Question

. In which quadrilateral, diagonals are equal, bisect each other but are not perpendicular to each
other
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Answer 1

Answer:

Rectangle is the quadrilateral, which has diagonals that are congruent and bisect but are not perpendicular.

Step-by-step explanation:

If diagonals bisect each other, opposite sides of quadrilateral are equal and it would be a parallelogram.

But then diagonals may not be congruent. If they are congruent, then it must be a rectangle.

As diagonals are not perpendicular, it cannot be a square or rhombus (latter does not have congruent diagonals).

Hence, quadrilateral is a rectangle.

Answer 2

Answer:

Rectangle

Step-by-step explanation:

If diagonals bisect each other, opposite sides of quadrilateral are equal and it would be a parallelogram.

But then diagonals may not be congruent. If they are congruent, then it must be a rectangle.

As diagonals are not perpendicular, it cannot be a square or rhombus (latter does not have congruent diagonals).

Hence, quadrilateral is a rectangle.

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