Question

Which of the following is defined by a line parallel to one side of a triangle

Answer 1

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

$DE$║$AC$

then

$\frac{BD}{DA} = \frac{BE}{EC}$

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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