6.5 Trapezoids and kites
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Transcript of 6.5 Trapezoids and kites
6.5 Trapezoids and 6.5 Trapezoids and kiteskites
Base anglesBase angles
Isosceles trapezoidsIsosceles trapezoids
MidsegmentsMidsegments
Trapezoid definition
A Trapezoid is a quadrilateral with only one pair of parallel sides.
Base
Base
LegLeg
1b
2b
h
AmgleBase
AmgleBase
AmgleBase
AmgleBase
Isosceles Trapezoids
Isosceles Trapezoids have congruent legs.
Base
Base
LegLeg
1b
2b
h
AmgleBase
AmgleBase
AmgleBase
AmgleBase
Theorem
In a Isosceles Trapezoid each pair of base angles are congruent.
Theorem
If a pair of base angles in a trapezoid are congruent, then the trapezoid is an isosceles trapezoid.
Theorem
In an Isosceles trapezoid the diagonals are congruent.
Definition of a Midsegment
Midsegment connect the midpoints of the legs.
Theorem
The Midsegment equal half the parallel sides sum.
Solve for NO =
The Midsegment equal half the parallel sides sum.
Definition of a Kite
A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.
Theorem
Diagonals in a kite are perpendicular.
BDAC
Theorem
In a Kite, exactly one pair of opposite angles are congruent.
DB
Homework Homework
Page 359 – 362 Page 359 – 362
# 10 – 24 even, # 10 – 24 even,
25 – 27 , 25 – 27 ,
28 – 38 even28 – 38 even
Homework Homework
Page 359 – 362 Page 359 – 362
# 11 – 23 odd, # 11 – 23 odd,
31, 33 , 35, 37,31, 33 , 35, 37,
39, 48 -5239, 48 -52