Section 6.2: Parallelograms

hToday in class we learned about parallelograms. We learned:

· The diagonals in a polygon are segments joining two nonconsecutive sides

# of diagonals in a polygon = the number of sides minus 2.

· A parallelogram is a quadrilateral with both pairs of opposite sides that are parallel

Opposite Sides Theorem:

The opposite sides of a parallelogram are congruent

Opposite Angles Theorem:

The opposite angles of a parallelogram are congruent

If one angle is 90 degrees, then all four angles are 90 degrees

Consecutive Angles Theorem:

Consecutive angles in a parallelogram are supplementary

Ex: the measure of angle S is congruent to the measure of angle A

The measure of angle A is congruent to the measure of angle T

The measure of angle N is congruent to the measure of angle S

The measure of angle T is congruent to the measure of angle N

Parallel Diagonal Theorem:

In a parallelogram, the diagonals will bisect each other