# Parallelogram Investigation

- Author:
- Luke Cioffi, Tim Brzezinski

- Topic:
- Parallelogram

**BE SURE to move the vertices and sides of this parallelogram around after completing each step in order to help you make more informed conjectures**:

**SIDES: Measure and display the lengths of all 4 sides.
**What, if anything, do you notice? Describe in detail.
Are the opposite sides always congruent?
Are the opposite sides always parallel?

**ANGLE MEASURES: Construct both diagonals (AC & BD). Construct the midpoint of segment AC. Label this point “E”.** **Measure & display the measures of the following angles: **
What do you notice? Describe in detail. Are the opposite angles always congruent?
Are the consecutive angles always supplementary?
Are there four congruent angles?

**ANGLES FORMED BY DIAGONALS:
**What do you notices about the angles formed by the diagonals? Explain in detail.
Are the diagonals always perpendicular to each other?
Do the diagonals bisect the angles?

**DIAGONAL MEASURES:
**What do you notice about the measurements of the diagonals? Explain in detail.
Are the diagonals always congruent to each other?
Do the diagonals always bisect each other?