Unit 1-4 If and Then statements Conditional Statements in Geometry.

Slides:

Advertisements

Similar presentations

Inverses, Contrapositives, and Indirect Reasoning

Advertisements

Inverses, Contrapositives, and Indirect Reasoning

Geometry Chapter 02 A BowerPoint Presentation

2.1 If-Then Statements; Converses

Conditional Statements

Mrs. Rivas Page # 1-21 all and page 132 # all.

Write the negation of “ABCD is not a convex polygon.”

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.

Warm Up: For the given statement, determine the converse, inverse, and contrapositive. Assuming the given statement is true, determine if each new statement.

Do Now (partner #1) p: you live in San Francisco

Conditional Statements

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,

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.

Lesson 2-2: Conditional Logic Summary Original “If …, then …” Conditional Statement Inverse Statement Converse Statement Contrapositive Statement Biconditional.

Conditional Statements

Conditional Statements

Geometry - Section 2.1: Conditional Statements Conditional Statements Section 2.1 A logical statement with two parts: a hypothesis and a conclusion. Ex.

 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.

Inductive Reasoning and Conditional Statements

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.

Test 1 Review Geometry Thursday 9/9/10. Quiz 1 1. Write the following statement as a conditional. Write the hypothesis and the conclusion. Glass objects.

Section 2-2: Biconditionals and Definitions Goal: Be able to write biconditionals and recognize definitions. Conditional Statement: ________________If.

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

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.

 Outside across from the word: › write the symbol for conditional: p -> q  INSIDE: › How to write the statement : If p, then q. › Example : If an angle.

Chapter 2 Section 2 Biconditionals and Definitions.

Conditional Statements Geometry Chapter 2, Section 1.

2.3 CONDITIONAL STATEMENTS Geometry R/H. A Conditional statement is a statement that can be written in the form: If P, then Q. The hypothesis is the P.

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

2-4 Biconditional statement. Objectives Write and analyze biconditional statements.

Geometry Review 1 st Quarter Definitions Theorems Parts of Proofs Parts of Proofs.

GEOMETRY CHAPTER 2 Deductive Reasoning pages

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

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

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.

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

Draw a Logical Conclusion:  If you are a lefty then you struggle to use a can opener.  If you like math then you must be smart.  If you are smart then.

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.

It’s already Tuesday! 1. You need your journal. Unit 1 test is on Friday What did the one wall say to the other wall? I’ll meet you at the corner.

Conditional Statements I CAN… Write conditional, converse, and biconditional statements.

Conditional Statements

Conditional Statements

Section 2.1 Conditional Statements

A logic statement written in if-then form.

2.1 Conditional Statements

Biconditional Statements and Definitions 2-4

Chapter 2 Reasoning and Proof.

Just write down today’s question…

Conditional Original IF-THEN statement.

2.1 conditionals, 2.2 Biconditionals, 5.4 inverse and contrapositive

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

Objective Write and analyze biconditional statements.

Chapter 2.2 Notes: Analyze Conditional Statements

Logic and Reasoning.

Math Humor Teacher: Which month has 28 days? Student: All of them!!

Conditional Statements

Presentation transcript:

Unit 1-4 If and Then statements Conditional Statements in Geometry

Lets Begin—True or False (Truth Value ) 1. If today is July 4, then it is Independence Day. 2. If today is Independence Day, then it is July If today is not July 4, then it is not Independence Day. 4. If today is not Independence Day, then it is not July

More Truth Value 1. If today is Saturday, then it is a weekend day. 2. If today is a weekend day, then it is Saturday. 3. If today is not Saturday, then it is not a weekend day. 4. If today is not a weekend day, then it is not Saturday.

Building Understanding There are two parts to a conditional statement: Hypothesis Conclusion If two points lie on the same line, then they are collinear.

Identify the Hypothesis/Conclusion 1. If three points lie on the same plane, then the points are coplanar. 2. If a shape has 4 equal sides, then it is a square. 3. If a shape has 5 sides, then it is a pentagon. 4. If it is wet outside, then it must have rained.

Converse Statements To create a converse statement– Switch the hypothesis and the conclusion. If an angle measures 90 o, then it is a right angle.

Inverse Statements To create an inverse statement – Add the word not to both the hypothesis and conclusion. If an angle measures 90 o, then it is a right angle.

Contrapositive Statements To create a contrapositive statement – switch the hypothesis and conclusion and add the word not to both the hypothesis and conclusion. If an angle measures 90 o, then it is a right angle.

Bi-Conditional Statements To create an bi-conditional statement (use only if the conditional and converse are true)…..use if and only if to connect the two parts (remove the if and then) If an angle measures 90 o, then it is a right angle.

1. If two angles are supplementary, then their measures add up to 180 o Converse

1. If two angles are supplementary, then their measures add up to 180 o Inverse

1. If two angles are supplementary, then their measures add up to 180 o contrapositive

1. If two angles are supplementary, then their measures add up to 180 o Bi-conditional

2. If a shape is a square, then it has 4 equal sides. Converse

2. If a shape is a square, then it has 4 equal sides. Inverse

2. If a shape is a square, then it has 4 equal sides. Contrapositive

2. If a shape is a square, then it has 4 equal sides. Bi-Conditional