Which statement is true about parallelograms? a. a parallelogram reflected across one of its diagonals is carried onto itself if its adjacent sides are congruent. b. a parallelogram reflected across a line segment joining the midpoints of its opposite sides is carried onto itself. c. a parallelogram reflected across a line segment joining the midpoints of its opposite sides is carried onto itself if its opposite sides are congruent. d. a parallelogram reflected across one of its diagonals is always carried onto itself.

Option B

Step-by-step explanation:

A parallelogram is one where opposite sides are parallel and equal.

Also diagonals bisect each other

SInce parallelogram is not symmetric about diagonal option a cannot be true.

Even if adjacent sides are equal, since diagonals do not bisect angles, the reflection is not exact.

B is true since opposite sides are parallel line segment joining mid points will be a symmetric line

C is false since opposite sides are congruent is superfluous because when parallelogram it is automatically defined as opposite sides equal

D is false as in  a parallelogram diagonal does not divide into two symmetrical figures the parallelogram

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