NCERT solutions for class 10 Maths chapter 6 Triangles (Exercise 6.1)

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NCERT solutions for class 10 Maths


Chapter 6


Triangles


Exercise 6.1


Ex 6.1 Question 1.


Fill in the blanks using correct word given in the brackets:-

(i) All circles are __________. (congruent, similar)

(ii) All squares are __________. (similar, congruent)

(iii) All __________ triangles are similar. (isosceles, equilateral)

(iv)(a) Two polygons of the same number of sides are similar, if (a) their corresponding angles are __________ and

(b) their corresponding sides are __________. (equal, proportional)

Solution:

(i) Similar

(ii) Similar

(iii) Equilateral

(iv) (a) Equal

(b) Proportional


Ex 6.1 Question 2.


Give two different examples of pair of
(i) Similar figures
(ii) Non-similar figures

Solution:

 

(i) Similar figures

Two equilateral triangles with sides 1 cm and 2 cm.

Two squares with sides 1 cm and 2 cm

(ii) Non-similar figures

Trapezium and Square

Triangle and Parallelogram


Ex 6.1 Question 3.


State whether the following quadrilaterals are similar or not:

Solution:

The side of quadrilateral PQRS and ABCD are in the same ratio, i.e. 1:2. The corresponding angles of the two quadrilateral are not equal.

Hence, the quadrilateral is not similar.