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Read the following statements carefully and select the correct option.
Statement-I: The diagonals of a rhombus bisect each other at right angles.
Statement-II: The diagonals of a parallelogram are equal.
Statement-II: The diagonals of a parallelogram are equal.
- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Read the following statements carefully and select the correct option....
The diagonals of a rhombus do indeed bisect each other at right angles, making Statement-I true. However, the diagonals of a parallelogram are not necessarily equal; they bisect each other but can be of different lengths, making Statement-II false.
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Read the following statements carefully and select the correct option....
Explanation:
Statement-I:
- The statement is true. In a rhombus, the diagonals bisect each other at right angles. This property is unique to rhombuses.
- When the diagonals of a rhombus intersect, they form right angles at the point of intersection. This can be proven using the properties of rhombuses.
Statement-II:
- The statement is false. In a parallelogram, the diagonals are not necessarily equal in length.
- The diagonals of a parallelogram only bisect each other, meaning they divide each other into two equal parts. However, their lengths may not be the same.
- This property of parallelograms can be easily demonstrated through the construction of various parallelograms.
Therefore, option 'A' is correct as Statement-I is true, but Statement-II is false.
Statement-I:
- The statement is true. In a rhombus, the diagonals bisect each other at right angles. This property is unique to rhombuses.
- When the diagonals of a rhombus intersect, they form right angles at the point of intersection. This can be proven using the properties of rhombuses.
Statement-II:
- The statement is false. In a parallelogram, the diagonals are not necessarily equal in length.
- The diagonals of a parallelogram only bisect each other, meaning they divide each other into two equal parts. However, their lengths may not be the same.
- This property of parallelograms can be easily demonstrated through the construction of various parallelograms.
Therefore, option 'A' is correct as Statement-I is true, but Statement-II is false.
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Read the following statements carefully and select the correct option.Statement-I: The diagonals of a rhombus bisect each other at right angles.Statement-II: The diagonals of a parallelogram are equal.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'A'. Can you explain this answer?
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Read the following statements carefully and select the correct option.Statement-I: The diagonals of a rhombus bisect each other at right angles.Statement-II: The diagonals of a parallelogram are equal.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.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 Read the following statements carefully and select the correct option.Statement-I: The diagonals of a rhombus bisect each other at right angles.Statement-II: The diagonals of a parallelogram are equal.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.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 Read the following statements carefully and select the correct option.Statement-I: The diagonals of a rhombus bisect each other at right angles.Statement-II: The diagonals of a parallelogram are equal.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'A'. Can you explain this answer?.
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Read the following statements carefully and select the correct option.Statement-I: The diagonals of a rhombus bisect each other at right angles.Statement-II: The diagonals of a parallelogram are equal.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Read the following statements carefully and select the correct option.Statement-I: The diagonals of a rhombus bisect each other at right angles.Statement-II: The diagonals of a parallelogram are equal.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Read the following statements carefully and select the correct option.Statement-I: The diagonals of a rhombus bisect each other at right angles.Statement-II: The diagonals of a parallelogram are equal.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Read the following statements carefully and select the correct option.Statement-I: The diagonals of a rhombus bisect each other at right angles.Statement-II: The diagonals of a parallelogram are equal.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 9 tests.
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