Lesson 5.4
Investigation 1
Four Parallelogram Properties
Step 1, 2,3
draw a set of parallel lines about 6 cm apart
use a straight edge to make a parallelogram
label it LOVE
look at the special pairs
copy and complete the conjecture
Parallelogram Opposite Angles Conjecture
The opposite angles of a parallelogram are congruent
*Side Note*
Two angles that share a common side in a polygon are consecutive angles. In parallelogram LOVE, <LOV and <EVO are a pair of consecutive angles. The consecutive angles of a parallelogram are also related.
Parallelogram Consecutive Angles Conjecture
The consecutive angles of a parallelogram are supplementary
Parallelogram Opposite Side Conjecture
The opposite sides of a parallelogram are congruent
Parallelogram Diagonals Conjecture
The diagonals of a parallelogram are bisectors