Quadrilaterals as Parallelograms

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