Chapter 6 · Question 2

State the Basic Proportionality Theorem.

Answer Revealed

Direct Answer:

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then it divides those two sides in the same ratio.

Simple Explanation

A line parallel to one side cuts the other two sides proportionally.

Exam-Ready Structure

\triangle ABC

, if a line through points

D

AB

and

E

AC

is parallel to

BC

, then

\frac{AD}{DB}=\frac{AE}{EC}

. This is the Basic Proportionality Theorem, also called Thales theorem.

Key Points

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then it divides those two sides in the same ratio.
Use the NCERT formula or theorem carefully.
Write units and final conclusion where applicable.

State the Basic Proportionality Theorem.

State the Basic Proportionality Theorem.

Simple Explanation

Exam-Ready Structure

Key Points

Related Questions

State the AA similarity criterion for triangles.

State the SSS and SAS similarity criteria.