## Symbol Toolbox

## 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.

- and , then — A. Law of Contrapositive
- An educated guess — B. Inductive Reasoning
- — C. Inverse
- — D. Transitive Property of Equality
- and — E. Counterexample
- — F. Conjecture
- Conclusions drawn from facts. — G. Deductive Reasoning
- If I study, I will get an “” on the test. I did not get an . Therefore, I didn’t study. — H. Distributive Property
- and are right angles, therefore . — 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.*

### Image Attributions

## Description

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## Tags:

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

## Subjects:

## Date Created:

Feb 22, 2012## Last Modified:

Aug 21, 2014
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