NCERT Solutions Class 10 Maths Chapter 6 Triangles on Padhaiwise

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.1

Mon, 01 Jan 0001 00:00:00 +0000

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.1#

This exercise introduces the concept of similar figures and the criteria for similarity of triangles. Students learn to distinguish between congruent and similar figures, understand that similar figures have the same shape but not necessarily the same size, and apply the AA, SAS, and SSS similarity criteria.

1. Fill in the blanks using the correct word given in brackets: #

(i) All circles are ___. (congruent, similar)

All circles are similar.

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.2

Mon, 01 Jan 0001 00:00:00 +0000

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.2#

Exercise 6.2 covers the Basic Proportionality Theorem (also known as Thales’ Theorem) and its converse. The BPT states that if a line is drawn parallel to one side of a triangle, it divides the other two sides in the same ratio.

Basic Proportionality Theorem (BPT / Thales’ Theorem): If a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. Conversely, if a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.3

Mon, 01 Jan 0001 00:00:00 +0000

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.3#

Exercise 6.3 deals with the criteria for similarity of triangles — AA (Angle-Angle), SAS (Side-Angle-Side), and SSS (Side-Side-Side). Students apply these criteria to prove triangles similar and find unknown sides and angles.

Similarity Criteria: (1) AA: If two angles of one triangle are equal to two angles of another triangle, the triangles are similar. (2) SAS: If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the triangles are similar. (3) SSS: If corresponding sides of two triangles are proportional, the triangles are similar.