State basic proportionality theorem and its converse. - Vidyadip

Question

State basic proportionality theorem and its converse.

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Answer

Basic Proportionality Theorem: If a line is drawn parallel to one side of a triangle intersects the other two sides in distinct points, then the other two sides are divided in the same ratio.
Conversely: In a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side of the triangle.

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