Exercises: Prove Theorems About Parallelograms

Work through each section in order. Show all proof steps and justifications where indicated.

Grade 9·21 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-co-c-11

Work through problems with immediate feedback

Warm-Up: Review What You Know

These problems review skills from earlier in the course that you will need for parallelogram proofs.

The midpoints of segment $\overline{AC}$ and segment $\overline{BD}$ are both the point $(3, 4)$ . What can you conclude?

$\overline{AC}$ and $\overline{BD}$ bisect each other.

$\overline{AC}$ and $\overline{BD}$ are congruent.

$\overline{AC}$ and $\overline{BD}$ are perpendicular.

$\overline{AC}$ and $\overline{BD}$ are parallel.