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If the diagonals of a quadrilateral bisect each other at right angle then the quadrilateral is a
- a)Rhombus
- b)Rectangle
- c)Kite
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
If the diagonals of a quadrilateral bisect each other at right angle t...
Explanation:
Quadrilateral:
A quadrilateral is a polygon with four sides. The diagonals of a quadrilateral are the line segments that connect opposite vertices (corners) of the quadrilateral.
Bisect:
When a line or line segment divides another line or line segment into two equal parts, it is said to bisect the line or line segment. In this case, the diagonals of the quadrilateral bisect each other, which means they divide each other into two equal parts.
At Right Angle:
A right angle is an angle that measures exactly 90 degrees. In this case, the diagonals of the quadrilateral intersect each other at a right angle.
Rhombus:
A rhombus is a quadrilateral with all sides of equal length. Its diagonals bisect each other at right angles. Therefore, a rhombus satisfies the given conditions.
Rectangle:
A rectangle is a quadrilateral with four right angles. Its diagonals also bisect each other at right angles. Therefore, a rectangle satisfies the given conditions.
Kite:
A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. Its diagonals do not bisect each other at right angles. Therefore, a kite does not satisfy the given conditions.
Therefore, the correct answer is option 'A', Rhombus. A rhombus is the only quadrilateral that satisfies the given conditions of having diagonals that bisect each other at a right angle.
Quadrilateral:
A quadrilateral is a polygon with four sides. The diagonals of a quadrilateral are the line segments that connect opposite vertices (corners) of the quadrilateral.
Bisect:
When a line or line segment divides another line or line segment into two equal parts, it is said to bisect the line or line segment. In this case, the diagonals of the quadrilateral bisect each other, which means they divide each other into two equal parts.
At Right Angle:
A right angle is an angle that measures exactly 90 degrees. In this case, the diagonals of the quadrilateral intersect each other at a right angle.
Rhombus:
A rhombus is a quadrilateral with all sides of equal length. Its diagonals bisect each other at right angles. Therefore, a rhombus satisfies the given conditions.
Rectangle:
A rectangle is a quadrilateral with four right angles. Its diagonals also bisect each other at right angles. Therefore, a rectangle satisfies the given conditions.
Kite:
A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. Its diagonals do not bisect each other at right angles. Therefore, a kite does not satisfy the given conditions.
Therefore, the correct answer is option 'A', Rhombus. A rhombus is the only quadrilateral that satisfies the given conditions of having diagonals that bisect each other at a right angle.
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If the diagonals of a quadrilateral bisect each other at right angle then the quadrilateral is aa)Rhombusb)Rectanglec)Kited)None of theseCorrect answer is option 'A'. Can you explain this answer?
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