1. Lesson 2.3 Drawing Conclusions Objective: After studying this section, you will be able to follow a five-step procedure to draw logical conclusions

2. Procedures for Drawing Conclusions 1. Memorize theorems, definitions, and postulates 2. Look for key words and symbols in the given information. 3. Think of all the theorems, definitions, and postulates that involve those keys. 4. Decide which theorem, definition, or postulate allows you to draw a conclusion. 5. Draw a conclusion, and give a reason to justify the conclusion. Be certain that you have not used the reverse of the correct reason.

3. Let’s Practice… Thinking process: The key word is bisects. Given: bisects Conclusion: ___________ The key symbols are and The definition of bisector (of an angle) contains those keys. An appropriate conclusion is that C B D A Let’s do a proof… : )

4. C B D A Given: bisects Conclusion: StatementsReasons 1. 2. 1. Let’s try some more!

5. BA C D Given: Conclusion: StatementsReasons 1. 2. 1.

6. StatementsReasons 1. 2. 1. Given: Conclusion: S E G E is the midpoint of

7. B A C Given: Conclusion: is a right angle StatementsReasons 1. 2. 1.

8. Lesson 2.3 Worksheet Homework Summary… What can you “conclude” about this lesson? (Hint: you could look back at your notes on how to draw conclusions)