←Back to Quadrilaterals
02
LESSON 02 · CLASS 9 MATHEMATICS (NCERT)

The Mid-point Theorem & Converse

Master Theorem 8.9 (Mid-point Theorem) and Theorem 8.10 (Converse of Mid-point Theorem) with step-by-step geometric proofs.

01 · MID-POINT THEOREM

Theorem 8.9 (Mid-point Theorem)

The line segment joining the mid-points of two sides of a triangle is parallel to the third side and equal to half of it.

THEOREM STATEMENT

Mid-point Formula Representation

In △ABC, if E is the mid-point of AB and F is the mid-point of AC, then:

EF ∥ BC  and  EF = 1/2 BC
02 · CONVERSE OF MID-POINT THEOREM

Theorem 8.10 (Converse)

The line drawn through the mid-point of one side of a triangle, parallel to another side, bisects the third side.