Question

State basic proportionality theorem and its converse.

Answer 1

SOLUTION :

BASIC PROPORTIONALITY THEOREM (BPT) :  

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio.

This theorem also known as ‘Thales theorem’.

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.

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Answer 2

Answer:

Step-by-step explanation:

To State :-

Basic Proportionality Theorem and its Converse.

Solution :-

Basic Proportionality Theorem (or Thales 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.

Or

If a line is drawn parallel to one side of a triangle, to intersect the other two sides in distinct point, the other two sides are divided in the same ratio.

Converse of Basic Proportionality Theorem :-

If a line divides any two sides of a triangle in the same ratio, the line is parallel to the third side.