E and F are points on the sides PQ and PR respectively of a Δ PQR For each of the following cases,

Exercise 6.2 Question 2 Class 10
E and F are points on the sides PQ and PR respectively of a Δ PQR. For each of the following cases, state whether EF || QR :
(i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm
(ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm

HINT:
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
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 2.

Practice :
In Figure, DE || BC. Find EC in (i) and AD in (ii).

Revise✍🏻:
Circles:

Real Numbers:

Polynomials

Quadratic Equation

Trigonometry

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