Conditional Statements

Slides:



Advertisements
Similar presentations
Conditional Statements
Advertisements

Logic Day Two.
Geometry 2.2 Big Idea: Analyze Conditional Statements
Conditional Statements
Lesson Conditional Statements. Lesson Conditional Statement Definition:A conditional statement is a statement that can be written in if-then.
Conditional Statements
 Writing conditionals  Using definitions as conditional statements  Writing biconditionals  Making truth tables.
Notes on Logic Continued
Get Ready To Be Logical! 1. Books and notebooks out. 2. Supplies ready to go. 3. Answer the following: The sum of 2 positive integers is ___________ True.
Conditional Statements
2.2 Conditional Statements Goal: Students will be able:  To recognize conditional statements and their parts.  To write converses, inverses, and contrapositives.
1 U1-C1-L1 Logic: Conditional Statements. Conditional Statements 2 Conditional Statement Definition:A conditional statement is a statement that can be.
Conditional Statements
Conditional Statements and Logic 2.2 Ms. Verdino.
Conditional Statements
Conditional Statements
2.2 Deductive Reasoning Objective: I CAN use inductive and deductive reasoning to make and defend conjectures. 1 Serra - Discovering Geometry Chapter.
Lesson 2-1 Conditional Statements. Conditional Statement Defn. A conditional statement is a statement that can be written as an if- then statement. That.
Conditional Statements Conditional Statement: “If, then” format. Converse: “Flipping the Logic” –Still “if, then” format, but we switch the hypothesis.
Learning Targets I can recognize conditional statements and their parts. I can write the converse of conditional statements. 6/1/2016Geometry4.
Conditional Statements. Standards/Objectives: Students will learn and apply geometric concepts. Objectives: –Recognize and analyze a conditional statement.
Conditional Statements Lesson 2-1. Conditional Statements have two parts: Hypothesis ( denoted by p) and Conclusion ( denoted by q)
Section 2-2: Biconditional and Definitions TPI 32C: Use inductive and deductive reasoning to make conjectures Objectives: Write the inverse and contrapositive.
Conditional Statement
 What are conditionals & biconditionals?  How do you write converses, inverses, and contrapositives?
Conditional Statement A conditional statement has two parts, a hypothesis and a conclusion. When conditional statements are written in if-then form, the.
Section 2.2 Conditional Statements 1 Goals Recognize and analyze a conditional statement Write postulates about points, lines, and planes using conditional.
Conditional Statements Section 2-3 Conditional Statements If-then statements are called conditional statements. The portion of the sentence following.
2.2.1 Analyze Conditional Statements and Proof Chapter 2: Reasoning and Proof.
Section 2-2: Conditional Statements. Conditional A statement that can be written in If-then form symbol: If p —>, then q.
Unit 01 – Lesson 07 – Conditional Statements
Section 2-1: Conditional Statements TPI 32C: Use inductive and deductive reasoning to make conjectures, draw conclusions,
Section 2-2: Biconditionals and Definitions. Conditional: If two angles have the same measure, then the angles are congruent. Converse: If two angles.
Section 2.2 Analyze Conditional Statements. What is an if-then statement? If-then statements can be used to clarify statements that may seem confusing.
Section 2.1 Geometric Statements. Definitions: Conditionals, Hypothesis, & Conclusions: A conditional statement is a logical statement that has two parts:
2-3 Biconditionals and Definitions Objective: To write biconditionals and recognize good definitions.
2.1, 2.2 and 5.4: Statements and Reasoning. Conditional is an if-then statement that contains two parts. The part following the if is the Hypothesis.
Conditional Statements Mrs. Spitz Modifyied by Mrs. Ortiz-Smith Geometry.
Lesson 2-1 Conditional Statements 1 Lesson 2-3 Conditional Statements.
Inductive and Deductive Reasoning. Notecard 30 Definition: Conjecture: an unproven statement that is based on observations or given information.
Section 2.2 Homework Quiz Question Put the following Conditional Statement into If Then Form: All birds have feathers.
Lesson 2-1 LESSON 2-1 CONDITIONAL STATEMENTS 1 Conditional Statements.
Conditional Statements
2.2 – Analyze Conditional Statements
Chapter 1 Lessons 1-4 to 1-8.
Conditional Statements
Conditional Statements
Conditional Statements
2-2 Conditional Statements
G.1ab Logic Conditional Statements Modified by Lisa Palen.
If-Then Statements/Converses
Conditional Statements
Conditional Statements
2.1 Conditional Statements
2.2 Analyze Conditional Statements
Conditional Statements
Conditional Statements
Conditional Statements
Conditional Statements
Conditional Statements
Chapter 2.2 Notes: Analyze Conditional Statements
G7 Conditional Statements
More Conditional Statements
Logic and Reasoning.
Proving Lines Parallel
2-3 Conditional Statements
Conditional Statements
Conditional Statements
Conditional Statements
Different Forms of Conditional Statements
Presentation transcript:

Conditional Statements Lesson 2-1 Conditional Statements Lesson 2-1 Conditional Statements

Conditional Statement Definition: A conditional statement is a statement that can be written in if-then form. “If _____________, then ______________.” Example: If your feet smell and your nose runs, then you're built upside down. Continued…… Lesson 2-1 Conditional Statements

Lesson 2-1 Conditional Statements Symbolic Logic Symbols can be used to modify or connect statements. Symbols for Hypothesis and Conclusion: Hypothesis is represented by “p”. Conclusion is represented by “q”. if p, then q or p implies q Continued….. Lesson 2-1 Conditional Statements

Forms of Conditional Statements Converse: Switch the hypothesis and conclusion (q  p) pq If two angles are vertical, then they are congruent. qp If two angles are congruent, then they are vertical. Continued….. Lesson 2-1 Conditional Statements

Forms of Conditional Statements Inverse: State the opposite of both the hypothesis and conclusion. (~p~q) pq : If two angles are vertical, then they are congruent. ~p~q: If two angles are not vertical, then they are not congruent. Lesson 2-1 Conditional Statements

Forms of Conditional Statements Contrapositive: Switch the hypothesis and conclusion and state their opposites. (~q~p) pq : If two angles are vertical, then they are congruent. ~q~p: If two angles are not congruent, then they are not vertical. Lesson 2-1 Conditional Statements

Forms of Conditional Statements Contrapositives are logically equivalent to the original conditional statement. If pq is true, then qp is true. If pq is false, then qp is false. Lesson 2-1 Conditional Statements

Lesson 2-1 Conditional Statements Biconditional When a conditional statement and its converse are both true, the two statements may be combined. Use the phrase if and only if (sometimes abbreviated: iff) Statement: If an angle is right then it has a measure of 90. Converse: If an angle measures 90, then it is a right angle. Biconditional: An angle is right if and only if it measures 90. Lesson 2-1 Conditional Statements