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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 : A parallelogram consists of two congruent triangles.
Reason : Diagonal of a parallelogram divides it into two congruent triangles.
- 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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Verified Answer
Direction: In each of the following questions, a statement of Asserti...
In ΔBAC and ΔDCA
∠1 = ∠2
∠3 = ∠4 [alternate pair]
AC = AC (common)
ΔBAC ≅ ΔDCA (By ASA)
Therefore, diagonal of a parallelogram divides it into two congruent triangles.
Most Upvoted Answer
Direction: In each of the following questions, a statement of Asserti...
In ΔBAC and ΔDCA
∠1 = ∠2
∠3 = ∠4 [alternate pair]
AC = AC (common)
ΔBAC ≅ ΔDCA (By ASA)
Therefore, diagonal of a parallelogram divides it into two congruent triangles.
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Community Answer
Direction: In each of the following questions, a statement of Asserti...
Assertion: A parallelogram consists of two congruent triangles.
Reason: Diagonal of a parallelogram divides it into two congruent triangles.
Explanation:
A parallelogram is a quadrilateral with opposite sides parallel and equal in length.
Parallelogram:
- A parallelogram is a quadrilateral with opposite sides parallel and equal in length.
- In a parallelogram, the opposite sides are congruent and parallel.
- The opposite angles of a parallelogram are congruent.
Diagonal of a parallelogram:
- A diagonal of a parallelogram is a line segment that connects two non-adjacent vertices of the parallelogram.
- A parallelogram has two diagonals that divide it into four triangles.
Diagonals divide a parallelogram into congruent triangles:
- When a diagonal is drawn in a parallelogram, it divides the parallelogram into two congruent triangles.
- The two triangles formed by the diagonal have equal sides and equal angles.
- The diagonal acts as a line of symmetry for the parallelogram.
Reason as the correct explanation of the assertion:
The reason provided is the correct explanation of the assertion. When a diagonal is drawn in a parallelogram, it divides the parallelogram into two congruent triangles. This is because the diagonal creates two pairs of congruent sides (the sides of the parallelogram) and two pairs of congruent angles (the opposite angles of the parallelogram). Therefore, the two triangles formed by the diagonal are congruent to each other.
Conclusion:
Hence, the correct answer is option 'A' - Assertion and reason are true, and the reason is the correct explanation of the assertion. A parallelogram consists of two congruent triangles because the diagonal of a parallelogram divides it into two congruent triangles.
Reason: Diagonal of a parallelogram divides it into two congruent triangles.
Explanation:
A parallelogram is a quadrilateral with opposite sides parallel and equal in length.
Parallelogram:
- A parallelogram is a quadrilateral with opposite sides parallel and equal in length.
- In a parallelogram, the opposite sides are congruent and parallel.
- The opposite angles of a parallelogram are congruent.
Diagonal of a parallelogram:
- A diagonal of a parallelogram is a line segment that connects two non-adjacent vertices of the parallelogram.
- A parallelogram has two diagonals that divide it into four triangles.
Diagonals divide a parallelogram into congruent triangles:
- When a diagonal is drawn in a parallelogram, it divides the parallelogram into two congruent triangles.
- The two triangles formed by the diagonal have equal sides and equal angles.
- The diagonal acts as a line of symmetry for the parallelogram.
Reason as the correct explanation of the assertion:
The reason provided is the correct explanation of the assertion. When a diagonal is drawn in a parallelogram, it divides the parallelogram into two congruent triangles. This is because the diagonal creates two pairs of congruent sides (the sides of the parallelogram) and two pairs of congruent angles (the opposite angles of the parallelogram). Therefore, the two triangles formed by the diagonal are congruent to each other.
Conclusion:
Hence, the correct answer is option 'A' - Assertion and reason are true, and the reason is the correct explanation of the assertion. A parallelogram consists of two congruent triangles because the diagonal of a parallelogram divides it into two congruent triangles.
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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 : A parallelogram consists of two congruent triangles.Reason : Diagonal of a parallelogram divides it into two congruent triangles.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 : A parallelogram consists of two congruent triangles.Reason : Diagonal of a parallelogram divides it into two congruent triangles.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 : A parallelogram consists of two congruent triangles.Reason : Diagonal of a parallelogram divides it into two congruent triangles.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 : A parallelogram consists of two congruent triangles.Reason : Diagonal of a parallelogram divides it into two congruent triangles.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 : A parallelogram consists of two congruent triangles.Reason : Diagonal of a parallelogram divides it into two congruent triangles.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 : A parallelogram consists of two congruent triangles.Reason : Diagonal of a parallelogram divides it into two congruent triangles.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 : A parallelogram consists of two congruent triangles.Reason : Diagonal of a parallelogram divides it into two congruent triangles.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 : A parallelogram consists of two congruent triangles.Reason : Diagonal of a parallelogram divides it into two congruent triangles.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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