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

Slides:

Advertisements

Similar presentations

2.2: If-Then Statements p

Advertisements

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.

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

Conditional Statements

2-2 Conditional Statements

Warm Up Determine if each statement is true or false. 1. The measure of an obtuse angle is less than 90°. 2. All perfect-square numbers are positive. 3.

Section 2.2 Analyze 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,

Conditional Statement Review Geometry – Section 2.2.

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.

Warm Up Week 6 m ∡ 9 = 33º ) What is m ∡ 7? 2) What is m ∡ 8?

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.

Section 2-1: Conditional Statements Goal: Be able to recognize conditional statements, and to write converses of conditional statements. If you eat your.

Inductive/Dedu ctive Reasoning Using reasoning in math and science.

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 Statements

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 2.1 Conditional Statements. Conditional Statement A sentence in if-then form. “If” part – hypothesis “Then” part – conclusion.

Chapter Conditional statements. * Identify, write, and analyze the truth value of conditional statements. * Write the inverse, converse, and contrapositive.

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

Related Conditional Statements 2-1B What are the three related conditional statements? How are the three related conditional statements made?

Conditional Statements Goal: Be able to recognize conditional statements, and to write converses of conditional statements. If you eat your vegetables,

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.

5-4 Inverses, Contrapositives, and Indirect Reasoning

Warm Up Week 7 1) find the slope between the two points: ( 2, -9 ) and ( -13, 21 )

Warm up 1.Re-write the following statements as an if-then statement. 2.State the converse of the statement. a.The midpoint of a segment is a point that.

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

Chapter 2 Section 2-1: Conditional Statements

3.5/3.7 Converses, Negations and Contrapositives Warm-up (IN) Learning Objective: to write converses, inverses and contrapositives and use them in logical.

Lesson 2.1 Conditional Statements. Conditional Statement Two parts: hypothesis and conclusion If-then form.

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

By phrasing a conjecture as an if-then statement, you can quickly identify its hypothesis and conclusion.

2.1 – Conditional Statements  Conditional Statement  If-Then Form  Hypothesis  Conclusion  Converse  Negation  Inverse  Contrapositive  Equivalent.

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.

Inverse, Contrapositive & indirect proofs Sections 6.2/6.3.

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

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

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

2.2 Conditional Statements Objective: Students will analyze statements in if-then form and write the converse, inverse, and contrapositive of if-then statements.

If-then statements April 4, What is an if-then statement? One of the postulates we looked at earlier stated: If B is between A and C, then AB +

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

Conditional Statements Section 2-2. Objective Students will be able to recognize conditional statements and their parts to write converses, inverses,

CONDITIONAL STATEMENTS If-Then Statements Section 2.2.

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.

Conditional Statements. 1) To recognize conditional statements and their parts. 2) To write converses, inverses, and contrapositives of conditionals.

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

Conditional Statements

Conditional Statements

2.1 Conditional Statements

Section 1.8: Statements of Logic

Conditional Statements

2-2 Conditional Statements

2.1 Conditional Statements

Conditional Statements

Warmup State whether each sentence is true or false.

Conditional Statements

Chapter 2.2 Notes: Analyze Conditional Statements

DRILL What would be the coordinates of the point (-2, 4) if it was reflected over the y-axis? If you dilate the point (-3, 9) using a scale factor of 1/3,

Logic and Reasoning.

Angles, Angle Pairs, Conditionals, Inductive and Deductive Reasoning

Conditional Statements

Presentation transcript:

Conditional Statements Section 2-3

Conditional Statements If-then statements are called conditional statements. The portion of the sentence following if is called the hypothesis. The part following then is called the conclusion. p q (If p, then q)

If it is an apple, then it is a fruit. Hypothesis – It is an apple. Conclusion – It is a fruit. pq

Converse q p The converse statement is formed by switching the hypothesis and conclusion. If it is an apple, then it is a fruit. Converse: If it is a fruit, then it is an apple. The converse may be true or false.

negation – the denial of a statement Ex. “An angle is obtuse.” Negation – “An angle is not obtuse.”

Inverse ~p ~q An inverse statement can be formed by negating both the hypothesis and conclusion. If it is an apple, then it is a fruit. Inverse: If it is not an apple, then it is not a fruit. The inverse may be true or false.

Contrapositive ~q ~p A contrapositive is formed by negating the hypothesis and conclusion of the converse. If it is an apple, then it is a fruit. Contrapositive: If it is not a fruit, then it is not an apple. The contrapositive of a true conditional is true and of a false conditional is false.