Proof for Theorem
Prove: If a quadrilateral is a kite, it has one diagonal forming two congruent triangles.

thkite4given
thkite1
 
Statements
  
Reasons
1.
kite ABCD
1.
Given
2.
phkite3
thkite32
2.
A kite has 2 distinct sets of congruent adjacent sides.
3.
bdcongruent bd
3.
Reflexive property.
4.
thkite44
4.
SSS - if 3 sides of 1 Δ are congruent to the corres. parts of other Δ, the Δs are congruent.

There is only ONE diagonal that forms the two congruent triangles.
If diagonal ac is drawn, ΔABC is not congruent to ΔADC since thkite3addby the definition of a kite stating "distinct" congruent adjacent sides.

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