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Read the given statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The sum of the angles in any quadrilateral is 360 degrees.
(ii) A triangle can have more than one obtuse angle.
(iii) The diagonals of a parallelogram bisect each other.
(ii) A triangle can have more than one obtuse angle.
(iii) The diagonals of a parallelogram bisect each other.
- a)(i)-T, (ii)-F, (iii)-T
- b)(i)-F, (ii)-F, (iii)-T
- c)(i)-T, (ii)-T, (iii)-F
- d)(i)-T, (ii)-F, (iii)-F
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Read the given statements carefully and state ‘T’ for true...
(i) True: The sum of the angles in any quadrilateral is 360 degrees.
(ii) False: A triangle cannot have more than one obtuse angle because the sum of the angles in a triangle is 180 degrees, and having two obtuse angles would exceed this sum.
(iii) True: The diagonals of a parallelogram bisect each other.
(ii) False: A triangle cannot have more than one obtuse angle because the sum of the angles in a triangle is 180 degrees, and having two obtuse angles would exceed this sum.
(iii) True: The diagonals of a parallelogram bisect each other.
Most Upvoted Answer
Read the given statements carefully and state ‘T’ for true...
Understanding the Statements
To determine the truth value of each statement, let's analyze them one by one.
Statement (i): The sum of the angles in any quadrilateral is 360 degrees.
- This statement is **True**.
- In any quadrilateral, the interior angles add up to 360 degrees. This can be derived from the fact that a quadrilateral can be divided into two triangles, each having a total angle sum of 180 degrees (180 + 180 = 360).
Statement (ii): A triangle can have more than one obtuse angle.
- This statement is **False**.
- A triangle can have only one obtuse angle (greater than 90 degrees) because the sum of all angles in a triangle is 180 degrees. If there were two obtuse angles, their sum would exceed 180 degrees, which is impossible in a triangle.
Statement (iii): The diagonals of a parallelogram bisect each other.
- This statement is **True**.
- In a parallelogram, the diagonals do indeed bisect each other, meaning they cut each other into two equal parts. This property is a defining characteristic of parallelograms.
Conclusion
Based on the analysis:
- (i) is True (T)
- (ii) is False (F)
- (iii) is True (T)
Thus, the correct answer is option 'A': (i) - T, (ii) - F, (iii) - T.
To determine the truth value of each statement, let's analyze them one by one.
Statement (i): The sum of the angles in any quadrilateral is 360 degrees.
- This statement is **True**.
- In any quadrilateral, the interior angles add up to 360 degrees. This can be derived from the fact that a quadrilateral can be divided into two triangles, each having a total angle sum of 180 degrees (180 + 180 = 360).
Statement (ii): A triangle can have more than one obtuse angle.
- This statement is **False**.
- A triangle can have only one obtuse angle (greater than 90 degrees) because the sum of all angles in a triangle is 180 degrees. If there were two obtuse angles, their sum would exceed 180 degrees, which is impossible in a triangle.
Statement (iii): The diagonals of a parallelogram bisect each other.
- This statement is **True**.
- In a parallelogram, the diagonals do indeed bisect each other, meaning they cut each other into two equal parts. This property is a defining characteristic of parallelograms.
Conclusion
Based on the analysis:
- (i) is True (T)
- (ii) is False (F)
- (iii) is True (T)
Thus, the correct answer is option 'A': (i) - T, (ii) - F, (iii) - T.
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Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The sum of the angles in any quadrilateral is 360 degrees.(ii) A triangle can have more than one obtuse angle.(iii) The diagonals of a parallelogram bisect each other.a)(i)-T, (ii)-F, (iii)-Tb)(i)-F, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-T, (ii)-F, (iii)-FCorrect answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The sum of the angles in any quadrilateral is 360 degrees.(ii) A triangle can have more than one obtuse angle.(iii) The diagonals of a parallelogram bisect each other.a)(i)-T, (ii)-F, (iii)-Tb)(i)-F, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-T, (ii)-F, (iii)-FCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The sum of the angles in any quadrilateral is 360 degrees.(ii) A triangle can have more than one obtuse angle.(iii) The diagonals of a parallelogram bisect each other.a)(i)-T, (ii)-F, (iii)-Tb)(i)-F, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-T, (ii)-F, (iii)-FCorrect answer is option 'A'. Can you explain this answer?.
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The sum of the angles in any quadrilateral is 360 degrees.(ii) A triangle can have more than one obtuse angle.(iii) The diagonals of a parallelogram bisect each other.a)(i)-T, (ii)-F, (iii)-Tb)(i)-F, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-T, (ii)-F, (iii)-FCorrect answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The sum of the angles in any quadrilateral is 360 degrees.(ii) A triangle can have more than one obtuse angle.(iii) The diagonals of a parallelogram bisect each other.a)(i)-T, (ii)-F, (iii)-Tb)(i)-F, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-T, (ii)-F, (iii)-FCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The sum of the angles in any quadrilateral is 360 degrees.(ii) A triangle can have more than one obtuse angle.(iii) The diagonals of a parallelogram bisect each other.a)(i)-T, (ii)-F, (iii)-Tb)(i)-F, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-T, (ii)-F, (iii)-FCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The sum of the angles in any quadrilateral is 360 degrees.(ii) A triangle can have more than one obtuse angle.(iii) The diagonals of a parallelogram bisect each other.a)(i)-T, (ii)-F, (iii)-Tb)(i)-F, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-T, (ii)-F, (iii)-FCorrect 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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Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The sum of the angles in any quadrilateral is 360 degrees.(ii) A triangle can have more than one obtuse angle.(iii) The diagonals of a parallelogram bisect each other.a)(i)-T, (ii)-F, (iii)-Tb)(i)-F, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-T, (ii)-F, (iii)-FCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The sum of the angles in any quadrilateral is 360 degrees.(ii) A triangle can have more than one obtuse angle.(iii) The diagonals of a parallelogram bisect each other.a)(i)-T, (ii)-F, (iii)-Tb)(i)-F, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-T, (ii)-F, (iii)-FCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The sum of the angles in any quadrilateral is 360 degrees.(ii) A triangle can have more than one obtuse angle.(iii) The diagonals of a parallelogram bisect each other.a)(i)-T, (ii)-F, (iii)-Tb)(i)-F, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-T, (ii)-F, (iii)-FCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The sum of the angles in any quadrilateral is 360 degrees.(ii) A triangle can have more than one obtuse angle.(iii) The diagonals of a parallelogram bisect each other.a)(i)-T, (ii)-F, (iii)-Tb)(i)-F, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-T, (ii)-F, (iii)-FCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 9 tests.
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