Question

Use the converse of the side-splitter theorem to determine if . Which statement is true?

Answer 1

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 2

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

$\frac{QT}{TR}=\frac{32}{36}=\frac{8}{9}$

$\frac{QU}{US}=\frac{40}{45}=\frac{8}{9}$

$\frac{QT}{TR}=\frac{QU}{US}=\frac{8}{9}$

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

$\frac{32}{36}=\frac{40}{45}$

Therefore the correct option is 1.