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CPCTC and Circles - Lesson 3-3

We began today by defining some things related to circles and noting a new theorem:

We also recalled a couple of (hopefully) familiar formulas and applied them to some example problems:

We continued by reviewing the definition of congruent triangles and coming up with an acronym for it:

Then we used this, in combination with some of our congruence shortcuts to prove some things!  Now, don't get intimidated by this stuff...it's really not that hard...and you can all do it!

We started by looking at the following example:

which is solved as shown below:

We also looked at this one:

Which is solved like this:

We then went on to proofs. Here are two examples using this stuff (note how key the given circle is...it helps to know that the radii from the center are congruent!  Without the fact that the circle is given, the proofs wouldn't be possible!):