The document discusses properties of parallelograms. It states that a parallelogram is a quadrilateral with both pairs of opposite sides parallel. It presents several theorems: if a quadrilateral is a parallelogram, then its opposite sides are congruent; if a quadrilateral is a parallelogram, then its opposite angles are congruent; if a quadrilateral is a parallelogram, then the sum of its consecutive angles is 180 degrees; if a quadrilateral is a parallelogram, then its diagonals bisect each other. The document assigns homework problems from page 518, numbers 3 through 31 odds.

1. 8.2 Parallelograms
January 23, 2014
Bellwork
1. Find the sum of the measures of the interior angles of a
convex 24-gon.
3960
2. The sum of the measures of the interior angles of a convex
polygon is 5040. Classify the polygon by the # of sides.
30-gon
3. Find the measure of an interior angle and a exterior angle of
a regular 36-gon.
170, 10
Dec 20­2:00 PM
HW pg. 518 #3­31 odds
1

2. 8.2 Parallelograms
January 23, 2014
8.2 Parallelograms
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 ≅
Dec 20­2:05 PM
HW pg. 518 #3­31 odds
2

3. 8.2 Parallelograms
January 23, 2014
Theorem 8.5: If a quad is a //ogram, then its consecutive <s
are supplementary.
x
y
y
x + y = 180
x
Dec 20­3:28 PM
HW pg. 518 #3­31 odds
3

4. 8.2 Parallelograms
January 23, 2014
Theorem 8.6: If a quad is a //ogram,
then its diagonals bisect each other.
Dec 20­3:34 PM
HW pg. 518 #3­31 odds
4

5. 8.2 Parallelograms
January 23, 2014
8.2 HW pg. 518 #3­31 odds
Dec 20­3:40 PM
HW pg. 518 #3­31 odds
5