Presentation is loading. Please wait.

Presentation is loading. Please wait.

Monday August 19th Logic and Conditional Statements

Published byAlbert Chase Modified over 9 years ago

Similar presentations

Presentation on theme: "Monday August 19th Logic and Conditional Statements"— Presentation transcript:

1 Monday August 19th Logic and Conditional Statements
Modules 1-4 and 2-1 p. 29 and p. 46 in your book Holt McDougal Geometry Holt Geometry

2 Vocabulary Conditional Statement – “If…then”, , contains a hypothesis and conclusion Ex: If two angles are vertical angles, then they are congruent

3 If 2 angles are congruent, then they are vertical angles
Converse – interchange (flip) the hypothesis and conclusion If 2 angles are congruent, then they are vertical angles Inverse – Negate both hypothesis and conclusion If two angles are NOT vertical angles, then they are NOT congruent Contrapositive – Interchange & negate both hypothesis and conclusion If 2 angles are NOT congruent, then they are NOT vertical angles

4 True or False Conditional Statement – If 2 angles are vertical angles, then they are congruent Converse –If 2 angles are congruent, then they are vertical angles Inverse –If two angles are NOT vertical angles, then they are NOT congruent Contrapositive – If 2 angles are NOT congruent, then they are NOT vertical angles

5 On your own… Complete the statements for letters a – f and label each statement as “T” or “F”

6 A) If I receive a scholarship, then I will go to college
CONVERSE If I go to college, then I received a scholarship (FALSE) INVERSE If I don’t get a scholarship, then I won’t go to college (FALSE) CONTRAPOSITVE If I didn’t go to college, then I didn’t receive a scholarship (FALSE)

7 B) If a squares side is 5cm, then its area is 25cm2
CONVERSE If a squares area is 25cm2, then its side is 5cm (TRUE) INVERSE If a squares side is NOT 5cm, then its area is NOT 25cm2 (TRUE) CONTRAPOSITVE If a squares area is NOT 25cm2, then its side is NOT 5cm (TRUE)

8 C) If they run a marathon, then they will feel exhausted
CONVERSE If they feel exhausted, then they ran a marathon (FALSE) INVERSE If they don’t run a marathon, then they won’t feel exhausted (FALSE) CONTRAPOSITVE If they don’t feel exhausted, then they didn’t run a marathon (TRUE)

9 D) If a figure is reflected, then its orientation changes.
CONVERSE If the orientation changes, then the figure was reflected (FALSE) INVERSE If the figure isn’t reflected, then its orientation doesn’t change (FALSE) CONTRAPOSITVE If a figures orientation doesn’t change, then the figure wasn’t reflected (TRUE)

10 E) If a quadrilateral is a rhombus, then its an equilateral
CONVERSE If a quad is equilateral, then it’s a rhombus(FALSE) INVERSE If a quad is not a rhombus, then its not equilateral(FALSE) CONTRAPOSITVE If a quad is not equilateral, then its not a rhombus (TRUE)

11 F) If a triangle is isosceles, then it is also equilateral
CONVERSE If a triangle is equilateral, then its isosceles(FALSE) INVERSE If a triangle is not isosceles, then its not equilateral (FALSE) CONTRAPOSITVE If a triangle is not equilateral, then its not isosceles (TRUE)

12 Tuesday August 20th Logic and Conditional Statements
Modules 1-4 and 2-1 p. 29 and p. 46 in your book Holt McDougal Geometry Holt Geometry

13 John lives in atl He lives in ga
If john lives in ga, then he lives in atl If john doesn’t live in atl, then he doesn’t live in ga If john doesn’t live in ga, then he doesn’t live in atl

14 If a conditional statement is true, then its converse is true
If a conditional statement is true, then its inverse is true If a conditional statement is true, then its contrapositive is true

15 Biconditional Statement – When a conditional statement, its converse, inverse and contrapositive are all true. We can use the phrase “if and only if” (iff) or the symbol

16 TRUE TRUE TRUE TRUE Ex: A pentagon is a five-sided polygon
Converse – If a figure is a five-sided polygon, then it’s a pentagon Inverse – If a figure is NOT a pentagon, then its NOT five-sided polygon Contrapositive – If a figure is NOT a five-sided polygon, then its NOT a pentagon Biconditional – A figure is a pentagon if and only if it’s a five-sided polygon TRUE TRUE TRUE TRUE

