Hints for Addition & Subtraction Properties

Here are a few more tips for the proof packet:

# 3, 4, 5) Two-step proofs (the only thinking required is Reason #2 and  it'll either be the Addition Property or Subtraction Property)

# 7) Same as above but you have to come up with your own Conclusion (or Prove) statement. 

# 8)  Old stuff - If you combine all Givens, it'll be only 2 steps!

#10)  The way I did this in class is actually the old way... there's an easier method.  I get 5 steps, the last one using the subtraction property.

Remember, to use the subtraction property, you only need this format:
     1.  Get two "big" angles congruent.
     2.  Get two "little" angles congruent - as long as they're inside the big ones.
     3.  Put a brace around those two steps and conclude that the remaining little angles are congruent.

#11)  Four steps and the reasons are 1.  Given  2.  Definition of bisector  3.  Given   4.  ______________

#12)  Start with the trisection.  What does that mean??  It means that the segment is divided into three congruent segments.  Two of them are important in this problem.  You need to add them to other segments.  Should take four steps.

#13)  Almost identical to #10.  Remember that all right angles are congruent.  If you start with the perpend. step, you should follow that with a right angle step.  Throw in the other right angle statement that you're given and then state that they are congruent.  It will take two more steps to reach the Prove.  In total, six steps.