Question

If ABCD is a parallelogram, what can we say about the diagonals BD and AC? 

A. They're congruent to sides AB and DC
B. They're congruent to sides AD and BC
C. They bisect each other
D. They're congruent

Answer 1

A parallelogram is a quadrilateral with two pair of parallel sides. The opposite sides of parallelogram are in equal length and opposite angles are of equal measure.

ABCD is a parallelogram with sides as AB, BC, CD and AD. BD and AC are the diagonals of the given parallelogram.

In parallelogram opposite sides are equal that is AB=CD, AD=BC

opposite angles are equal
`\angle A = \angle C` ,
`\angle B = \angle D`

Diagonals of parallelogram bisect each other.

Diagonals of parallelogram BD and AC are not congruent to the sides AB , CD and AD , BC.

Diagonals are not congruent.

Diagonals always bisect each other.

Option C is correct.