Proofs Involving Quadrilaterals
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Answer the following questions dealing with quadrilaterals.

(Please Note:  The proofs presented as answers will show only ONE possible solution to the problem.  Keep in mind that there is often more than one way to solve a problem and more than one manner of presentation.  Two-column proofs will be presented here.)


1.

 

HL for right triangles
 AAS
 SSA
SSS


 

 

2.

Proof

 

 

3.

Proof


 

 

4.

Proof

 


 

5.

Proof

 

 

6.

Proof

 

 

7.

Proof

 

 

8.

Proof

 


 

9.

Proof

 


 

10.

Proof


 

 

11.

Prove:  The diagonals of a parallelogram divide the parallelogram into two congruent triangles.
(This is proving the theorem, not stating it.)

Proof