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.