# 2.6: Chapter 2 Review

Difficulty Level: At Grade Created by: CK-12

## Symbol Toolbox

\begin{align*}& \rightarrow && \text{if-then} && \sim \ \text{not}\\ & \therefore && \text{therefore}\end{align*}

## 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
• 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. \begin{align*}5 = x\end{align*} and \begin{align*}y + 4 = x\end{align*}, then \begin{align*}5 = y +4\end{align*} — A. Law of Contrapositive
2. An educated guess — B. Inductive Reasoning
3. \begin{align*}6(2a + 1) = 12a +12\end{align*} — C. Inverse
4. \begin{align*}2, 4, 8, 16, 32, \ldots\end{align*} — D. Transitive Property of Equality
5. \begin{align*}\overline{AB} \cong \overline{CD}\end{align*} and \begin{align*}\overline{CD} \cong \overline{AB}\end{align*} — E. Counterexample
6. \begin{align*}\sim p \rightarrow \sim q\end{align*} — F. Conjecture
7. Conclusions drawn from facts. — G. Deductive Reasoning
8. If I study, I will get an “\begin{align*}A\end{align*}” on the test. I did not get an \begin{align*}A\end{align*}. Therefore, I didn’t study. — H. Distributive Property
9. \begin{align*}\angle A\end{align*} and \begin{align*}\angle B\end{align*} are right angles, therefore \begin{align*}\angle A \cong \angle B\end{align*}. — 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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Date Created:
Feb 22, 2012
Aug 15, 2016
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CK.MAT.ENG.SE.1.Geometry-Basic.2.6