Class 9 Exam > Class 9 Questions > If the sum of a pair of opposite angles of a ...
Start Learning for Free
If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:
- a)square
- b)Rhombus
- c)Parallelogram
- d)Cyclic
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If the sum of a pair of opposite angles of a quadrilateral is 180o, th...
Opposite angles in a quadrilateral
A quadrilateral is a polygon with four sides and four angles. In any quadrilateral, there are two pairs of opposite angles - angles that are across from each other and do not share a side. The sum of these two opposite angles is 180 degrees.
Explanation of the options
Let's analyze each option to determine which one satisfies the given condition.
Square:
A square is a quadrilateral with all four sides equal in length and all four angles equal to 90 degrees. In a square, opposite angles are equal, but their sum is not 180 degrees. Therefore, a square does not meet the given condition.
Rhombus:
A rhombus is a quadrilateral with all four sides equal in length, but its angles can vary. In a rhombus, opposite angles are not necessarily equal, and their sum is not always 180 degrees. Therefore, a rhombus does not meet the given condition.
Parallelogram:
A parallelogram is a quadrilateral with opposite sides parallel and equal in length. In a parallelogram, opposite angles are equal, but their sum is not necessarily 180 degrees. Therefore, a parallelogram does not meet the given condition.
Cyclic:
A cyclic quadrilateral is a quadrilateral that can be inscribed in a circle. In a cyclic quadrilateral, opposite angles are supplementary, which means their sum is always 180 degrees. Therefore, a cyclic quadrilateral satisfies the given condition.
Conclusion
Based on the analysis, the only option that meets the condition of having opposite angles with a sum of 180 degrees is a cyclic quadrilateral. Therefore, the correct answer is option 'D'.
Free Test
FREE
| Start Free Test |
Community Answer
If the sum of a pair of opposite angles of a quadrilateral is 180o, th...
A quadrilateral is called cyclic if all the four vertices of it lie on a circle and the sum of either pair of opposite angles of a cyclic quadrilateral is 180∘.
Here,∠1+∠2=180∘
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:a)squareb)Rhombusc)Parallelogramd)CyclicCorrect answer is option 'D'. Can you explain this answer?
Question Description
If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:a)squareb)Rhombusc)Parallelogramd)CyclicCorrect answer is option 'D'. 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 If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:a)squareb)Rhombusc)Parallelogramd)CyclicCorrect answer is option 'D'. 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 If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:a)squareb)Rhombusc)Parallelogramd)CyclicCorrect answer is option 'D'. Can you explain this answer?.
If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:a)squareb)Rhombusc)Parallelogramd)CyclicCorrect answer is option 'D'. 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 If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:a)squareb)Rhombusc)Parallelogramd)CyclicCorrect answer is option 'D'. 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 If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:a)squareb)Rhombusc)Parallelogramd)CyclicCorrect answer is option 'D'. Can you explain this answer?.
Solutions for If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:a)squareb)Rhombusc)Parallelogramd)CyclicCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:a)squareb)Rhombusc)Parallelogramd)CyclicCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:a)squareb)Rhombusc)Parallelogramd)CyclicCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:a)squareb)Rhombusc)Parallelogramd)CyclicCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:a)squareb)Rhombusc)Parallelogramd)CyclicCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:a)squareb)Rhombusc)Parallelogramd)CyclicCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup