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.

Slides:

Advertisements

Similar presentations

2.1 If-Then Statements; Converses

Advertisements

2.2 Biconditional Statements

2-3 Biconditionals and Definitions

Biconditional Statements and Definitions 2-4

Biconditional Statements and Definitions 2-4

Unit 3 Lesson 2.2: Biconditionals

1.1 The Building Blocks of Geometry

Linear Pair Postulate If two angles form a linear pair then they are supplementary.

Section 1.1 Undefined Terms: Point, Line, and Plane Point - Line - Plane -

GEOMETRY REVIEW Look how far we have come already!

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,

Geometry 1-1 Understanding Points, Lines, and Planes.

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.

Biconditionals & Definitions. Biconditional Statement Contains the phrase “if & only if” Abbr. iff It is a conditional statement & its converse all in.

2.2 Definition and Biconditional Statements Use definitions and biconditional statements.

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.

Holt Geometry 2-4 Biconditional Statements and Definitions 2-4 Biconditional Statements and Definitions Holt Geometry Warm Up Warm Up Lesson Presentation.

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

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

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.

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.

Chapter 2 Section 2 Biconditionals and Definitions.

Holt Geometry 2-4 Biconditional Statements and Definitions 2-4 Biconditional Statements and Definitions Holt Geometry Warm Up Warm Up Lesson Presentation.

Warm Up Week 6 1) State the postulate that shows the statement to be false: A line contains at least three points.

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

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.

Chapter 2: Reasoning & Proof 2.2 Biconditionals & Definitions.

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

 When a conditional and its converse are both true, we combine them to make a biconditional.  Example:  Biconditional – An angle is right if and only.

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.

Homework: p #42-50 even Homework: p #42-50 even.

Reasoning and Proof DAY 3: 2.3 Biconditional Statements.

2-3 Biconditionals and Defintions. Biconditional- a statement that is the combination of a conditional statement and its converse. If the truth value.

Conditional & Biconditional Statements Chapter 2 Section 2 1.

Conditional & Biconditional Statements Chapter 2 Section 4.

Geometry Chapter 1 Project By: Joelle Tondi. 1.) A line intersects a plane at a point. This statement is always going to be true.

Objective Write and analyze biconditional statements.

2.2 Definitions and Biconditional Statements

Section 2.1 Conditional Statements

Biconditional Statements and Definitions 2-4

Definitions and Biconditional Statements

Biconditional Statements and Definitions 2-4

2.1 Conditional Statements

Objective Students will… Write and analyze biconditional statements.

Section 2.2 Definitions and Biconditionals

Section 2.2 Definitions and Biconditionals

Biconditional Statements and Definitions 2-4

Biconditional Statements and Definitions 2-4

Biconditional Statements and Definitions 2-4

Biconditional Statements and Definitions 2-4

Biconditional Statements and Definitions 2-4

Biconditional Statements and Definitions 2-4

2.2 Definitions and Biconditional Statements

Biconditional Statements and Definitions 2-4

Biconditional Statements and Definitions 2-2

Biconditional Statements and Definitions 2-4

Reasoning and Proofs Deductive Reasoning Conditional Statement

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

Biconditional Statements and Definitions 2-4

Objective Write and analyze biconditional statements.

Section 2.2 Definitions and Biconditional Statement

Biconditionals and Definitions

Biconditional Statements and Definitions 2-4

Different Forms of Conditional Statements

Presentation transcript:

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 if q Is equivalent to both: If p, then q If q, then p

Write as a Conditional and it’s Converse Two Segments are congruent if and only if they have the same measure. If two segments are congruent, then they have the same measure If two segments have the same measure, then they are congruent

Write as a Conditional and it’s Converse Three points are collinear if and only if they lie on the same line. If three points are collinear, then they lie on the same line If three points lie on the same line, then they are collinear

Four points are coplanar if and only if they lie in the same plane. If four points are coplanar, then they lie in the same plane If four points lie in the same plane, then they are coplanar Write as a Conditional and it’s Converse

You may go to the movies Friday night if and only if you clean your room. If you clean your room, then you may go to the movies Friday night If you go to the movies Friday night, then you cleaned your room Write as a Conditional and it’s Converse

You may become president of the US if and only if you are at least 35 years old. If you are at least 35 years old, then you may become president of the US If you become president of the US, then you are at least 35 years old Write as a Conditional and it’s Converse

Write the Converse If True, write bi-conditional If False, Give Counter Example If you are 15 years old, then you are a teenager. If you are a teenager, then you are 15 years old. Converse: Counter example: A teenager can be 16 years old.

Write the Converse If True, write bi-conditional If False, Give Counter Example If C is on the ray BA, then it’s on the line BA. If C is on the line BA, then it’s on the ray BA. Counter example: A B Hey, Wait for me.

Write the Converse If True, write bi-conditional If False, Give Counter Example If two angles are complementary then the sum of their measures is 90. If the sum of two angles measures is 90 then they are complementary Two angles are complementary if and only if the sum of their measures is 90. √