SOLUTION: Can someone explain in steps how you would do this proof ? This is ridiciulous everyone in my class understands it , and I don't get it. http://www.flickr.com/photos/68627030@N06

Algebra ->  Geometry-proofs -> SOLUTION: Can someone explain in steps how you would do this proof ? This is ridiciulous everyone in my class understands it , and I don't get it. http://www.flickr.com/photos/68627030@N06      Log On


   

Question 526665: Can someone explain in steps how you would do this proof ?
This is ridiciulous everyone in my class understands it , and I don't get it.
http://www.flickr.com/photos/68627030@N06/6316210261/in/photostream
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Here are the following reasons (that are missing from the given ones)


b. Interiors on Same Side Theorem **

c. Definition of Supplementary Angles

e. Definition of Congruent Angles

g. Definition of Supplementary Angles

h. Converse of Interiors on Same Side Theorem **

** Note: The Interiors on Same Side Theorem states that "If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary."


The basic idea here is to use the fact that PV is parallel to QM to show that angles 1 and 2 are supplementary (ie they add to 180 degrees). From there, you use substitution to show that angles 2 and 3 are also supplementary. Then you reverse the logical steps used beforehand to show that because angles 2 and 3 are supplementary, this means that LT must be parallel to MV.