State basic proportionality theorem and its converse.

Question:

State basic proportionality theorem and its converse.

Solution:

TO STATE: The basic proportionality theorem and its converse.

BASIC PROPORTIONALITY THEOREM: If a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.

CONVERSE OF BASIC PROPORTIONALITY THEOREM: If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.