SOLUTION: How do I prove that the triangles formed by one diagonal of a kite are congruent? I was only given that quadrilateral ABCD is a kite and segment AC is a diagonal

Algebra ->  Geometry-proofs -> SOLUTION: How do I prove that the triangles formed by one diagonal of a kite are congruent? I was only given that quadrilateral ABCD is a kite and segment AC is a diagonal      Log On


   

Question 952394: How do I prove that the triangles formed by one diagonal of a kite are congruent? I was only given that quadrilateral ABCD is a kite and segment AC is a diagonal
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your proof is based on the properties of a kite.
http://www.coolmath.com/reference/kites.html

if you stand the kite up along the long diagonal, the horizontal anbles opposite to each other are congruen.
the short sides above the horizontal are congruent.
the long sides under the horizontal are congruent.
the long diagonal splits the kite into 2 goncguent triangle by SAS.
there is no additional construction needed as the properties of the kite itself provide the proof based on the properties of the kite.
check out the reference and you'll see what i mean.