Question

which statement about a parallelogram is true? all parallelograms have 4 square corners. some parallelograms have side lengths that are all different. some parallelograms have more than 4 sides. all parallelograms have opposite sides that are parallel.

Explanation:

• "All parallelograms have 4 square corners" is false: only rectangles/squares (specific parallelograms) have right angles, not all.
• "Some parallelograms have side lengths that are all different" is false: parallelograms require opposite sides to be equal, so all 4 sides cannot be distinct.
• "Some parallelograms have more than 4 sides" is false: by definition, parallelograms are 4-sided quadrilaterals.
• The final option matches the core defining property of a parallelogram: both pairs of opposite sides are parallel.

Answer:

All parallelograms have opposite sides that are parallel.