Chapter 2 Review Conditional Statements Laws of Logic.

Slides:

Advertisements

Similar presentations

Bell Work 1) Write the statement in “If/Then” Form. Then write the inverse, converse, and contrapositive: a) A linear pair of angles is supplementary.

Advertisements

Conditional Statements

Section 2.1 Notes Conditional Statements. Conditional Statement A type of logic statement that has two parts: a hypothesis and a conclusion We will write.

2.2 Conditional Statements Goal: Students will be able:  To recognize conditional statements and their parts.  To write converses, inverses, and contrapositives.

2.2 Analyzing Conditional Statements. Conditional Statements: Conditional Statement (In “If-Then” form): “If it is a bird, then it has feathers.” Ex.

Analyze Conditional Statements

Conditional Statements

Jeopardy Chapter 2.

Analyzing Conditional Statements A _______________________________ is a logical statement that has two parts, a hypothesis and a conclusion.

2.1 Conditional Statements Goals Recognize a conditional statement Write postulates about points, lines and planes.

10/21/2015Geometry1 Section 2.1 Conditional Statements.

10/21/2015Geometry1 Conditional Statements. 10/21/2015Geometry2 Goals Recognize and analyze a conditional statement Write postulates about points, lines,

2.1 Conditional Statements. Conditional Statement  Conditional statement has two parts, hypothesis and a conclusion.  If _____________, then____________.

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.

Lesson 2-3 Conditional Statements. 5-Minute Check on Lesson 2-2 Transparency 2-3 Use the following statements to write a compound statement for each conjunction.

Wednesday, October 24 th Aim: In what other ways can we potentially change the truth value of a conditional statement? Do Now: Write a TRUE conditional.

Conditional Statements Lesson 2-1. Conditional Statements have two parts: Hypothesis ( denoted by p) and Conclusion ( denoted by q)

Section 2-2 Biconditional Statements. Biconditional statement a statement that contains the phrase “if and only if”. Equivalent to a conditional statement.

Conditional Statements

2.2 – Analyze Conditional Statements. Conditional Statement Hypothesis Conclusion Logical statement written in if-then form. If p, then q. pqpq Statement.

 What are conditionals & biconditionals?  How do you write converses, inverses, and contrapositives?

Unit 2 Part 1 Conditional, Converse, Inverse, and Contra- Positive Statements.

Section 2.2 Conditional Statements 1 Goals Recognize and analyze a conditional statement Write postulates about points, lines, and planes using conditional.

Inductive and Deductive Reasoning. Notecard 30 Definition: Conjecture: an unproven statement that is based on observations or given information.

Chapter 2.2 Notes: Analyze Conditional Statements Goal: You will write definitions as conditional statements.

Section 2-1 Conditional Statements. Conditional statements Have two parts: 1. Hypothesis (p) 2. Conclusion (q)

2.2.1 Analyze Conditional Statements and Proof Chapter 2: Reasoning and Proof.

Section 2.2 Analyze Conditional Statements. Homework Pg 82 #3-5, 11-15,

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

Day 3. Warm Up Find the distance and midpoint between the two points below.

Do Now. Law of Syllogism ◦ We can draw a conclusion when we are given two true conditional statements. ◦ The conclusion of one statement is the hypothesis.

Section 2-2: Biconditionals and Definitions. Conditional: If two angles have the same measure, then the angles are congruent. Converse: If two angles.

Inductive and Deductive Reasoning. Definitions: Conditionals, Hypothesis, & Conclusions: A conditional statement is a logical statement that has two parts:

2.1 Conditional Statements Goal 1: Recognizing Conditional Statements Goal 2: Using Point, Line, and Plane Postulates CAS 1,3.

2.3 Deductive Reasoning Geometry. Standards/Objectives Standard 3: Students will learn and apply geometric concepts. Objectives: Use symbolic notation.

Applied Geometry Lesson 1-4 Conditional Statements & Their Converses Objective: Learn to write statements in if-then form and write the converses of the.

Conditional Statements A conditional statement is a statement that can be written in “if-then” form. The hypothesis of the statement is the phrase immediately.

Unit 2-2: Conditional Statements Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School

Conditional Statments. Warm Up What is the fourth point of plane XUR Name the intersection of planes QUV and QTX Are point U and S collinear?

2.3 Deductive Reasoning Geometry. Standards/Objectives Standard 3: Students will learn and apply geometric concepts. Objectives: Use symbolic notation.

2.1 CONDITIONAL STATEMENTS 10/2. Learning Targets I can find the truth value given a conditional and a converse I can rewrite a statement as a conditional.

Section 2.3: Deductive Reasoning

Section 2.1 Geometric Statements. Definitions: Conditionals, Hypothesis, & Conclusions: A conditional statement is a logical statement that has two parts:

Warm up… Write the converse, inverse, and contrapositive. Whole numbers that end in zero are even. Write as a biconditional. The whole numbers are the.

2-3 Biconditionals and Definitions Objective: To write biconditionals and recognize good definitions.

Inductive and Deductive Reasoning. Notecard 29 Definition: Conjecture: an unproven statement that is based on observations. You use inductive reasoning.

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.

Inductive and Deductive Reasoning. Notecard 30 Definition: Conjecture: an unproven statement that is based on observations or given information.

2-2 Analyze Conditional Statements Hubarth Geometry.

Section 2.2 Homework Quiz Question Put the following Conditional Statement into If Then Form: All birds have feathers.

Conditional Statements A conditional statement has two parts, the hypothesis and the conclusion. Written in if-then form: If it is Saturday, then it is.

Conditional & Biconditional Statements Chapter 2 Section 2 1.

Conditional & Biconditional Statements Chapter 2 Section 4.

Chapter 2: Reasoning & Proof Conditionals, Biconditionals, & Deductive Reasoning.

2.2 – Analyze Conditional Statements

Classify each of the following angles as acute, right, or obtuse.

2-1 Vocabulary conditional statement hypothesis/conclusion

Conditional Statements

A logic statement written in if-then form.

Copyright © 2014 Pearson Education, Inc.

2.3 Deductive Reasoning.

Conditional Statements

Conditional Statements

Pearson Unit 1 Topic 2: Reasoning and Proof 2-3: Biconditionals and Definitions Pearson Texas Geometry ©2016 Holt Geometry Texas ©2007.

Logic and Reasoning.

Chapter 2 Reasoning and Proof.

4.4: Analyze Conditional Statements.

Presentation transcript:

Chapter 2 Review Conditional Statements Laws of Logic

Vocabulary Conditional statement If-then form Hypothesis Conclusion Negation

Vocabulary Converse Inverse Contrapositive Equivalent Statements Biconditional Statement

Rewrite the conditional statement in if-then form. All vertebrates have a backbone. All triangles have three sides. When x = 2, x ² = 4.

Rewrite the conditional statement in if-then form. I use my umbrella when it rains. The back-up lights are on when a car is in reverse. You will get coal in your stocking if you’ve been naughty.

Write four related conditional statements. Write the if-then form, the converse, the inverse, and the contrapositive of the conditional statement “Olympians are athletes.” Decide whether each statement is true or false.

Write four related conditional statements. Write the if-then form, the converse, the inverse, and the contrapositive of the conditional statement “Squares are rectangles.” Decide whether each statement is true or false.

Write four related conditional statements. Write the if-then form, the converse, the inverse, and the contrapositive of the conditional statement “Running a marathon is exhausting.” Decide whether each statement is true or false.

Write a Biconditional To write a definition as a biconditional, first write the statement in if-then form. Next, write the converse of the if-then statement. Finally, combine the two statements with “if and only if”.

Write the definition of parallel lines as a biconditional. Definition: If two lines lie in the same plane and do not intersect, then they are parallel.

Decide whether the statement is true or false. If false, provide a counterexample.

Read the statement, then the phrase. Tell if the phrase is the hypothesis or conclusion. 1.If you build it then they will come. you build it 2.If two lines in a plane are parallel then they will not intersect. they will not intersect 3.If you fill your sink with water then you can wash the dishes. you can wash the dishes

Read the statement, then the phrase. Tell if the phrase is the hypothesis or conclusion. 1.If a triangle has a right angle then it is a right triangle. a triangle has a right angle 2.If an angle measures 24° then it is acute. it is acute 3.If you are a fish then you live in the water. you are a fish

Symbolic Notation Conditional statements can be written using symbolic notation, where p represents _____________________, q represents _________________________, and → is read as __________________________.

Symbolic Notation If p → q represents a conditional statement, use symbolic notation to represent the converse, inverse, contrapositive and biconditional.

Symbolic Notation

Laws of Logic Write the following laws of logic using symbolic notation. Modus Ponens Modus Tollens Law of Syllogism Law of Contrapositive

Laws of Logic Which law of logic is represented? p → q, q → r, p → r p → q, ~q, ~p p → q, ~q → ~p p → q, p, q

Laws of Logic Translate each argument into symbolic form and identify the rule that makes it valid. If Jed gets a C on the exam, then he will get an A for the semester. Jed got a C on the exam. Jed will make an A for the semester.

Laws of Logic Translate each argument into symbolic form and identify the rule that makes it valid. If the car is running, then the key is in the ignition. The key is not in the ignition. The car is not running.

Laws of Logic Translate each argument into symbolic form and identify the rule that makes it valid. If Marie cooks, then there is smoke. There is not smoke, so Marie is not cooking.

Laws of Logic Translate each argument into symbolic form and identify the rule that makes it valid. If Mike visits Alabama, then he will spend the day in Montgomery. If Mike spends the day in Montgomery, then he will visit the Civil Rights Memorial. If Mike visits Alabama, then he will visit the Civil Rights Memorial.