Here is a quadrilateral:

 

 

  1. Classify this quadrilateral and state your reasons. 

 

 

  1. Construct segment AD and create two triangles.  Now, using what you know about triangle congruency and the angles associated with parallel lines and transversals, make a conjecture about the lengths of the opposite sides of the figure above.  Argue that your conjecture is true.

 

 

My conjecture about the lengths of the opposite sides of the figure above is:______________________________________________________

 

My argument is this:

 

 

 

 

 

 

 

 

 

 

  1. Now make a conjecture about the opposite angles of  the figure above and then argue that your conjecture is true. 

 

My conjecture about the measures of the opposite angles of the figure above is:______________________________________________

 

 

My argument is this: