Example 4. Prove that any line parallel to parallel sides of a trapezium divides the non-parallel sides proportionally (i.e. in the same ratio)
Solution:-
Given:- PQRS is a trapezium in which PQ || SR || XY
To Prove:-
Construction:- PR is joined which intersects XY at A.
Proof:- In
[ Thales Theorem]
( Taking reciprocals)
From (i) and (ii) we get
Example 5. In the given figure DE || AQ and DF || AR
Prove that EF || QR
Solution:-
In
from (1) and (2) we get
| Subjects | Maths (Part-1) by Mr. M. P. Keshari |
| Chapter 1 | Linear Equations in Two Variables |
| Chapter 2 | HCF and LCM |
| Chapter 3 | Rational Expression |
| Chapter 4 | Quadratic Equations |
| Chapter 5 | Arithmetic Progressions |
| Chapter 6 | Instalments |
| Chapter 7 | Income Tax |
| Chapter 8 | Similar Triangles |
