Question

Different types of parallelograms have distinguishing traits. Compare and contrast the rectangle, rhombus, and square based upon the characteristics of their sides. Which one(s) have both pairs of opposite sides that are parallel? Which one(s) have both pairs of opposite sides that are congruent? Which one(s) have all four sides that are congruent?

Answer 1

All 3 of the listed parallelograms have both pairs of sides parallel, by definition.

The square and the rhombus have all congruent sides.

Since the square and rhombus have all 4 congruent sides, this means their opposite sides are congruent.  Additionally, rectangles have opposite sides congruent.