NCERT Class 10 Maths Solutions Chapter - 6 Triangles, Ex - 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) 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)    All circles are SIMILAR.
(ii)    All squares are SIMILAR.
(iii)    All EQUILATERAL triangles are similar.
(iv)    Two polygons of same number of sides are similar, if their corresponding angles are EQUAL and their corresponding sides are PROPORTIONAL.

Question 2.  Give two different examples of pair of
 (i) Similar figures
 (ii) Non-similar figures

Solution

(i)  Two equilateral triangles with sides 1 cm and 2 cm.

Two squares with sides 1 cm and 2 cm

(ii)  Trapezium and Square

Triangle and Parallelogram

Question 3.  State whether the following quadrilaterals are similar or not:


Solution

Quadrilateral PQRS and ABCD are not similar as their corresponding sides are proportional i.e. 1:2 but their corresponding angles are not equal.

Question 4.
           

Solution

Ex-6.2