2-6 Multiplication and Division Properties

Today in class we learned about multiplication and division theorems.


Two important theorems are:

1.  if segments (or angles) are congruent, then their like multiples are congruent

2. if segments (or angles) are congruent, then their like divisions are congruent  (shown below)



Next, we proved one of the theorems:
                       ~                                                                                              ~          
Given:     AB   =   CD                                                               Prove:    AM   =  CN
                                   
               M midpt. AB
                                   
               N midpt. CD

This is the flow proof (sorry it's a little blurry):

Using the Multiplication and Division Properties in Proofs:

~ Look for double use of word midpoint or trisect or bisect

~ Multiplication property is used when the segments or angles in conclusion are greater than those given in the info

~ Division property is used when the segments or angles in conclusion are smaller than those given in the info

So thats what we discussed in class today

Hope it helped,

Natalie U.