
Missing statement =
[tex]Slope\text{ of QS }\times Slope\text{ of US =}\frac{\text{ST}}{\text{ }TU}\times\frac{-TU}{ST}[/tex]
Correct option is A.
