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Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?

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in Mathematics – Class 8 by (91.0k points)
Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?

(a) Rhombus

(b) Parallelogram

(c) Square

(d) Kite

The question was asked at a job interview.

Asked question is from Quadrilaterals in section Quadrilaterals of Mathematics – Class 8

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The correct option is (d) Kite

Explanation: The quadrilateral which has it’s adjacent sides equal, one can think of two such polygons, they are square and kite. The second condition given is the diagonals intersect at right angles which is true for both square and kite. Among kite and square, kite has adjacent sides equal whereas square has all 4 sides equal, the correct answer would be kite.

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