Ch. 2.2 Definitions & Biconditional Statements HMWK: p. 82, #s 13 – 33 all Game Plan: Today I will be able to recognize perpendicular lines and biconditional.

Slides:



Advertisements
Similar presentations
Chapter 2 By: Nick Holliday Josh Vincz, James Collins, and Greg “Darth” Rader.
Advertisements

2.1 If-Then Statements; Converses
SECTION 2.1 Conditional Statements. Learning Outcomes I will be able to write conditional statements in if- then form. I will be able to label parts of.
CAHSEE W. UP GEOMTRY GAME PLAN Date9/24/13 Tuesday Section / TopicNotes #19: 2.2 Definitions & Biconditional Statements Lesson GoalSTUDENTS WILL BE ABLE.
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.
Notes on Logic Continued
6.3 Basic Facts About Parallel Planes Objective: recognize lines parallel to planes and skew lines Use properties relating parallel lines relating parallel.
6.3 Parallel Plane Facts Objectives: 1.Recognize lines parallel to planes, parallel lines and skew lines 2.Use properties relating parallel planes and.
2.2 Conditional Statements Goal: Students will be able:  To recognize conditional statements and their parts.  To write converses, inverses, and contrapositives.
Unit 3 Lesson 2.2: Biconditionals
Which of the following values of x and y give the greatest value of z if z=x 2 -2y+106 ? a. x=-5, y=11b. x=2, y=0 c. x=3, y=-2d. x=5, y= warm-up.
Unit 2: Deductive Reasoning
Analyzing Conditional Statements A _______________________________ is a logical statement that has two parts, a hypothesis and a conclusion.
Identify the hypothesis and the conclusion of each conditional statement. 1.If x > 10, then x > 5. 2.If you live in Milwaukee, then you live in Wisconsin.
Conditional Statements Conditional Statement: “If, then” format. Converse: “Flipping the Logic” –Still “if, then” format, but we switch the hypothesis.
Biconditionals & Definitions. Biconditional Statement Contains the phrase “if & only if” Abbr. iff It is a conditional statement & its converse all in.
Identify the hypothesis and the conclusion of each conditional statement. 1.If x > 10, then x > 5. 2.If you live in Milwaukee, then you live in Wisconsin.
1 Biconditional Statements Define and write biconditionals State the characteristics of good definitions.
2.2 Definition and Biconditional Statements Use definitions and biconditional statements.
1 2.2 Definitions & Biconditional Statements Objective: To write biconditionals and recognize good definitions.
Section 2-2 Biconditional Statements. Biconditional statement a statement that contains the phrase “if and only if”. Equivalent to a conditional statement.
2.2 Definitions and Biconditional Statements. Definition Two lines are called perpendicular lines if they intersect to form a right angle. A line perpendicular.
Section 2-1 Using Deductive Reasoning. If/then statements Called conditional statements or simply conditionals. Have a hypothesis (p) and a conclusion.
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)
Unit 01 – Lesson 07 – Conditional Statements
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.
Day 3. Warm Up Find the distance and midpoint between the two points below.
2.2 Definitions and Biconditional Statements
Chapter 2: Reasoning & Proof 2.2 Biconditionals & Definitions.
 If an integer ends with 0, then the integer is divisible by 2.  What is the truth value of the above conditional?  What is the converse?  What is.
Success Criteria:  I can write good definitions  I can identify good definitions Today 1.Do Now 2.Check HW #13 3.Lesson HW # 14 Do Now Write a.
Inductive and Deductive Reasoning. Definitions: Conditionals, Hypothesis, & Conclusions: A conditional statement is a logical statement that has two parts:
Undefined Terms and Definitions 2-2A Why do we need undefined terms? What is a plane? What is a biconditional statement?
2.4 Biconditional Statements and Definitions Textbook pg 96.
2.3 Biconditionals and Definitions 10/8/12 A biconditional is a single true statement that combines a true conditional and its true converse. You can join.
Unit 2-2: Conditional Statements Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School
