1. 2.1 – 2.3 Review for Quiz Tomorrow (Friday) Geometry (2010 – 2011)

2. Questions you have: What questions do you have from 2.1 – 2.3? 2.1 – An Introduction to Proofs Find the next terms of a sequence Writing a general formula for a pattern 2.2 – An Introduction to Logic Conditionals, converses, determining if they are true/false, counter examples, Euler diagrams 2.3 – Definitions Biconditional, iff, adjacent angles

3. 2.1 Questions Find the next three terms in the sequence: 1, 4, 16, 64, … 256, 1024, 4096 Find a general formula in terms of the term number, n. 4 n – 1 Use the general formula to find the 80 th term in the sequence. 4 n – 1 = 4 80 – 1 = 4 79

4. 2.2 Questions Consider: “The bonsai tree is a Japanese plant.” Write a conditional. If the plant is a bonsai tree, then it is a Japanese plant. Write the converse. If the plant is a Japanese plant, then it is a bonsai tree. Is the conditional true? Yes Is the converse true? No Counterexample: Japanese cherry blossoms

5. Euler Diagrams Draw an Euler diagram to show the conditional you just wrote. Japanese Plants Japanese Bonsai Tree Japanese Cherry Blossoms

6. Logical Chains Use the following to build a logical chain. If Miss Wuchevich eats an apple, then she eats peanut butter. If it is lunch time, Miss Wuchevich eats an apple. If it is 11:00 AM, then it is lunch time. What is the conditional that results from this logical chain?

7. Adjacent Angles Draw a pair of adjacent angles. Draw two different examples of non-adjacent angles. What is the definition of adjacent angles? Share a side. Share a vertex. No interior points in common.

8. ANY OTHER QUESTIONS?