# Week 11 Day 1 Opener

- Author:
- Katie Akesson

- Topic:
- Quadrilaterals

## G.2.7.4 What Do We Know For Sure About Parallelograms?

Quadrilateral

*ABCD*is a**parallelogram**. By definition, that means that segment*AB*is parallel to segment*CD*, and segment*BC*is parallel to segment*AD*. Constuct parallelogram*ABCD - Don’t forget you have tools to help you construct a parallelogram—don’t just draw something that sort of looks like a parallelogram—draw an actual parallelogram.*Then draw an auxiliary line to show how*ABCD*can be decomposed into 2 triangles.Are the two triangles you created congruent? How do you know?

What conclusions can you draw about parallelograms from this diagram?