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Download Free PDF of Triangles Chapter 6 Exercise 6.1 Solutions for Class 10 Maths
If you're working through Class 10 Maths and need to conquer triangles, you're in the right place. Here, you'll find NCERT solutions for Class 10 Maths Chapter 6 Exercise 6.1, crafted to make board exam preparation more manageable and clear. This chapter carries an 8-mark weightage in the CBSE examination, so mastering its stepwise solutions is essential for scoring well.
Table of Content
You'll practice the Basic Proportionality Theorem and triangle similarity exercises using step-by-step methods that match latest CBSE guidelines. Common questions like “maths chapter 6 class 10 exercise 6.1” are answered with each logical step shown, making it easier to grasp geometric proofs and revision points quickly, even under exam pressure.
Thousands of students trust Vedantu for clear, reliable solutions that are always syllabus-aligned. If you need to double-check a solution or quickly revise, these expert answers will help you build confidence for your Class 10 Maths board exam.
CBSE Class 10 Maths Chapter 6 Triangles – NCERT Solutions 2025-26
ShareShareExercise 6.1
1. Fill in the Blanks Using Correct Word Given in the Brackets:
i. All circles are ______. (congruent, similar)
Ans: Similar.
ii. All squares are ______. (similar, congruent)
Ans: Similar.
iii. All ______ triangles are similar. (isosceles, equilateral)
Ans: Equilateral.
iv. Two polygons of the same number of sides are similar, if their corresponding angles are ______ (equal, proportional)
Ans: Equal
And their corresponding sides are ______. (equal, proportional)
Ans: Proportional.
2. Give Two Different Examples of Pair of -
i. Similar Figures
Ans: The two examples for similar figures are
Two equilateral triangles having sides \[\text{2cm}\] and $\text{4cm}$.
Two squares having sides \[\text{2cm}\] and $\text{4cm}$.
ii. Non-Similar Figures
Ans: The two examples for non - similar figures are
A circle and a square.
A triangle and a rectangle.
3. State whether the following quadrilaterals are similar or not.
Ans: The given quadrilaterals $PQRS$ and $ABCD$ are not similar because their corresponding sides are proportional, that is, $1:2$ but their corresponding angles are not equal.
Conclusion
In conclusion, NCERT Solutions for Maths Exercise 6.1 in Class 10 Chapter 6 - Triangles, provided by Vedantu, offer clear and detailed explanations of the fundamental properties and types of triangles. It is important to focus on understanding the concepts of congruence, similarity, and the Pythagorean theorem. Practicing these solutions of ex 6.1 class 10 helps solidify the foundational principles of triangle geometry, ensuring a strong grasp of the subject. Pay special attention to the criteria for triangle similarity and the application of the Pythagorean theorem in various problems. Regular practice and thorough understanding will greatly aid in mastering this chapter and excelling in exams.
Class 10 Maths Chapter 6: Exercises Breakdown
CBSE Class 10 Maths Chapter 6 Other Study Materials
Chapter-Specific NCERT Solutions for Class 10 Maths
Given below are the chapter-wise NCERT Solutions for Class 10 Maths. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.
NCERT Study Resources for Class 10 Maths
For complete preparation of Maths for CBSE Class 10 board exams, check out the following links for different study materials available at Vedantu.
FAQs on CBSE Class 10 Maths Chapter 6 Triangles – NCERT Solutions 2025-26
1. What are the main concepts covered in NCERT Class 10 Maths Chapter 6 Exercise 6.1?
NCERT Class 10 Maths Chapter 6 Exercise 6.1 mainly covers triangle similarity and the Basic Proportionality Theorem (BPT) as per the latest CBSE syllabus.
Key topics include:
- Similar Figures – understanding similarity in triangles and other shapes.
- Basic Proportionality Theorem (Thales’ Theorem) – its statement and proof.
- Application of BPT to solve triangle problems, proportionate sides, and parallel line questions.
- Stepwise solutions for all NCERT Exercise 6.1 questions.
2. How do you apply the Basic Proportionality Theorem in solving triangle problems?
The Basic Proportionality Theorem (BPT) is applied to find unknown lengths or prove line segments are proportional in triangles.
