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2.6: Chapter 2 Review

Difficulty Level: At Grade Created by: CK-12

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$& \rightarrow && \text{if-then} && \sim \ \text{not}\\& \therefore && \text{therefore}$

Keywords and Vocabulary

Inductive Reasoning

• Inductive Reasoning
• Conjecture
• Counterexample

Conditional Statements

• Conditional Statement (If-Then Statement)
• Hypothesis
• Conclusion
• Converse
• Inverse
• Contrapositive
• Biconditional Statement

Deductive Reasoning

• Logic
• Deductive Reasoning
• Law of Detachment
• Law of Contrapositive
• Law of Syllogism

Algebraic & Congruence Properties

• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality
• Substitution Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality
• Distributive Property
• Reflexive Property of Congruence
• Symmetric Property of Congruence
• Transitive Property of Congruence

Proofs about Angle Pairs & Segments

• Right Angle Theorem
• Same Angle Supplements Theorem
• Same Angle Complements Theorem

Review

Match the definition or description with the correct word.

1. $5 = x$ and $y + 4 = x$, then $5 = y +4$ — A. Law of Contrapositive
2. An educated guess — B. Inductive Reasoning
3. $6(2a + 1) = 12a +12$ — C. Inverse
4. $2, 4, 8, 16, 32, \ldots$ — D. Transitive Property of Equality
5. $\overline{AB} \cong \overline{CD}$ and $\overline{CD} \cong \overline{AB}$ — E. Counterexample
6. $\sim p \rightarrow \sim q$ — F. Conjecture
7. Conclusions drawn from facts. — G. Deductive Reasoning
8. If I study, I will get an “$A$” on the test. I did not get an $A$. Therefore, I didn’t study. — H. Distributive Property
9. $\angle A$ and $\angle B$ are right angles, therefore $\angle A \cong \angle B$. — I. Symmetric Property of Congruence
10. 2 disproves the statement: “All prime numbers are odd.” — J. Right Angle Theorem

K. Definition of Right Angles

Texas Instruments Resources

In the CK-12 Texas Instruments Geometry FlexBook, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9687.

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Feb 22, 2012

Last Modified:

Dec 11, 2014
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CK.MAT.ENG.SE.1.Geometry-Basic.2.6