Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true? Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction. Line segment TU is not parallel to line segment RS because StartFraction 32 Over 36 EndFraction not-equals StartFraction 40 Over 45 EndFraction. Line segment TU is parallel to line segment RS because StartFraction 32 Over 45 EndFraction = StartFraction 40 Over 36 EndFraction. Line segment TU is not parallel to line segment RS because StartFraction 32 Over 45 EndFraction not-equals StartFraction 40 Over 36 EndFraction.

Answers

Answer 1

Line segment TU is parallel to line segment RS because 32/36 = 40/45.

What is side splitter theorem?

According to the "Side Splitter" Theorem, a line that crosses two sides of a triangle and runs parallel to its third side proportionally divides those two sides.

A line will divide two sides of a triangle proportionally if it runs parallel to one of the sides and intersects the other two.

Given

It is evident from the presented figure that QT=32, TR=36, QU=40, and US=45.

The opposite of the side splitter theorem asserts that a line is parallel to a third side if it divides two sides proportionally.

TU separates the two sides by a factor of in

QT/TR = 32/36 = 8/9

QU/US = 40/45 = 8/9

QT/TR = QU/US

It implies that the line TU divides the two sides equally.

Line segment TU is parallel to line segment RS using the reverse of the side splitter theorem because

32/36 = 40/45

Hence option 1 is correct.

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The complete Question is,

Use The Converse Of The Side-splitter Theorem To Determine If T R Is Parallel To R S. Which Statement

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