The document is notes from a geometry class that define properties of parallelograms. It states that a parallelogram is a quadrilateral with both pairs of opposite sides parallel. It presents several theorems: opposite sides of a parallelogram are congruent; opposite angles of a parallelogram are congruent; consecutive angles of a parallelogram are supplementary; and the diagonals of a parallelogram bisect each other. The notes also list the assigned homework problems.

1. 8.2 Parallelograms
HW pg. 518 #3­31 odds
January 16, 2015
Bellwork
1. Find the sum of the measures of the interior angles of a
convex 24-gon.
2. The sum of the measures of the interior angles of a convex
polygon is 5040. Classify the polygon by the # of sides.
3. Find the measure of an interior angle and a exterior angle of
a regular 36-gon.
3960
30-gon
170, 10

2. 8.2 Parallelograms
HW pg. 518 #3­31 odds
January 16, 2015
Parallelogram: a quadrilateral with both pairs of opposite sides //
Theorem 8.3: If a quadrilateral is a //ogram, then its opposites are ≅
Theorem 8.4: If a quad is a //ogram, then its opposite <s are ≅
8.2 Parallelograms

3. 8.2 Parallelograms
HW pg. 518 #3­31 odds
January 16, 2015
Theorem 8.5: If a quad is a //ogram, then its consecutive <s
are supplementary.
x
y
y
x
x + y = 180

4. 8.2 Parallelograms
HW pg. 518 #3­31 odds
January 16, 2015
Theorem 8.6: If a quad is a //ogram,
then its diagonals bisect each other.

5. 8.2 Parallelograms
HW pg. 518 #3­31 odds
January 16, 2015
8.2 HW pg. 518 #3­31 odds