Which statement is always true about a parallelogram?
A
The adjacent angles are equal.
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B
All four sides are equal.
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C
The two pairs of opposite sides are equal.
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D
The diagonals are perpendicular to each other.
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Solution
The correct option is C The two pairs of opposite sides are equal.
The opposite sides of a parallelogram are always equal.
The length and width of the parallelogram can be different. All four sides can be equal only if the length and width are equal.
The consecutive angles sum up to 180∘, but not equal unless the angles are 90∘.
The diagonals of a parallelogram are not perpendicular to each other.
Hence, only Option A is correct.