Question

Determine if the statement "Opposite sides of a parallelogram are congruent." is always, sometimes, or never true. Always, sometimes, or never

Answer 1

Answer: Always true

Step-by-step explanation:

This can be proven by dividing the parallelogram into two triangles, and then proving the triangles congruent (use ASA). Once you know the triangles are congruent, then the corresponding pieces must be congruent as well. The corresponding pieces being the same length tells us that the opposite sides of a parallelogram are always congruent.