Special

1. 8.5 Special Quadrilaterals
HW pg. 546 #4­26 evens
January 23, 2015
Bellwork

2. 8.5 Special Quadrilaterals
HW pg. 546 #4­26 evens
January 23, 2015
8.5 Trapezoids and Kites
Trapezoid: quad w/ exactly 1 pair of // sides AKA bases,
2 pairs of base <s, & 2 non // sides AKA legs
base
base
legleg

3. 8.5 Special Quadrilaterals
HW pg. 546 #4­26 evens
January 23, 2015
Definition:
legs are ≅
Theorem 8.14:
each pair of base <s is ≅
Isosceles Trapezoid:
Theorem 8.16
iff diagonals are ≅
Theorem 8.15
@ least 1 pair of ≅ base <s

4. 8.5 Special Quadrilaterals
HW pg. 546 #4­26 evens
January 23, 2015
Midsegments
connects the midpoints of its legs
Theorem 8.17:
Midsegement of a trapezoid is...
* // to each base
* 1/2 (sum of both bases)
M N
DC
BA
MN = 1/2 (AB + CD)

5. 8.5 Special Quadrilaterals
HW pg. 546 #4­26 evens
January 23, 2015
Kites
A quadrilateral that has 2 pairs of consecutive ≅ sides
BUT NOT≅ opp sides.
Theorem 8.18:
its diagonals are
Theorem 8.19
exactly 1 pair of opp. <s are ≅

6. 8.5 Special Quadrilaterals
HW pg. 546 #4­26 evens
January 23, 2015
HW
pg. 546
#4­26
evens