The document discusses ways to prove that a quadrilateral is a parallelogram. There are 5 methods listed: 1) showing both pairs of opposite sides are parallel, 2) showing both pairs of opposite sides are congruent, 3) showing both pairs of opposite angles are congruent, 4) showing one pair of opposite sides are parallel and congruent, 5) showing the diagonals bisect each other. The document also mentions the homework assignment is to complete problems 4 through 20 on page 526 of the textbook, which are the even numbered problems.

1. 8.3 Quadrilaterals as Parallelograms
HW pg. 526 #4­20 evens
January 20, 2015
Bellwork
1. Find the values of a & b in the .
2. Find the measure of <K in the .
3. Find the m<BCD & BD in the .
a­12
30
36
b+10
J M
64
LK
B
A
C
D
100
37
E
9
a = 42, b = 26
116
<BCD=43 , BD=18

2. 8.3 Quadrilaterals as Parallelograms
HW pg. 526 #4­20 evens
January 20, 2015
8.3 Show that a Quad is a Parallelogram
Ways to prove a quadrilateral is a parallelogram...
1. Show both pairs of opp. sides are // (definition)
2. Show both pairs of opp sides are ≅. (theorem)
3. Show both pairs of opp. < are ≅. (theorem)
4. Show 1 pair of opp. sides are ≅ and //. (theorem)
5. Show the diagonals bisect each other. (theorem)

3. 8.3 Quadrilaterals as Parallelograms
HW pg. 526 #4­20 evens
January 20, 2015

4. 8.3 Quadrilaterals as Parallelograms
HW pg. 526 #4­20 evens
January 20, 2015

5. 8.3 Quadrilaterals as Parallelograms
HW pg. 526 #4­20 evens
January 20, 2015

6. 8.3 Quadrilaterals as Parallelograms
HW pg. 526 #4­20 evens
January 20, 2015

7. 8.3 Quadrilaterals as Parallelograms
HW pg. 526 #4­20 evens
January 20, 2015
8.3 HW pg. 526 #4­20 evens