Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 6 Exercise 6.1 on Similar Figures. Master the definition of similarity and the two crucial conditions for similar polygons (equal angles and proportional sides) (Q.1). Practice identifying and providing examples of similar and non-similar figures (Q.2). Crucially, analyze given quadrilaterals (a square/rectangle and a rhombus ) to determine if they are similar, focusing on the angle condition (Q.3). This exercise builds the fundamental basis for understanding similar triangles.
This exercise covers the basic concepts and definitions related to similar figures, particularly similar polygons.
1. Fill in the blanks using correct word given in the brackets:-
(i) All circles are __________. (congruent, similar)
Answer: Similar
(ii) All squares are __________. (similar, congruent)
Answer: Similar
(iii) All __________ triangles are similar. (isosceles, equilateral)
Answer: 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: (a) Equal
(b) Proportional
2. Give two different examples of pair of
(i) Similar figures
(ii) Non-similar figures
Solution:
3. State whether the following quadrilaterals are similar or not:
Solution:
From the given two figures, we can see their corresponding angles are different or unequal. Therefore, they are not similar.