Question

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. _______________________________________________________

Answer 1

Option B

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