8.2 Parallelograms

HW pg. 518 #3­31 odds 1

January 04, 2012

Bellwork1. 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

8.2 Parallelograms

HW pg. 518 #3­31 odds 2

January 04, 2012

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

8.2 Parallelograms

HW pg. 518 #3­31 odds 3

January 04, 2012

Theorem 8.5: If a quad is a //ogram, then its consecutive <s   are supplementary.

x

y

y

x

x + y = 180

8.2 Parallelograms

HW pg. 518 #3­31 odds 4

January 04, 2012

Theorem 8.6: If a quad is a //ogram,   then its diagonals bisect each other.

8.2 Parallelograms

HW pg. 518 #3­31 odds 5

January 04, 2012

8.2 HW pg. 518 #3­31 odds