contestada

Triangle R Q S is cut by line segment T U. Line segment T U goes from side Q R to side Q S. The length of Q T is 32, the length of T R is 36, the length of Q U is 40, and the length of U S is 45.
Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true?

Triangle R Q S is cut by line segment T U Line segment T U goes from side Q R to side Q S The length of Q T is 32 the length of T R is 36 the length of Q U is 4 class=

Respuesta :

Answer:

the first statement is true

Step-by-step explanation:

The side- splitter states that if the line is parallel to a side of the triangle and it intersects the other 2 sides, it divides those sides proportionally.

Thus the converse is that if the sides are proportional then the side TU is parallel to the side RS

Calculating the ratios

[tex]\frac{QT}{TR}[/tex] = [tex]\frac{32}{36}[/tex] = [tex]\frac{8}{9}[/tex]

[tex]\frac{QU}{US}[/tex] = [tex]\frac{40}{45}[/tex] = [tex]\frac{8}{9}[/tex]

Since the ratios are equal then TU is parallel to RS

Answer:

A

Step-by-step explanation:

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