This is a reasonably direct task aimed at having students use previously-derived results to learn new facts about parallelograms, as opposed to deriving them from first principles. The solution provided (among other possibilities) uses the SAS trial congruence theorem, and the fact that opposite sides of parallelograms are congruent.

I use this activity as an introduction to our quadrilaterals chapter.

In this activity, students will discover the properties of quadrilaterals by looking at that different shapes and marking which quadrilaterals have specific properties.

Students that are struggling with identifying the properties I give them the "Quadrilaterals Properties" handout printed in color since the properties each have a different color.