Kite Kite

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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      

 

© iTutoring.com 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    

 

© iTutoring.com 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  

© iTutoring.com Properties  of  Kites   Pg.  4