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Kites
Geometry
Chapter 6
A BowerPoint Presentation
Definition of a kite
A kite is a quadrilateral with TWO pairs of
consecutive
sides but NO pairs of
opposite
sides.
Definition of a kite
A kite is a quadrilateral with TWO pairs of
consecutive
sides but NO pairs of
opposite
sides.
Definition of a kite
A kite is a quadrilateral with TWO pairs of
consecutive
sides but NO pairs of
opposite
sides.
If kite, then diagonals are
If kite, then diagonals are
In a kite, EXACTLY ONE pair of
opp s
In a kite, EXACTLY ONE pair of
opp s
In a kite, EXACTLY ONE pair of
opp s
In a kite, EXACTLY ONE pair of
opp s
The
angles are always
between the noncongruent
sides
In a kite, EXACTLY ONE diagonal
is bisected
In a kite, EXACTLY ONE diagonal
is bisected
In a kite, EXACTLY ONE diagonal
is bisected
In a kite, EXACTLY ONE diagonal
is bisected
In a kite, EXACTLY ONE diagonal
is bisected
The diagonal that is
bisected is always between
the
angles
Diagonals of kites (& rhombuses)
make right triangles
That means we can use the Pythagorean
Theorem:
4
3
3
6
Diagonals of kites (& rhombuses)
make right triangles
That means we can use the Pythagorean
Theorem:
4
3
3
6
Find AB & AD
(they’re the same
length) – 1 minute!
Diagonals of kites (& rhombuses)
make right triangles
That means we can use the Pythagorean
Theorem:
4
3
3
6
AB = AD = 5
Diagonals of kites (& rhombuses)
make right triangles
That means we can use the Pythagorean
Theorem:
4
3
3
6
Find BC & DC
(they’re the same
length) – 1 minute!
Diagonals of kites (& rhombuses)
make right triangles
That means we can use the Pythagorean
Theorem:
4
3
3
6
BC = DC = 3
5