NCERT Solutions Class 10 Mathematics Triangles Exercise 6.1

Class 10 - Mathematics
Triangles - Exercise 6.1

NCERT Solutions Class 10 Mathematics Textbook
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Exercise 6.1


Question : 1:Fill in the blanks using the correct word given in 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)

Answer :

(i) All circles are similar.
(ii) All squares are similar.
(iii) All equilateral triangles are similar.
(iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are
equal and (b) their corresponding sides are proportional.


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

Answer :

(i) similar figures.                           
Two equilateral triangles with sides
1 cm and 2 cm are given below:

NCERT Solutions Class 10 Mathematics Triangles
Two squares with sides 1 cm and 2 cm are given below:
NCERT Solutions Class 10 Mathematics Triangles
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(ii) non-similar figures.
Trapezium and square
NCERT Solutions Class 10 Mathematics Triangles
Triangle and parallelogram
NCERT Solutions Class 10 Mathematics Triangles

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

Answer :

The sides of quadrilateral PQRS and ABCD are in the same ratio i.e. 1 : 2. Therefore, the
corresponding angles of the two quadrilaterals are not equal.
Hence, the two quadrilaterals are not similar. 

NCERT Solutions Class 10 Mathematics Triangles
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