Question

Randolph is creating parallelogram WXYZ. Which statement must be true about opposite sides in a parallelogram?

A) They have equal lengths.
B) They are parallel.
C) They are perpendicular.
D) They intersect at 90 degrees.

Answer 1

In parallelogram WXYZ, opposite sides must be equal in length and parallel to each other. They are neither perpendicular nor intersect at 90 degrees.

Step-by-step explanation:

When Randolph is creating parallelogram WXYZ, the statement that must be true about opposite sides in a parallelogram is that they have equal lengths and they are parallel. In a parallelogram, by definition, opposite sides are always equal in length and parallel to one another. However, they are not necessarily perpendicular, nor do they intersect at a 90-degree angle, which eliminates options C and D.