Banking Exams Exam > Banking Exams Questions > ABCD is a quadrilateral. If AC and BD bisect ... Start Learning for Free
ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can be?
- a)A square
- b)A parallelogram
- c)A rectangle
- d)All the above
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can...
Explanation:
- When AC and BD bisect each other, it means that they intersect at their midpoints.
- If a quadrilateral has diagonals that bisect each other, it must be a parallelogram.
- All squares are parallelograms because they have opposite sides that are parallel, so a square is a special type of parallelogram.
- Similarly, all rectangles are parallelograms because they also have opposite sides that are parallel, so a rectangle is a special type of parallelogram.
- Therefore, if AC and BD bisect each other, the quadrilateral ABCD can be a square, a parallelogram, or a rectangle, making the correct answer D: All of the above.
Most Upvoted Answer
ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can...
Explanation:
When AC and BD bisect each other, it means that they divide the quadrilateral into four equal parts. Let's look at the properties of each type of quadrilateral to determine which ones can be bisected by their diagonals.
Square:
A square is a special type of rectangle with all sides equal. It also has perpendicular diagonals that bisect each other.
Rectangle:
A rectangle has opposite sides equal and parallel, and perpendicular diagonals that bisect each other.
Parallelogram:
A parallelogram has opposite sides equal and parallel, but its diagonals do not necessarily bisect each other.
Therefore, if AC and BD bisect each other, the quadrilateral must be a rectangle or a square. However, a square is also a special type of rectangle, so the correct answer is d) all of the above.
When AC and BD bisect each other, it means that they divide the quadrilateral into four equal parts. Let's look at the properties of each type of quadrilateral to determine which ones can be bisected by their diagonals.
Square:
A square is a special type of rectangle with all sides equal. It also has perpendicular diagonals that bisect each other.
Rectangle:
A rectangle has opposite sides equal and parallel, and perpendicular diagonals that bisect each other.
Parallelogram:
A parallelogram has opposite sides equal and parallel, but its diagonals do not necessarily bisect each other.
Therefore, if AC and BD bisect each other, the quadrilateral must be a rectangle or a square. However, a square is also a special type of rectangle, so the correct answer is d) all of the above.
Free Test
FREE
| Start Free Test |
Community Answer
ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can...
The answer is all of these because all the three have a transversal.Opposite sides are also parallel
 | Explore Courses for Banking Exams exam |  |
Top Courses for Banking ExamsView all
Top Courses for Banking Exams
Question Description
ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can be?a)A squareb)A parallelogramc)A rectangled)All the aboveCorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2026 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can be?a)A squareb)A parallelogramc)A rectangled)All the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can be?a)A squareb)A parallelogramc)A rectangled)All the aboveCorrect answer is option 'D'. Can you explain this answer?.
ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can be?a)A squareb)A parallelogramc)A rectangled)All the aboveCorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2026 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can be?a)A squareb)A parallelogramc)A rectangled)All the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can be?a)A squareb)A parallelogramc)A rectangled)All the aboveCorrect answer is option 'D'. Can you explain this answer?.
Solutions for ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can be?a)A squareb)A parallelogramc)A rectangled)All the aboveCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams. Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
Here you can find the meaning of ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can be?a)A squareb)A parallelogramc)A rectangled)All the aboveCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can be?a)A squareb)A parallelogramc)A rectangled)All the aboveCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can be?a)A squareb)A parallelogramc)A rectangled)All the aboveCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can be?a)A squareb)A parallelogramc)A rectangled)All the aboveCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice ABCD is a quadrilateral. If AC and BD bisect each other, what ABCD can be?a)A squareb)A parallelogramc)A rectangled)All the aboveCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
| Explore Courses for Banking Exams exam | |
Top Courses for Banking Exams
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
