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Addition & Subtraction Properties - Lesson 2-5

Today, we covered a number of new theorems regarding addition and subtraction of segments and angles.  We started by proving Theorem 8 (The Addition Property of Congruent Segments).

We then proved Theorem 9 (The Addition Property of Congruent Angles).  Do you see the similarities here?  You should be starting to see these more and more...

At this point, I showed you the following theorems (a second version of The Addition Property of Congruent Segments and The Addition Property of Congruent Angles).  You might want to take a shot at proving these.  It would be good practice for the chapter test (hint hint)!!

And the follow two as well (two version of The Subtraction Property of Congruent Segments & Angles)!

You should be able to follow all the steps in these proofs and should be beginning to see some similarities between how they "flow."  Are you starting to recognize patterns?  Are you following each given as far as it goes?  Are you looking at the conclusion and working backwards?  Hopefully, you're starting to get the hang of things here, but if you're not, make sure to come to extra help!