RD Sharma Class 10 Solutions Triangles
RD Sharma Class 10 Solutions Triangles Exercise 4.1
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, equilaterals) :
(iv) Two triangles are similar, if their corres-ponding angles are ……… (proportional, equal)
(v) Two triangles are similar, if their corres-ponding sides are ……………. (proportional, equal)
(vi) Two polygons of the same number of sides are similar, if (a) their corresponding angles are …………. and (b) their corres-ponding sides are …………….. (equal, proportional).
Solution:
(i) All circles are
similar.
(ii) All squares are
similar.
(iii) All
equilaterals
triangles are
similar.
(iv) Two triangles are similar, if their corresponding angles are
equal.
(v) Two triangles are similar, if their corresponding sides are
proportional.
(vi) 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.
Write the truth value
(T/F)
of each of the following statements :
(i) Any two similar figures are congruent.
(ii) Any two congruent figures are similar.
(iii) Two polygons are similar, if their corresponding sides are proportional.
(iv) Two polygons are similar if their corresponding angles are proportional.
(v) Two triangles are similar if their corresponding sides are proportional.
(vi) Two triangles are similar if their corresponding angles are proportional.
Solution:
(i) False : In some cases, the similar polygons can be congruent.
(ii) True.
(iii) False : Its corresponding angles must be equal also.
(iv) False : Angle are equal not proportional.
(v) True.
(vi) False : Sides should be proportional and corresponding angles should be equal.
RD Sharma Class 10 Solutions Triangles Ex 4.1
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RD Sharma Class 10 Solutions
- Chapter 4 Triangles Exercise 4.1
- Chapter 4 Triangles Exercise 4.2
- Chapter 4 Triangles Exercise 4.3
- Chapter 4 Triangles Exercise 4.4
- Chapter 4 Triangles Exercise 4.5
- Chapter 4 Triangles Exercise 4.6
- Chapter 4 Triangles Exercise 4.7