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Question

Diagonals of a parallelogram are perpendicular to each other. Is this statement true?

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A
Yes
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B
No
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C
May be
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D
Cannot be determined
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Solution

The correct option is C May be

There are six general and important properties of parallelograms to know:

There are six important properties of parallelograms to know:

Opposite sides are congruent (AB = DC).

Opposite angels are congruent (D = B).

Consecutive angles are supplementary (A + D = 180°).

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other.

Each diagonal of a parallelogram separates it into two congruent triangles.

These properties does not say anything about angle between diagonals . So diagonals may be perpendicular may be not.

Special type of parallelogram with perpendicular diagonals are square and rhombus.

So correct answer is option is C


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