Which statement is true about parallelogram sides?

Which statement is true about parallelogram sides?

• A. Opposite sides are parallel
• B. Opposite sides are perpendicular
• C. All sides are perpendicular
• D. Diagonals are parallel

Answer: (A)

In a parallelogram, opposite sides are parallel. That’s what defines the shape: each pair of opposite sides runs in the same direction and never meets, so they are parallel. This parallelism also implies the opposite sides are equal in length. The other statements clash with this structure. Diagonals in a parallelogram cross each other rather than running parallel, so they are not parallel. It wouldn’t be possible for all sides to be perpendicular, since that would force angles that don’t occur in a parallelogram, and opposite sides being perpendicular to each other would contradict their parallelism.

In a parallelogram, opposite sides are parallel. That’s what defines the shape: each pair of opposite sides runs in the same direction and never meets, so they are parallel. This parallelism also implies the opposite sides are equal in length.

The other statements clash with this structure. Diagonals in a parallelogram cross each other rather than running parallel, so they are not parallel. It wouldn’t be possible for all sides to be perpendicular, since that would force angles that don’t occur in a parallelogram, and opposite sides being perpendicular to each other would contradict their parallelism.