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Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?
- a)square
- b)rhombus
- c)kite
- d)rectangle.
Correct answer is option 'A'. Can you explain this answer?
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Which of the following quadrilaterals has two pairs of adjacent sides ...
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Which of the following quadrilaterals has two pairs of adjacent sides ...
Explanation:
Square:
- A square is a quadrilateral with all four sides equal in length and all angles equal to 90 degrees.
- In a square, two pairs of adjacent sides are equal, and the diagonals intersect at right angles.
- Therefore, a square is the quadrilateral that fits the given criteria.
Rhombus:
- A rhombus is a quadrilateral with all four sides equal in length, but the angles are not necessarily 90 degrees.
- While a rhombus has two pairs of adjacent sides equal, its diagonals do not necessarily intersect at right angles.
Kite:
- A kite is a quadrilateral with two pairs of adjacent sides equal, but the diagonals do not necessarily intersect at right angles.
- Therefore, a kite does not match the criteria provided in the question.
Rectangle:
- A rectangle is a quadrilateral with all angles equal to 90 degrees, but not all sides are necessarily equal in length.
- While a rectangle has diagonals that intersect at right angles, it does not have two pairs of adjacent sides equal.
Therefore, the correct answer is option 'A' - square, as it is the only quadrilateral that has two pairs of adjacent sides equal and diagonals intersecting at right angles.
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Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?a)squareb)rhombusc)kited)rectangle.Correct answer is option 'A'. Can you explain this answer?
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