NCERT Solutions Maths Class 10 Exercise 6.1
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)
Solution: (i) similar
(ii) similar
(iii) equilateral
(iv) equal, proportional
2. Give two different examples of pair of:
(i) similar figures.
(ii) non-similar figures.
Solution: (i) Two different examples of pair
of similar figures are:
(a) Any two circles
(b) Any two squares
(ii) Two different examples of pair of
non-similar figures are:
(a) A scalene and an equilateral triangle
(b) An equilateral triangle and a right-angled
triangle
3. State whether the following quadrilaterals
are similar or not:
Solution: In
the given figures, the first quadrilateral is a rhombus and the second
quadrilateral is a square. Thus, their angles are not equal.
Hence, the
quadrilaterals are not similar.