Which of the following is defined by a line parallel to one side of a triangle
divides the other two sides proportionally?

A. Parallel Midsegment Theorem

B. Triangle Midsegment Theorem

C. Parallel Proportionality Theorem

D. Triangle Proportionality Theorem

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Answer:

Triangle Proportionality Theorem is  defined by a line parallel to one side of a triangle  divides the other two sides proportionally.

Step-by-step explanation:

Triangular Proportionality Theorem states that:

  • If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

Let us consider the triangle ΔABC as shown in attached figure.

If

[tex]DE[/tex]║[tex]AC[/tex]

then

[tex]\frac{BD}{DA} = \frac{BE}{EC}[/tex]

Therefore, Triangle Proportionality Theorem is  defined by a line parallel to one side of a triangle  divides the other two sides proportionally.

Keywords: Triangle Proportionality Theorem, triangle, line segment

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Answer:

Triangle Proportionality Theorem

Step-by-step explanation:

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