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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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