2-2 Conditional Statements

Slides:

Advertisements

Similar presentations

Geometry 2.2 Big Idea: Analyze Conditional Statements

Advertisements

Conditional Statements

CAHSEE W. UP GEOMTRY GAME PLAN Date9/24/13 Tuesday Section / TopicNotes #19: 2.2 Definitions & Biconditional Statements Lesson GoalSTUDENTS WILL BE ABLE.

Conditional Statements

When several examples form a pattern and you assume the pattern will continue, you are applying inductive reasoning. Inductive reasoning is the process.

2.1 Conditional Statements

Conditional Statements

9/23/13 Warm Up 1. Q is between P and R. PQ = 2w – 3 and QR = 4 + w, and PR = 34. Find the value of w, PQ, AND QR. 2. Use the diagram to find the measures.

1 U1-C1-L1 Logic: Conditional Statements. Conditional Statements 2 Conditional Statement Definition:A conditional statement is a statement that can be.

Analyze Conditional Statements

Conditional Statements

2-2 Conditional Statements

Conditional Statements

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.

Logic and Reasoning. Identify the hypothesis and conclusion of each conditional. Example 1: Identifying the Parts of a Conditional Statement A.If today.

Review Complete the chart: pq Conditional p  q Converse _  _ TT TF FT FF.

2.2 Conditional Statements You can describe some mathematical relationships using a variety of if-then statements. A conditional – an if-then statement.

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)

CONDITIONAL STATEMENTS HONORS GEO 1.6. WHAT IS A CONDITIONAL? -A statement that contains “if, then”. -Ex: If you study hard, then you will do well. -Ex:

Section 2-1 Using Deductive Reasoning. If/then statements Called conditional statements or simply conditionals. Have a hypothesis (p) and a conclusion.

Conditional Statement A conditional statement has two parts, a hypothesis and a conclusion. When conditional statements are written in if-then form, the.

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.

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)

Conditional Statements Section 2-3 Conditional Statements If-then statements are called conditional statements. The portion of the sentence following.

Unit 01 – Lesson 07 – Conditional Statements

Logic and Reasoning Conditional Statements. Logic The use and study of valid reasoning. When studying mathematics it is important to have the ability.

Conditional Statements Geometry Chapter 2, Section 1.

2-3 Conditional Statements- Related What are the three related conditional statements? How are the three related conditional statements made?

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

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.

2-2 Conditional Statements Objectives: To recognize conditional statements and their parts To write converses, inverses, and contrapositives of conditionals.

Conditional Statements Mrs. Spitz Modifyied by Mrs. Ortiz-Smith Geometry.

Lesson 2-1 Conditional Statements 1 Lesson 2-3 Conditional Statements.

Inductive Reasoning Notes 2.1 through 2.4. Definitions Conjecture – An unproven statement based on your observations EXAMPLE: The sum of 2 numbers is.

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

Chapter 2: Reasoning and Proof Section Conditional Statements.

Section 2.1 Conditional Statements Standards #1&3 Wednesday, July 06, 2016Wednesday, July 06, 2016Wednesday, July 06, 2016Wednesday, July 06, 2016.

Conditional Statements.  Conditional Statement: A statement that can be written in the form “If p then q.”  Every Conditional Statement has 2 parts:

Chapter 2 Deductive Reasoning

2.1 Conditional Statements

Conditional Statements

Conditional Statements

2.1 Conditional Statements

Conditional Statements

Conditional Statements

Conditional Statements

Conditional Statements

2-2 Conditional Statements

2.1 Conditional Statements

2-2 Conditional Statements

2.1 Conditional Statements

Conditional Statements

2.1-2 Inductive Reasoning and Conditional Statements

Conditional Statements

Conditional Statements

Chapter 2.2 Notes: Analyze Conditional Statements

G7 Conditional Statements

More Conditional Statements

Logic and Reasoning.

2-3 Conditional Statements

Chapter 2 Reasoning and Proof.

Conditional Statements

Different Forms of Conditional Statements

Presentation transcript:

2-2 Conditional Statements Geometry

Conditional Statement A logical statement with 2 parts (if ___, then ___) 2 parts are called the ___________ (p) & __________________ (q) Can be written in “if-then” form; such as, “If…, then…” Hypothesis is the part ______the word “__” Conclusion is the part ____ the word “_____”

Conditional Statement A conditional statement has a ____________ of either true or false. It is false only when the hypothesis is true and the conclusion is false. Ex 1: Underline the hypothesis & circle the conclusion. If you are a brunette, then you have brown hair.

Ex 2: Rewrite the statement in “if-then” form Vertical angles are congruent. 2.) An object weighs one ton if it weighs 2000 lbs.

Counterexample Used to show a ____________statement is false. It must keep the hypothesis ________, but the conclusion ______________!

Ex 3: Find a counterexample to prove the statement is false. If x2=81, then x must equal 9. counterexample:

Negation Writing the opposite of a statement. Ex 4: negate x=3 Ex 5: negate t>5

Converse _________ the hypothesis & conclusion parts of a conditional statement. Ex 6: Write the converse of “If you are a brunette, then you have brown hair.”

Inverse _________the hypothesis AND the conclusion of a conditional statement. Ex 7: Write the inverse of “If you are a brunette, then you have brown hair.”

Contrapositive ___________, then _________ the hypothesis & conclusion of a conditional statement. Ex 8: Write the contrapositive of “If you are a brunette, then you have brown hair.”

The original conditional statement & its contrapositive will always have the same meaning. (Refer to the table on pg. 83) The converse & inverse of a conditional statement will always have the same meaning.

Assignment

hypothesis conclusion