ABCD is a trapezium in which AB || DC and its diagonals intersect | Q9 Exercise 6.2 Class 10

Exercise 6.2 Question 9 Class 10
ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that AO / BO = CO / DO.

HINT of Question 9 of Exercise 6.2 class 10 :
Theorem 6.1 :
If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Read it :
INTRODUCTION
Two figures are said to be congruent, if they have the same shape and the same size.
Two figures having the same shape (and not necessarily the same size) are called similar figures.
All congruent figures are similar but the similar figures need not be congruent.
Two polygons of the same number of sides are similar, if (i) their corresponding angles are equal and (ii) their corresponding sides are in the same ratio (or proportion)

Note📝
The above question is taken from NCERT class 10 chapter Circles Exercise 6.2 Question 9.

Practice :
Using Theorem 6.2, prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side.

Revise✍🏻:
Circles:

Real Numbers:

Polynomials

Quadratic Equation

Trigonometry

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