# 2.6: Chapter 2 Review

Difficulty Level:

**At Grade**Created by: CK-12Turn In

## 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
- 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.

- \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
- An educated guess — B. Inductive Reasoning
- \begin{align*}6(2a + 1) = 12a +12\end{align*} — C. Inverse
- \begin{align*}2, 4, 8, 16, 32, \ldots\end{align*} — D. Transitive Property of Equality
- \begin{align*}\overline{AB} \cong \overline{CD}\end{align*} and \begin{align*}\overline{CD} \cong \overline{AB}\end{align*} — E. Counterexample
- \begin{align*}\sim p \rightarrow \sim q\end{align*} — F. Conjecture
- Conclusions drawn from facts. — G. Deductive Reasoning
- 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
- \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
- 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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angle pairs
biconditional statements
CK.MAT.ENG.SE.1.Geometry-Basic.2
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CK.MAT.ENG.SE.2.Geometry.2
conclusion
conditional statements
congruence
conjecture
conjectures
contrapositive
converse
counterexamples
deductive reasoning
hypothesis
if-then statement
if-then statements
inductive and deductive reasoning
inductive reasoning
inverse
Law of Contrapositive
Law of Detachment
Law of Syllogism
logic
patterns
proof
proofs
reasoning
Segments
theorems
truth tables

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Date Created:

Feb 22, 2012
Last Modified:

Aug 15, 2016
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