# 2.7: Study Guide

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

Keywords: Define, write theorems, and/or draw a diagram for each word below.

**\begin{align*}1^{st}\end{align*} Section: Inductive Reasoning**

Inductive Reasoning

Conjecture

Counterexample

**Homework:**

**\begin{align*}2^{nd}\end{align*} Section: Conditional Statements**

Conditional Statement (If-Then Statement)

Hypothesis

Conclusion

Converse

Inverse

Contrapositive

Biconditional Statement

**Homework:**

**\begin{align*}3^{rd}\end{align*} Section: Deductive Reasoning**

Logic

Deductive Reasoning

Law of Detachment

Law of Contrapositive

Law of Syllogism

**Homework:**

**\begin{align*}4^{th}\end{align*} Section: 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

**Homework:**

**\begin{align*}5^{th}\end{align*} Section: Proofs about Angle Pairs & Segments**

Right Angle Theorem

Same Angle Supplements Theorem

Same Angle Complements Theorem

**Homework:**

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