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NCERT · Class 10 · Maths

Chapter 6: Triangles

Practice each question, then open the answer or worked solution.

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Exercise 6.1

3 questions
Q1Written answer

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 their corresponding angles are ______ (equal, proportional)

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Worked solution

Ans: Similar.


Ans: Similar.


Ans: Equilateral.


Ans: Equal

And their corresponding sides are ______. (equal, proportional)

Ans: Proportional.


Q2Written answer

Give Two Different Examples of Pair of -

i. Similar Figures

ii. Non-Similar Figures

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Worked solution

Ans: The two examples for similar figures are 

  1. Two equilateral triangles having sides \[\text{2cm}\] and $\text{4cm}$.



                                    

  1. Two squares having sides \[\text{2cm}\] and $\text{4cm}$.


                       

Ans: The two examples for non - similar figures are

  1. A circle and a square.



  1. A triangle and a rectangle.



Q3Written answer

State whether the following quadrilaterals are similar or not.



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Worked solution

Ans: The given quadrilaterals $PQRS$ and $ABCD$ are not similar because their corresponding sides are proportional, that is, $1:2$ but their corresponding angles are not equal.