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Chapter 2 Review
Chapter 2.1 (Inductive Reasoning)
In this chapter we learned about patterns and counter examples. Even though we haven’t talked about
patterns for a little while, it is still important we know how to do them.
Page 85 # 6, 7, 9, 11, 20, 24, 54 (not a.)
Chapter 2.2 (Conditional Statements)
In this chapter we learned about conditional statements, truth values, and the converse, inverse and
contrapositive. It will be good to know how to write the converse, inverse, and contrapositive of a
statement. It will also be good to work on finding truth values and when a statement is false, coming up
with a counter example.
Page 93 # 5, 10, 15, 20, 22, 31, 39
Chapter 2.3 (Biconditionals and Definitions)
Biconditional statements are the “if and only if” statements. It is when the conditional and the converse
of a statement are true. Ex: <1 and <2 are complementary if and only if <1 and <2 add to 90 degrees.
Remember, the best definitions are ones that are biconditional.
Page 101 # 9, 18, 22, 26, 31, 38, 43, 46
Chapter 2.4 (Deductive Reasoning)
This chapter was over very basic deductive reasoning proofs. Here we talked about how to use the law of
detachment and the law of syllogism.
Page 109 # 2, 8, 9, 11, 16, 27
Chapter 2.5 (Reasoning in Algebra and Geometry)
This is when we first started Statement/Reason proofs. We want to know the properties we use in the
reasons column by the day of the test. Make sure you also know how to write a clean statement/reason
proof.
Page 117 # 1, 2, 3, 6, 7, 13, 18, 19, 25
Chapter 2.6 (Proofs Involving Angles)
This is when we finally proved that vertical angles are congruent. We also learned about new theorems
that involve angles, which we can use as our reasons. Page 124 # 2, 12, 17, 24, 26, 29