www.iTutoring.com -­‐ NOTES Properties of Kites Name _________________________________ Date ___________________ Period _______ Kite
A kite is quadrilateral with exactly two distinct pairs of adjacent
congruent sides.
A
DA and DC is one pair of adjacent congruent
sides
D
B
AB and BC is the other pair of adjacent
congruent sides
C
Kite
A kite is quadrilateral with exactly two distinct pairs of adjacent
congruent sides.
A
Properties of a Kite
The angles between two non-congruent
sides of a kite are congruent.
D
B
C
Kite
A kite is quadrilateral with exactly two distinct pairs of adjacent
congruent sides.
A
Properties of a Kite
The diagonals of a kite are perpendicular
D
B
DB and AC are diagonals of kite ABCD
C
Kite
A kite is quadrilateral with exactly two distinct pairs of adjacent
congruent sides.
A
Properties of a Kite
A diagonal bisects the two non-congruent angles
D
B
!D and !B are the two non-congruent
angles of kite ABCD.
C
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Properties of Kites Pg. 2 Kite
A kite is quadrilateral with exactly two distinct pairs of adjacent
congruent sides.
A
Properties of a Kite
One diagonal bisects the other diagonal
D
P
DB bisects AC
B
C
Kite
A kite is quadrilateral with exactly two distinct pairs of adjacent
congruent sides.
A
Triangles in a Kite
∆ABD ! ∆CBD
D
B
C
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Properties of Kites Pg. 3 Kite
A kite is quadrilateral with exactly two distinct pairs of adjacent
congruent sides.
A
Triangles in a Kite
D
B
∆ABD ! ∆CBD
∆DAC and ∆ABC are isosceles triangles
C
Kite
A kite is quadrilateral with exactly two distinct pairs of adjacent
congruent sides.
A
Triangles in a Kite
∆ABD ! ∆CBD
D
B
∆DAC and ∆ABC are isosceles triangles
∆DPA is a right triangle
∆DPC is a right triangle
∆APD ! ∆CPD
∆APB is a right triangle
∆BPC is a right triangle
∆APB ! ∆CPB
C
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Properties of Kites Pg. 4