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Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.
Assertion : ABCD is a square. AC and BD intersect at O. The measure of ∠AOB = 90º.
Reason : Diagonals of a square bisect each other at right angles.
- 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.
Correct answer is option 'A'. Can you explain this answer?
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Direction: In each of the following questions, a statement of Asserti...
Since, diagonals of a square bisect each other at right angles.
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∠AOB = 90º
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Direction: In each of the following questions, a statement of Asserti...
Assertion and Reasoning
Assertion: ABCD is a square. AC and BD intersect at O. The measure of ∠AOB = 90º.
Reason: Diagonals of a square bisect each other at right angles.
The correct option is A) Assertion and reason are true and reason is the correct explanation of assertion.
Explanation
A square is a four-sided polygon with equal sides and four right angles. The diagonals of a square bisect each other at right angles, dividing the square into four congruent right triangles.
In the given assertion, ABCD is a square, and AC and BD intersect at O. Therefore, the diagonals of the square intersect at O. Since a square is a special case of a rectangle, the diagonals of a square also bisect each other. Hence, O is the midpoint of both AC and BD.
The measure of ∠AOB is 90º because ∠AOB is an angle formed by the intersection of the diagonals of a square. As the diagonals of a square bisect each other at right angles, ∠AOB is a right angle.
Therefore, the reason given in the statement is correct and explains the assertion correctly. Hence, the correct option is A) Assertion and reason are true and reason is the correct explanation of assertion.
Assertion: ABCD is a square. AC and BD intersect at O. The measure of ∠AOB = 90º.
Reason: Diagonals of a square bisect each other at right angles.
The correct option is A) Assertion and reason are true and reason is the correct explanation of assertion.
Explanation
A square is a four-sided polygon with equal sides and four right angles. The diagonals of a square bisect each other at right angles, dividing the square into four congruent right triangles.
In the given assertion, ABCD is a square, and AC and BD intersect at O. Therefore, the diagonals of the square intersect at O. Since a square is a special case of a rectangle, the diagonals of a square also bisect each other. Hence, O is the midpoint of both AC and BD.
The measure of ∠AOB is 90º because ∠AOB is an angle formed by the intersection of the diagonals of a square. As the diagonals of a square bisect each other at right angles, ∠AOB is a right angle.
Therefore, the reason given in the statement is correct and explains the assertion correctly. Hence, the correct option is A) Assertion and reason are true and reason is the correct explanation of assertion.
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Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.Assertion : ABCD is a square. AC and BD intersect at O. The measure of ∠AOB = 90º.Reason : Diagonals of a square bisect each other at right angles.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.Correct answer is option 'A'. Can you explain this answer?
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Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.Assertion : ABCD is a square. AC and BD intersect at O. The measure of ∠AOB = 90º.Reason : Diagonals of a square bisect each other at right angles.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.Correct answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.Assertion : ABCD is a square. AC and BD intersect at O. The measure of ∠AOB = 90º.Reason : Diagonals of a square bisect each other at right angles.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.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.Assertion : ABCD is a square. AC and BD intersect at O. The measure of ∠AOB = 90º.Reason : Diagonals of a square bisect each other at right angles.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.Correct answer is option 'A'. Can you explain this answer?.
Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.Assertion : ABCD is a square. AC and BD intersect at O. The measure of ∠AOB = 90º.Reason : Diagonals of a square bisect each other at right angles.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.Correct answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.Assertion : ABCD is a square. AC and BD intersect at O. The measure of ∠AOB = 90º.Reason : Diagonals of a square bisect each other at right angles.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.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.Assertion : ABCD is a square. AC and BD intersect at O. The measure of ∠AOB = 90º.Reason : Diagonals of a square bisect each other at right angles.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.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.Assertion : ABCD is a square. AC and BD intersect at O. The measure of ∠AOB = 90º.Reason : Diagonals of a square bisect each other at right angles.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.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
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