Thursday, November 23, 2023

164-NCERT-10-6-Triangles - Ex- 6.1

NCERT
10th Mathematics
Exercise 6.1
Topic: 6 Triangles

Click here for ⇨ NCERT-10-5-Arithmetic Progressions - Ex- 5.4

EXERCISE 6.1

Q1. Fill in the blanks using the correct word given in brackets :
(i) All circles are _________. (congruent, similar)

Ans: similar, "All circles are similar".
 
(ii) All squares are_________ . (similar, congruent)

 Ans: similar, "All squares are similar".

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

Ans: similar, "All equilateral tringles are similar".
 
(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)
 
Ans: a) equal, b) proportional
"Two polygons of the same number of sides are similar, if
(a) their corresponding angles are equal and
(b) their corresponding sides are proportional.
 
2. Give two different examples of a pair of
(i) similar figures. (ii) non-similar figures.

Solution:

(i) similar figures:
a) All equilateral tringles are similar.
b) All squares are similar.
(ii) non-similar figures:
a) Equilateral tringle and isosceles traingle are non-similar.
b) Square and rectangle are non-similar. 
 
3. State whether the following quadrilaterals are similar or not:
Ans: No, these quadrilaterals are not similar.

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