Assertion and Reason Questions for Class 9 Maths Chapter 6 Lines and Angles

Here we are providing assertion reason questions for class 9 maths. In this article, we are covering assertion reason questions for class 9 Maths Chapter 6 Lines and Angles. Solutions are also provided. Students are suggested to solve the questions by themselves. After completing all questions, refer to answers and solutions for better understanding.

Assertion and Reason Questions for Class 9 Maths Chapter 6 Lines and Angles

Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
(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.

Q.1. Assertion : Sum of the pair of angles 120° and 60° is supplementary.
Reason: Two angles, the sum of whose measures is 180°, are called supplementary angles.

Answer

Answer: (a)

Q.2. Assertion: The angles of a triangle are in the ratio 2:3: 4. The largest angle of the triangle is 80°.
Reason: The sum of all the interior angles of a triangle is 180°

Answer

Answer: (a)

Q.3. Assertion : If angles ‘a’ and ‘b’ form a linear pair of angles and a = 40°, then b = 150°.
Reason: Sum of linear pair of angles is always 180°.

Answer

Answer: (d)

Q.4. Assertion: In the given figure, AOB is a straight line. If ∠AOC = (3x + 10)° and ∠BOC (4x – 26)°, then ∠BOC = 86⁰
Reason: The sum of angles that are formed on a straight line is equal to 180°

Answer

Answer: (a)

Q.5. Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5:4, then the greater of the two angles is 100⁰
Reason: If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 180⁰

Answer

Answer: (a)

Q.6. Assertion : An angle is 14º more than its complementary angle, then angle is 52º.
Reason: Two angles are said to be supplementary if their sum of measure of angles is 180°

Answer

Answer: (b)

Q.7. Assertion : Supplement of angle is one fourth of itself. The measure of the angle is 144⁰
Reason: Two angles are said to be supplementary if their sum of measure of angles is 180⁰

Answer

Answer: (a)

Q.8. Assertion: The value of x from the adjoining figure, if ℓ || m is 15º.
Reason: If two parallel lines are intersected by a transversal, then each pair of corresponding angles so formed is equal.

Answer

Answer: (b)

Q.9. Assertion : If two internal opposite angles of a triangle are equal and external angle is given to be 110°, then each of the equal internal angle is 55⁰.
Reason: A triangle with one of its angle 90⁰, is called a right triangle

Answer

Answer: (b)

Q.10. Assertion : A triangle can have two obtuse angles.
Reason: The sum of all the interior angles of a triangle is 180°

Answer

Answer: (d)

Q.11. Assertion : The angles of a triangle are in the ration 3:5:7. The triangle is acute-angled
Reason: The sum of angles that are formed on a straight line is equal to 180°.

Answer

Answer: (b)

What are Assertion Reason Questions?

Certainly, Assertion Reason questions are a specific kind of questions often found in tests, especially in subjects like science and logic. In these questions, there are two statements: one is the Assertion (a statement) and the other is the Reason (an explanation). Your job is to see how these two statements relate to each other and decide if they are both correct or not.

Here’s a breakdown of the structure of an Assertion Reason question:

Assertion: The Assertion is a statement presented as a fact or claim. It may be true or false, and it is typically written in a straightforward manner.
Reason: The Reason is a statement that provides an explanation or justification for the Assertion. It can support or challenge the Assertion, depending on the accuracy of the Reasoning provided.
Options: Multiple options are typically provided alongside the Assertion Reason pair. The test-taker must choose the correct option that reflects the logical relationship between the Assertion and the Reason.

The possible options typically include:

a) If both the Assertion and the Reason are true, and the Reason is a correct explanation of the Assertion.

b) If both the Assertion and the Reason are true, but the Reason is not a correct explanation of the Assertion.

c) If the Assertion is true, but the Reason is false.

d) If the Assertion is false, but the Reason is true.

e) If both the Assertion and the Reason are false.

To answer Assertion Reason questions correctly, the test-taker needs to analyze the accuracy and logical connection between the two statements. It requires critical thinking, reasoning abilities, and a thorough understanding of the subject matter.

It is important to note that Assertion Reason questions can be challenging, as the test-taker needs to evaluate both statements independently and then determine the relationship between them. Careful reading, logical reasoning, and knowledge of the subject are essential for accurately answering such questions.

Preparation Tips to Score More in Assertion Reason Questions for Class 9 Maths

Assertion-reasoning questions can be daunting for CBSE students as they demand a deeper grasp and analytical thinking compared to regular multiple-choice queries. Such questions have two parts: an assertion and a reason. Students must decide if both are true and if the reason supports the assertion.

These questions go beyond rote knowledge, needing understanding of connections between facts. Fear might arise if students lack confidence in analyzing and judging the data. Also, their significant marks can intensify exam pressure.

However, with practice and a solid understanding of the concepts, students can overcome their fear of assertion-reasoning questions and perform well on their exams. It is important for students to read the questions carefully, understand the meaning of each statement, and analyze the relationship between the two statements before selecting their answer.

Preparing for assertion-reasoning questions can be challenging, but by adopting effective strategies, you can enhance your abilities and excel in exams. Here’s how you can prepare:

Understand the Concepts
Practice Regularly
Develop Analytical Skills
Take Notes
Seek Help

By following these strategies and putting in the effort to practice, you can improve your skills and perform well on assertion-reasoning questions.

Frequently Asked Questions (FAQs)

What is a line segment?

A line segment is a part of a line with two end-points.

What do you mean by perpendicular lines?

When two lines cut each other at right angle, then lines are called perpendicular lines.

What do you mean by parallel lines?

Two lines are said to be parallel when they do not meet at any point or which do not intersects each other.

What is a transversal line?

When a line intersects two lines at distinct points, it is called a transversal.

What do you mean by collinear points?

Collinear points are a set of points (3 or more) which lie on the same line.

What do you mean by ray?

A ray is a part of a line, which has a starting point and extends infinitely in one direction.

What do you mean by acute angle?

If the inclination between the arms is less than a right angle, it is called an acute angle.

What do you mean by obtuse angle?

If the inclination between the arms is more than a right angle, it is called an obtuse angle.

What do you mean by right angle?

If the arms form an angle of 90 degrees between them, it is called a right angle.

What do you mean by complementary angles?

Two angles whose sum is equal to 90 degrees are called complementary angles.

What do you mean by Supplementary Angles?

Two angles whose sum is equal to 180 degrees are called supplementary angles.

What do you mean by adjacent angles?

Two angles which have a common side and a common vertex are called adjacent angles.

What do you mean by vertically opposite angles?

Two angles which are formed, opposite to each other, when two lines intersect at a point or vertex, are called vertically opposite angles.

Assertion and Reason Questions for Class 9 Maths Chapter 6 Lines and Angles

Frequently Asked Questions (FAQs)

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