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Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?
- a)Parallelogram
- b)rhombus
- c)Triangle
- d)rectangle
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Which of the following quadrilaterals has two pairs of adjacent sides ...
Correct Answer :- b
Explanation:- A rhombus is a parallelogram and a quadrilateral whose opposite sides are parallel and opposite angles are equal.
Area of Rhombus, A = (d1 x d2)/2
The perimeter of Rhombus, P = 4a units
The opposite angles of a rhombus are equal to each other.
In a rhombus, diagonals bisecting each other at right angles.
Diagonals bisect the angles of a rhombus
Most Upvoted Answer
Which of the following quadrilaterals has two pairs of adjacent sides ...
Explanation:
A quadrilateral is a four-sided polygon. There are different types of quadrilaterals based on their properties. The given question asks us to identify a quadrilateral that has two pairs of adjacent sides equal and diagonals intersecting at right angles. Let's examine each option to see which one satisfies these conditions.
(A) Square: A square is a quadrilateral with four equal sides and four right angles. The diagonals of a square are equal and intersect at right angles. Therefore, a square satisfies the given conditions.
(B) Rhombus: A rhombus is a quadrilateral with four equal sides. The diagonals of a rhombus intersect at right angles, but they are not necessarily equal in length. However, since a rhombus has two pairs of adjacent sides equal, it satisfies the given conditions.
(C) Kite: A kite is a quadrilateral with two pairs of adjacent sides equal. However, the diagonals of a kite are not necessarily perpendicular to each other. Therefore, a kite does not satisfy the given conditions.
(D) Rectangle: A rectangle is a quadrilateral with four right angles. The diagonals of a rectangle intersect at right angles, but they are not necessarily equal in length. However, since a rectangle has two pairs of adjacent sides equal, it satisfies the given conditions.
Conclusion:
Out of the given options, only the rhombus and the square satisfy the given conditions. However, since the square is a special case of the rhombus where all angles are right angles, we can say that the answer is option B, which is a rhombus.
A quadrilateral is a four-sided polygon. There are different types of quadrilaterals based on their properties. The given question asks us to identify a quadrilateral that has two pairs of adjacent sides equal and diagonals intersecting at right angles. Let's examine each option to see which one satisfies these conditions.
(A) Square: A square is a quadrilateral with four equal sides and four right angles. The diagonals of a square are equal and intersect at right angles. Therefore, a square satisfies the given conditions.
(B) Rhombus: A rhombus is a quadrilateral with four equal sides. The diagonals of a rhombus intersect at right angles, but they are not necessarily equal in length. However, since a rhombus has two pairs of adjacent sides equal, it satisfies the given conditions.
(C) Kite: A kite is a quadrilateral with two pairs of adjacent sides equal. However, the diagonals of a kite are not necessarily perpendicular to each other. Therefore, a kite does not satisfy the given conditions.
(D) Rectangle: A rectangle is a quadrilateral with four right angles. The diagonals of a rectangle intersect at right angles, but they are not necessarily equal in length. However, since a rectangle has two pairs of adjacent sides equal, it satisfies the given conditions.
Conclusion:
Out of the given options, only the rhombus and the square satisfy the given conditions. However, since the square is a special case of the rhombus where all angles are right angles, we can say that the answer is option B, which is a rhombus.
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Community Answer
Which of the following quadrilaterals has two pairs of adjacent sides ...
Rhombus
PROPERTIES OF RHOMBUS
1. all sides are equal
2. opposite sides are equal and parallel
3. opposite angles are equal
4. diagonals bisect each other perpendicular
so according to the question
the properties 1 and 4 refers to the given question
so the answer is rhombus
PROPERTIES OF RHOMBUS
1. all sides are equal
2. opposite sides are equal and parallel
3. opposite angles are equal
4. diagonals bisect each other perpendicular
so according to the question
the properties 1 and 4 refers to the given question
so the answer is rhombus
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Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?a)Parallelogramb)rhombusc)Triangled)rectangleCorrect answer is option 'B'. Can you explain this answer?
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