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

thkite3given
thkite8
 
Statements
  
Reasons
1.
kite ABCD , diag. ac
1.
Given
2.
phkite3
thkite32
2.
A kite has 2 distinct sets of congruent adjacent sides.
3.
thkite34
3.
An isosceles triangle has 2 congruent sides.

There is only ONE diagonal that forms the two isoscesles triangles.
If diagonal bdis drawn, ΔABD and ΔCBD will not be isosceles since thkite3addby the definition of a kite.

All Rights Reserved - Copyright MathBitsNotebook.com