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Which of the following quadilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?
- a)square
- b)circle
- c)rhombus
- d)rectangle.
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Which of the following quadilaterals has two pairs of adjacent sides e...
3. Rhombus
Explanation: A rhombus is a quadrilateral that has the following properties:
- All four sides are of equal length.
- It has two pairs of adjacent sides that are equal.
- The diagonals of a rhombus intersect at right angles (90 degrees) and bisect each other.
This makes the rhombus the correct answer.
- A square also has diagonals that intersect at right angles, but all four sides are equal rather than just two pairs of adjacent sides.
- A rectangle has equal opposite sides and diagonals that are equal but do not intersect at right angles.
- A circle is not a quadrilateral, so it doesn't apply to this question.
Most Upvoted Answer
Which of the following quadilaterals has two pairs of adjacent sides e...
The quadilateral that has two pairs of adjacent sides equal and diagonals intersecting at right angles is a kite.
Explanation:
A kite is a quadrilateral that has two pairs of adjacent sides equal. This means that the opposite sides are not equal, unlike in a square or a rectangle.
When we draw the diagonals of a kite, they intersect at right angles. This is because the diagonals of a kite are perpendicular bisectors of each other.
Let's look at the other options and why they are not the correct answer:
- Square: A square has all four sides equal and diagonals that intersect at right angles. However, a square does not have two pairs of adjacent sides equal, since all four sides are equal.
- Rhombus: A rhombus has two pairs of adjacent sides equal, but its diagonals do not intersect at right angles. Instead, they bisect each other.
- Rectangle: A rectangle has two pairs of opposite sides equal, but its diagonals do not intersect at right angles. Instead, they bisect each other.
Therefore, the correct answer is option C, kite.
Explanation:
A kite is a quadrilateral that has two pairs of adjacent sides equal. This means that the opposite sides are not equal, unlike in a square or a rectangle.
When we draw the diagonals of a kite, they intersect at right angles. This is because the diagonals of a kite are perpendicular bisectors of each other.
Let's look at the other options and why they are not the correct answer:
- Square: A square has all four sides equal and diagonals that intersect at right angles. However, a square does not have two pairs of adjacent sides equal, since all four sides are equal.
- Rhombus: A rhombus has two pairs of adjacent sides equal, but its diagonals do not intersect at right angles. Instead, they bisect each other.
- Rectangle: A rectangle has two pairs of opposite sides equal, but its diagonals do not intersect at right angles. Instead, they bisect each other.
Therefore, the correct answer is option C, kite.
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Community Answer
Which of the following quadilaterals has two pairs of adjacent sides e...
The correct answer will be kíte because these same feature exist in rhombus but it's all sides are equal, and in kite it's adjacent twao sides are equal
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