Hello students, we are providing assertion reason questions for class 10. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 10 maths. In this article, you will find assertion reason questions for CBSE Class 10 Maths Chapter 6 Triangles. It is a part of Assertion Reason Questions for CBSE Class 10 Maths Series.
| Chapter | Triangles |
| Type of Questions | Assertion Reason Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 10 |
| Subject | Maths |
| Useful for | Class 10 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 10 Maths Chapterwise Assertion Reason |
Assertion Reason Questions on Triangles
Assertion and Reason Questions
Directions: Each of the following questions consists of two statements: an Assertion (A) and a Reason (R). Answer them by selecting the correct option:
(a) Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(c) Assertion (A) is true, but Reason (R) is false.
(d) Assertion (A) is false, but Reason (R) is true.
Q1. Assertion (A): In two triangles, if the corresponding sides are proportional and the corresponding angles are equal, then the triangles are congruent.
Reason (R): SAS criterion proves similarity, not congruence.
Answer: Option (c) is correct.
Explanation: Proportional sides and equal angles imply similarity, not necessarily congruence (which requires equal sides).
Difficulty Level: Moderate
Q2. Assertion (A): If in two triangles, one angle of one triangle is equal to one angle of another triangle and the sides including these angles are in the same ratio, then the triangles are similar.
Reason (R): This is the SAS similarity criterion.
Answer: Option (a) is correct.
Explanation: The Side-Angle-Side (SAS) similarity criterion applies when an angle between two proportional sides is equal.
Difficulty Level: Moderate
Q3. Assertion (A): In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Reason (R): This result is a consequence of the Basic Proportionality Theorem.
Answer: Option (c) is correct.
Explanation: The statement is Pythagoras’ Theorem, not related to the Basic Proportionality Theorem (BPT), which deals with line segments in triangles.
Difficulty Level: Tough
Q4. Assertion (A): The Basic Proportionality Theorem states that if a line is drawn parallel to one side of a triangle intersecting the other two sides, it divides those sides in the same ratio.
Reason (R): BPT holds only when the triangle is isosceles.
Answer: Option (c) is correct.
Explanation: BPT is valid for any triangle, not just isosceles ones. The assertion is true, but the reason is false.
Difficulty Level: Moderate
Q5. Assertion (A): If two triangles are similar, then the ratio of their areas is equal to the square of the ratio of their corresponding sides.
Reason (R): Similar triangles have equal corresponding angles and proportional sides.
Answer: Option (a) is correct.
Explanation: The area of similar triangles is proportional to the square of corresponding sides. R correctly supports A.
Difficulty Level: Easy
Also check
- Some Applications of Trigonometry Class 10 Assertion Reason Questions Maths Chapter 9
- Introduction to Trigonometry Class 10 Assertion Reason Questions Maths Chapter 8
- Coordinate Geometry Class 10 Assertion Reason Questions Maths Chapter 7
- Triangles Class 10 Assertion Reason Questions Maths Chapter 6
- Arithmetic Progressions Class 10 Assertion Reason Questions Maths Chapter 5
- Quadratic Equations Class 10 Assertion Reason Questions Maths Chapter 4
- Pair of Linear Equations in Two Variables Class 10 Assertion Reason Questions Maths Chapter 3
- Polynomials Class 10 Assertion Reason Questions Maths Chapter 2
- Real Numbers Class 10 Assertion Reason Questions Maths Chapter 1
Topics from which assertion reason questions may be asked
- Similarity of Triangles
- Pythagoras Theorem
- Area Ratio and Basic Proportionality Theorem
Triangle properties form the base of geometry and trigonometry.
Assertion reason questions from the above given topic may be asked.
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Frequently Asked Questions (FAQs) on Triangles Assertion Reason Questions Class 10
Q1: What does the chapter ‘Triangles’ cover?
A1: It builds key concepts related to triangles and prepares you for logical reasoning-based questions.
Q2: What are assertion reason questions?
A2: These consist of two statements: an assertion and a reason. Students need to determine their correctness and relationship.
Q3: Why practice assertion reason questions in Triangles?
A3: They strengthen core concepts and boost confidence in tackling tricky scenarios from triangles.
Q4: Are assertion reason questions part of CBSE board exams?
A4: Yes, they are included under competency-based formats to test depth of understanding.
