Answer:
The answer to this question is the first option:
Line segment TU is parallel to line segment RS because 32/36=40/45
Answer:
The correct option is 1.
Step-by-step explanation:
From the given figure it is clear that QT=32, TR=36, QU=40 and US=45.
The converse of side splitter theorem states that if a line divides two sides proportionally, then that line is parallel to the third side.
The ratio in which TU divides the two sides is
[tex]\frac{QT}{TR}=\frac{32}{36}=\frac{8}{9}[/tex]
[tex]\frac{QU}{US}=\frac{40}{45}=\frac{8}{9}[/tex]
[tex]\frac{QT}{TR}=\frac{QU}{US}=\frac{8}{9}[/tex]
It means the line TU divides two sides proportionally.
Using converse of side splitter theorem, Line segment TU is parallel to line segment RS because
[tex]\frac{32}{36}=\frac{40}{45}[/tex]
Therefore the correct option is 1.
