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Which of the following is NOT a true statement?
Question

Which of the following is NOT a true statement?

A.

Diagonals of a rhombus bisect each other at right angles.

B.

All squares are rhombuses.

C.

Sum of any pair of adjacent angles of a rhombus is not 180°

D.

All sides of a rhombus are congruent.

Correct option is C

Concept Used:

Properties of a Rhombus:

Diagonals bisect each other at right angles.

Opposite angles are equal.

Sum of adjacent angles is always 180180^\circ​ (supplementary).

All sides are equal.

Properties of a Square:

A square is a special type of rhombus where all angles are 9090^\circ​​

Solution:

Option A:
True. The diagonals of a rhombus always bisect each other at right angles.

Option B:
True. All squares are rhombuses because a square satisfies all the properties of a rhombus.

Option C:
False. The sum of any pair of adjacent angles in a rhombus is always 180180^\circ​, as they are supplementary.

Option D:
True. All sides of a rhombus are equal in length.

Thus, Sum of any pair of adjacent angles of a rhombus is not 180 \bf 180^\circ​.

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