Steps to apply BPT:
- Identify a line drawn parallel to one side of a triangle and intersecting the other two sides.
- Write the proportionality equation: If DE || BC in ∆ABC, then AD/DB = AE/EC.
- Substitute known values to solve for unknown sides.
- Use the theorem for both direct calculation and geometric proofs involving triangle similarity.
3. Where can I download the Class 10 Maths Chapter 6 Exercise 6.1 solutions PDF?
You can download the Class 10 Maths Chapter 6 Exercise 6.1 NCERT Solutions PDF from trusted educational platforms such as Vedantu for free.
How to access:
- Go to the solutions page for Chapter 6 Exercise 6.1.
- Look for a prominent PDF download button.
- Click to instantly download and save for offline study and revision.
4. What type of questions are asked from Triangles in the Class 10 board exam?
In the CBSE Class 10 board exam, Triangles (Chapter 6) commonly includes questions on similarity, theorem application, and proofs.
Frequently asked question types:
- Statement and proof of the Basic Proportionality Theorem and other triangle theorems
- Questions based on applying BPT to find unknown segment lengths
- Similarity criteria (AA, SSS, SAS) problem-solving
- Diagram-based MCQs and case-based proofs
- Board pattern short and long answer questions focused on stepwise geometry reasoning
5. How many exercises are there in Chapter 6 (Triangles) of NCERT Maths Class 10?
NCERT Chapter 6 (Triangles) in Class 10 Maths has a total of 5 exercises (6.1 to 6.5) as per the 2025 CBSE syllabus.
Exercise breakdown:
- Exercise 6.1: Basic Proportionality Theorem (BPT)
- Exercise 6.2: Criteria for Similarity of Triangles
- Exercise 6.3: Application of Similarity
- Exercise 6.4: Advanced proofs and theorems
- Exercise 6.5: Mixed and board exam-style problems
6. What are some tips for scoring full marks in triangle proof questions?
To score full marks in triangle proof questions in CBSE board exams, follow these steps:
Exam tips:
- Always write theorem statements (e.g., BPT) before applying them.
- Draw clear, labelled diagrams for each proof.
- Present each step logically, justifying with reasons (e.g., why lines are parallel, congruent, etc.).
- Highlight key formulas and ratio relationships.
- Double-check calculations and proportion setups.
- Use correct geometric terminology as in the NCERT solutions.
7. What is the Basic Proportionality Theorem (BPT) in Class 10 Maths?
The Basic Proportionality Theorem (BPT), also known as Thales' Theorem, states:
“If a line is drawn parallel to one side of a triangle, intersecting the other two sides, then it divides those sides in the same proportion.”
Key points:
- Fundamental for similarity of triangles
- Used in Exercise 6.1 for solving proportionality-based questions
- Frequently appears in exams and proofs
8. What is the difference between triangle similarity and congruence?
Triangle similarity means two triangles have the same shape but not necessarily the same size – their corresponding angles are equal, and sides are in proportion. Triangle congruence means both shape and size are identical.
Summary of differences:
- Similarity: ∠A = ∠A', ∠B = ∠B', ∠C = ∠C', but sides are proportional
- Congruence: All angles and all sides exactly equal
9. What are the exam weightage and study time for Triangles (Class 10 Maths Chapter 6)?
As per the CBSE 2025 syllabus, Triangles (Chapter 6) carries about 8 out of 80 marks in the Class 10 board exam.
Study guide:
- Estimated revision time: 5–7 hours including all exercises and proofs
- Practice frequently asked theorem proofs and application questions
- Use revision notes and PDF solutions for efficient recall
10. Why use Vedantu's NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1?
Vedantu’s NCERT Solutions for Chapter 6 Exercise 6.1 offer stepwise, exam-aligned answers prepared by CBSE experts.
Benefits include:
- Strict alignment with latest CBSE Syllabus 2025
- Step-by-step proofs and clarity in every theorem application
- Instant PDF download for offline study and revision
- Trusted by lakhs of students for board success
- Frequent updates and syllabus compliance
