Assertion and Reason Questions for Class 9 Maths Chapter 8 Quadrilaterals

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 8 Quadrilaterals. 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 Quadrilaterals

Directions:
(a) Assertion and reason are true and reason is the correct explanation of assertion.
(b) Both assertion and reason are true but reason is not the correct explanation of assertion.
(c) Assertion is true but reason is false.
(d) Assertion is false but reason is true.

Q.1. Assertion : The angles of a quadrilateral are x0, (x – 10)0, (x + 30)0 and (2x)0, the smallest angle is equal to 580.
Reason : Sum of the angles of a quadrilateral is 3600.

Answer Answer: (a)

Q.2. Assertion : If the diagonals of a parallelogram ABCD are equal, then ∠ABC = 900.
Reason : If the diagonals of a parallelogram are equal, it becomes a rectangle.

Answer Answer: (a)

Q.3. Assertion : A parallelogram consists of two congruent triangles.
Reason : Diagonal of a parallelogram divides it into two congruent triangles.

Answer Answer: (a)

Q.4. Assertion : ABCD is a square. AC and BD intersect at O. The measure of ∠ABC = 900.
Reason : Diagonals of a square bisect each other at right angles.

Answer Answer: (a) Since, diagonals of a square bisect each other at right angles.

Q.5. Assertion : ABCD and PQRC are rectangles and Q is a midpoint of AC . Then DP = PC.

Reason : The line segment joining the midpoint of any two sides of a triangle is parallel to the third side and equal to half of it.

Answer Answer: (b)

Q.6. Assertion : In ΔABC , median AD is produced to X such that AD DX = . Then ABXC is a parallelogram.
Reason : Diagonals AX and BC bisect each other at right angles

Answer Answer: (c)

Q.7. Assertion : The consecutive sides of a quadrilateral have one common point.
Reason : The opposite sides of a quadrilateral have two common point

Answer Answer: (c)

Q.8. Assertion : Two opposite angles of a parallelogram are (3x-2)0 and (50-x)0. The measure of one of the angle is 370.
Reason : Opposite angles of a parallelogram are equal.

Answer Answer: (a) Hint: Since, opposite angles of a parallelogram are equal.

Q.9. Assertion : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 400, 600, 1400 1200, respectively.
Reason : The sum of the angles of a quadrilateral is 3600.

Answer Answer: (a)

Q.10. Assertion : In ΔABC , E and F are the midpoints of AC and AB respectively. The altitude AP at BC intersects FE at Q. Then, AQ = QP.
Reason : Q is the midpoint of AP.

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:

  1. 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.
  2. 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.
  3. 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:

  1. Understand the Concepts
  2. Practice Regularly
  3. Develop Analytical Skills
  4. Take Notes
  5. 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.

(1) CBSE BOOKS

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