17 On your own… Complete #’s 4 and 5 on the worksheet

18 4) The only statement that is a biconditional is letter b) If a square’s side is 5cm, then its area is 25cm2 A square’s side is 5cm if and only if its area is 25cm2

19 5) Biconditional Statement Examples…
A figure is a triangle if and only if it’s a polygon with three sides An angle is a right angle if and only if it’s measure is exactly 900

Download ppt "Monday August 19th Logic and Conditional Statements"

Similar presentations

Lesson 2.4 Logical Sequencing & Conditional Statements Objective: Using logical sequencing and conditional statements, converse, inverse, and contrapositive.

Lesson 2.4 Logical Sequencing & Conditional Statements Objective: Using logical sequencing and conditional statements, converse, inverse, and contrapositive.
Logic To write a conditional

Logic To write a conditional
Conditional Statements

Conditional Statements
2.2 Biconditional Statements

2.2 Biconditional Statements
Biconditional Statements and Definitions 2-4

Biconditional Statements and Definitions 2-4
Warm Up: For the given statement, determine the converse, inverse, and contrapositive. Assuming the given statement is true, determine if each new statement.

Warm Up: For the given statement, determine the converse, inverse, and contrapositive. Assuming the given statement is true, determine if each new statement.
2 dimensional shapes and other geometry terms

2 dimensional shapes and other geometry terms
2.2 Analyzing Conditional Statements. Conditional Statements: Conditional Statement (In “If-Then” form): “If it is a bird, then it has feathers.” Ex.

2.2 Analyzing Conditional Statements. Conditional Statements: Conditional Statement (In “If-Then” form): “If it is a bird, then it has feathers.” Ex.
Conditional Statements

Conditional Statements
Conditional Statements

Conditional Statements
Lesson 2-1 Conditional Statements. Conditional Statement Defn. A conditional statement is a statement that can be written as an if- then statement. That.

Lesson 2-1 Conditional Statements. Conditional Statement Defn. A conditional statement is a statement that can be written as an if- then statement. That.
3.5 What’s the Condition? Pg. 16 Conditional Statements.

3.5 What’s the Condition? Pg. 16 Conditional Statements.
Learning Targets I can recognize conditional statements and their parts. I can write the converse of conditional statements. 6/1/2016Geometry4.

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.

Logic and Reasoning. Identify the hypothesis and conclusion of each conditional. Example 1: Identifying the Parts of a Conditional Statement A.If today.
Drill: Mon, 10/27 1. Write a conditional statement for the statement “All Ravens fans are from Maryland” 2. Write the converse of your statement. 3. Write.

Drill: Mon, 10/27 1. Write a conditional statement for the statement “All Ravens fans are from Maryland” 2. Write the converse of your statement. 3. Write.
Holt Geometry 2-4 Biconditional Statements and Definitions 2-4 Biconditional Statements and Definitions Holt Geometry Warm Up Warm Up Lesson Presentation.

Holt Geometry 2-4 Biconditional Statements and Definitions 2-4 Biconditional Statements and Definitions Holt Geometry Warm Up Warm Up Lesson Presentation.
Conditional Statements Lesson 2-1. Conditional Statements have two parts: Hypothesis ( denoted by p) and Conclusion ( denoted by q)

Conditional Statements Lesson 2-1. Conditional Statements have two parts: Hypothesis ( denoted by p) and Conclusion ( denoted by q)
2.2 – Analyze Conditional Statements

2.2 – Analyze Conditional Statements
Holt Geometry 2-4 Biconditional Statements and Definitions 2-4 Biconditional Statements and Definitions Holt Geometry Warm Up Warm Up Lesson Presentation.

Holt Geometry 2-4 Biconditional Statements and Definitions 2-4 Biconditional Statements and Definitions Holt Geometry Warm Up Warm Up Lesson Presentation.
2.2 – Analyze Conditional Statements. Conditional Statement Hypothesis Conclusion Logical statement written in if-then form. If p, then q. pqpq Statement.

2.2 – Analyze Conditional Statements. Conditional Statement Hypothesis Conclusion Logical statement written in if-then form. If p, then q. pqpq Statement.

Similar presentations

Ads by Google