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What do you call a parallelogram which has equal diagonals?
- a)A trapezium
- b)A rectangle
- c)A rhombus
- d)A kite
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What do you call a parallelogram which has equal diagonals?a)A trapezi...
A parallelogram which has equal diagonals are called rectangle. Trapezium, rhombus and kite does not contain equal diagonal.
Proof for rectangle contains equal diagonals are given below :-
Proof for rectangle contains equal diagonals are given below :-
⇒ In given figure ABCD is a rectangle.
⇒ In △ABC and △DCB
⇒ BC = CB [Common]
⇒ AB = DC [Opposite sides of rectangle]
⇒ ∠ABC = ∠DCA = 90∘ [Each angle of rectangle is 90∘]
⇒ △ABC ≅ △DCB [By SAS property]
∴ AC = BD [By CPCT]
Most Upvoted Answer
What do you call a parallelogram which has equal diagonals?a)A trapezi...
Explanation:
A parallelogram is a four-sided figure in which opposite sides are parallel. It has two pairs of opposite sides that are equal in length. The diagonals of a parallelogram intersect at the midpoint of each other.
When the diagonals of a parallelogram are equal, it is called a rectangle.
Characteristics of a rectangle:
- It is a special case of a parallelogram.
- It has four right angles.
- Opposite sides are parallel and equal in length.
- Diagonals are equal in length and bisect each other.
- Its area is the product of its length and width.
Why other options are not correct?
a) A trapezium: A trapezium has one pair of opposite sides parallel. So, it cannot be a rectangle.
c) A rhombus: A rhombus has all sides equal in length, but its diagonals are not necessarily equal. Therefore, it cannot be a rectangle.
d) A kite: A kite has two pairs of adjacent sides which are equal, but its diagonals are not necessarily equal. Therefore, it cannot be a rectangle.
Conclusion:
A rectangle is a special type of parallelogram in which diagonals are equal in length. It has four right angles and opposite sides are parallel and equal in length.
A parallelogram is a four-sided figure in which opposite sides are parallel. It has two pairs of opposite sides that are equal in length. The diagonals of a parallelogram intersect at the midpoint of each other.
When the diagonals of a parallelogram are equal, it is called a rectangle.
Characteristics of a rectangle:
- It is a special case of a parallelogram.
- It has four right angles.
- Opposite sides are parallel and equal in length.
- Diagonals are equal in length and bisect each other.
- Its area is the product of its length and width.
Why other options are not correct?
a) A trapezium: A trapezium has one pair of opposite sides parallel. So, it cannot be a rectangle.
c) A rhombus: A rhombus has all sides equal in length, but its diagonals are not necessarily equal. Therefore, it cannot be a rectangle.
d) A kite: A kite has two pairs of adjacent sides which are equal, but its diagonals are not necessarily equal. Therefore, it cannot be a rectangle.
Conclusion:
A rectangle is a special type of parallelogram in which diagonals are equal in length. It has four right angles and opposite sides are parallel and equal in length.
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Community Answer
What do you call a parallelogram which has equal diagonals?a)A trapezi...
It is B because the opposite sides and angles are equals.. so their diagonals are also equal..
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What do you call a parallelogram which has equal diagonals?a)A trapeziumb)A rectanglec)A rhombusd)A kiteCorrect answer is option 'B'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about What do you call a parallelogram which has equal diagonals?a)A trapeziumb)A rectanglec)A rhombusd)A kiteCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What do you call a parallelogram which has equal diagonals?a)A trapeziumb)A rectanglec)A rhombusd)A kiteCorrect answer is option 'B'. Can you explain this answer?.
What do you call a parallelogram which has equal diagonals?a)A trapeziumb)A rectanglec)A rhombusd)A kiteCorrect answer is option 'B'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about What do you call a parallelogram which has equal diagonals?a)A trapeziumb)A rectanglec)A rhombusd)A kiteCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What do you call a parallelogram which has equal diagonals?a)A trapeziumb)A rectanglec)A rhombusd)A kiteCorrect answer is option 'B'. Can you explain this answer?.
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