Ch. 2.1 Conditional Statements HMWK : p.75, #s 10 – 50 even. Game Plan: Today I will be able to 1.Analyze conditional statements 2.Utilize Postulates.
Section 2.1 Geometric Statements. Definitions: Conditionals, Hypothesis, & Conclusions: A conditional statement is a logical statement that has two parts:
Reasoning and Proof DAY 3: 2.3 Biconditional Statements.
2-3 Biconditionals and Definitions Objective: To write biconditionals and recognize good definitions.
2-3 Biconditionals and Defintions. Biconditional- a statement that is the combination of a conditional statement and its converse. If the truth value.
CONDITIONAL STATEMENTS Section 2-1. Objectives  To recognize conditional statements.  To write converses of conditional statements.
Reasoning and Proof Chapter – Conditional Statements Conditional statements – If, then form If – hypothesis Then – conclusion Negation of a statement-
Date: Topic: Segment and Angles (11.3) Warm-up: Use the figure to name the indicated angle in two different ways. A T H M 1 2 Why can’t you use to name.
Warm-Up Exercises GUIDED PRACTICE for Example 1 Rewrite the conditional statement in if-then form. 1. All 90 ° angles are right angles. ANSWER If the measure.
Inductive and Deductive Reasoning. Notecard 30 Definition: Conjecture: an unproven statement that is based on observations or given information.
Inductive Reasoning Notes 2.1 through 2.4. Definitions Conjecture – An unproven statement based on your observations EXAMPLE: The sum of 2 numbers is.
EXAMPLE 4 Write a biconditional Write the definition of perpendicular lines as a biconditional. SOLUTION Definition: If two lines intersect to form a right.
Section 2.2 Homework Quiz Question Put the following Conditional Statement into If Then Form: All birds have feathers.
2.2 Definitions and Biconditional Statements GOAL 1 Recognize and use definitionsGOAL 2 Recognize and use biconditional statements. What you should learn.
Bell Work Find the hypothesis and conclusion 1) If the class behaves, then Mr. Liu will give all the students 5 point extra credit Find the converse 2)
Biconditional Statements p q. Biconditional Statements p q {P iff q} P, if and only if q Is equivalent to both: If p, then q If q, then p P, if and only.
2.2 Definitions and Biconditional Statements
Unit 2: Deductive Reasoning
Analyze Conditional Statements
Conditional Statements
Opener 5. If a number greater than 2 is even, then it’s not prime
Definitions and Biconditional Statements
EXAMPLE 4 Write a biconditional
Section 2.2 Definitions and Biconditionals
Section 2.2 Definitions and Biconditionals
2.2 Definitions and Biconditional Statements
Conditional Statements
Pearson Unit 1 Topic 2: Reasoning and Proof 2-3: Biconditionals and Definitions Pearson Texas Geometry ©2016 Holt Geometry Texas ©2007.
Section 2.2 Definitions and Biconditional Statement
Logic and Reasoning.
Presentation transcript:

Ch. 2.2 Definitions & Biconditional Statements HMWK: p. 82, #s 13 – 33 all Game Plan: Today I will be able to recognize perpendicular lines and biconditional statements. Warm-up: Write the converse of each statement. 1.If M is the midpoint of AB, then AM=MB. 2.You score a goal if the ball crosses the goal line.

Ch. 2.2 Definitions & Biconditional Statements Biconditional Statements When a conditional statement & it’s converse are both true. “if and only if” form Can be rewritten into a conditional statement and the converse

Ch. 2.2 Definitions & Biconditional Statements You may go to the movies Friday night if and only if you clean your room. 1.Is it a biconditional statement? Example 2.Write as a conditional statement & the converse. Conditional Statement: If you want to go to the movies on Friday, then you have to clean your room. Converse: If you clean your room, then you may go to the movies on Friday.

Ch. 2.2 Definitions & Biconditional Statements Perpendicular Lines Perpendicular (  ): two lines that intersect to form a right . –  to a line –  to a plane

Ch. 2.2 Definitions & Biconditional StatementsNotation

Ch. 2.2 Definitions & Biconditional StatementsWrap-up 1.Write a biconditional statement. 2.Rewrite the statement into a conditional statement & it’s converse.