From the following choices, which of the following quadrilateral is not a rhombus?

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All four sides are equal

Diagonals bisect each other

Diagonals bisect opposite angles

One angle between the diagonals is

60 °

answer is D.

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Detailed Solution

Assume that

A B C D

is a rhombus.
Following are the properties of a rhombus: All four sides are equal.
Diagonals bisect each other at right angles.
In option 1),
All four sides are equal: Following are the quadrilaterals whose all four sides are equal: rhombus and square.
Hence, option 1 is a rhombus.
In option 2),
Diagonals bisect each other: Following are the quadrilaterals whose diagonals bisect each other: parallelogram, rhombus, rectangle, square and kite.
Hence, option 2 is also a rhombus.
In option 3),
Diagonals bisect opposite angles: Following are the quadrilaterals whose diagonals bisect opposite angles: parallelogram and rhombus.
Hence, option 3 is also a rhombus.
In option 4),
Hence, the statement one angle between the diagonals is 60° is false.
Therefore, option 4) is correct.

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