The diagonals of a quadrilateral ABCD intersect each other at the point O. | Q10 Ex 6.2 class 10|

Exercise 6.2 Question 10 Class 10
The diagonals of a quadrilateral ABCD intersect each other at the point O such that
AO / BO = CO / DO. Show that ABCD is a trapezium.

HINT of Question 10 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.

Theorem 6.2 :
If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Read it :
INTRODUCTION
1.Two figures are said to be congruent, if they have the same shape and the same size.
2.Two figures having the same shape (and not necessarily the same size) are called similar figures.
3.All congruent figures are similar but the similar figures need not be congruent.
4.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 10.

Practice :
ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that AO / BO = CO / OD
Revise✍🏻:
Circles:

Real Numbers:

Polynomials

Quadratic Equation

Trigonometry

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