6'5 Trapezoids and Kites

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6.5 Trapezoids and Kites

• Pg 356

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Trapezoids
__
leg

• Trapezoid- a quadrilateral with exactly one pair
  of ll sides.
• Bases- ll sides
• Legs- non ll sides
• Isosceles trapezoid- a trapezoid with _at_ legs
• Base ?s come in pairs.

base
lt
lt
base
leg
__
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Thm 6.14

• If a trapezoid is an isosceles trapezoid, then
  its base angles (each pair) are ? .

W
X
gt
__
__
Z
gt
Y
?W _at_ ?X and ?Z _at_ ?Y
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Thm 6.16

• If a trapezoid has a pair of _at_ base angles, then
  its an isosceles trapezoid.

gt
)
(
gt
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Thm 6.16

• A trapezoid is isosceles iff its diagonals are _at_.

A
B
If Seg AC _at_ seg DB, then ABCD is isosceles and if
ABCD is isosceles, then seg AC ? seg DB.
C
D
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Midsegments

• Midsegement of a trapezoid- segment that connects
  the midpts of the legs.

A
B
Seg MN is the midseg of ABCD
N
M
C
D
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Thm 6.17midseg thm for trapezoids

• The midseg of a trapezoid is ll to the bases and
  its length is ½ the sum of the base lengths.

B
A
__ __
gt
__
__ __
M
N
gt
__
D
C
gt
MN AB DC and MN ½ (ABDC)
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Kite

• Kites- a quad with 2 pairs of consecutive _at_
  sides, but opp sides are not _at_.

__
__
__ __
____
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Thm 6.18
T

• If a quad is a kite then its diagonals are .

__
__
_
_
__ __
__ __
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Thm 6.19

• If a quad is a kite then exactly one pair of opp
  ?s are _at_.

X
W
)
(
Y
Always the angles made up of the two non ? sides
Z
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Assignment