Class 10 Maths Chapter 7 Triangles Exercise 7.1 NCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 7 Exercise 7.1 focus on the Basic Proportionality Theorem (BPT), which explains how a line drawn parallel to one side of a triangle divides the other two sides in the same ratio. This is one of the most important concepts in the chapter and forms the base for understanding similarity, as covered in the CBSE Class 10th syllabus. 

These NCERT Solutions are explained step by step, especially for proof-based questions, so students can clearly follow the logic behind each step. Practising this exercise helps develop strong reasoning skills and improves the ability to handle geometry proofs with confidence.

NCERT Solutions for Class 10 Maths Chapter 7 Exercise 7.1

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 that their corresponding angles are different or unequal. Therefore, they are not similar.

How to Score Better in Class 10 Maths Exam?

Scoring well in Class 10 Maths requires clear concepts, regular practice, and a focus on accuracy and answer presentation. To score better, you should:

• Build Strong Concepts:

Focus on understanding concepts in Class 10 Maths instead of memorising steps, as this helps in solving application-based questions.

• Work on Weak Areas:

Focus on difficult topics from the Class 10 Maths syllabus instead of skipping them to avoid losing marks.

• Revise Formulas Daily:

Regular revision of PW Class 10 Maths MIQs helps avoid calculation mistakes in exams.

• Practise Regularly:

Solve all CBSE Class 10 NCERT questions multiple times to strengthen your basics and improve accuracy.

• Solve Previous Year Papers:

Practising CBSE Class 10 Maths previous year questions (PYQs) helps you understand question patterns and important topics.