Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion.

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Chapter 2 Review

Transcript of Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion.

Page 1: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion.

Chapter 2 Review

Page 2: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion.

Conditional statements have a IF and a THEN.

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Hypothesis Conclusion

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If you are in Mrs. Buric’s Geometry class, then you love Math!

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Hypothesis: you are in Mrs. Buric’s Geometry class

Conclusion: you love Math

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ConverseA converse is a statement that

switches the hypothesis and the conclusion.

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Converse

If you love Math, then you are in Mrs. Buric’s Geometry class!

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CounterexamplesAn example that with given the

hypothesis makes the conclusion false

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Counterexample

If you can fly, then you are a bird.

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Insects

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A biconditional is a statement where the conditional and the converse are both true!

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“p if and only if q” (biconditional)

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Example: Conditional: An angle is right if it

measures 90 degrees.

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Converse: An angle measures 90 degrees if it is a right angle.

TRUE!

TRUE!

Page 10: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion.

Complementary angles

• Add up to 90 degrees

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Supplementary angles

• Add up to 180 degrees

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Perpendicular Lines are two lines that intersect to form right angles (90 degrees).

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Addition Property

If a = b and c = d, then a + c = b + d

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Subtraction Property

If a = b and c = d, then a - c = b - d

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Multiplication Property

If a = b, then ac = bc

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Division Property

If a = b and c 0, then a/c = b/c

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€

≠

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Substitution PropertyIf a = b,

Then either a or b may be substituted for the other

in any equation or inequality

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Reflexive Property

a = a

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Symmetric Property

If a = b, Then b = a

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Transitive Property

If a = b and b =c, Then a = c

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Distributive Property

a(b + c) =ab +ac

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Reflexive Property DE DE<D <D

€

≅

€

≅

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Transitive Property If DE FG and FG JK

then DE JK

€

≅

€

≅

€

≅

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Theorem

If two lines are perpendicular, then they form congruent adjacent angles.

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Theorem

If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary.

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Theorem

If two angles are supplements of congruent angles (or of the same angle), then the two angles are congruent.

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Theorem

If two angles are complements of congruent angles (or of the same angle), then the two angles are congruent.

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Homework

Pg 626 1-11 ALL

PG 6271-11 ALL


15) 17) 18) 1 2 19) 23) 25) Conditional Statement: A conditional statement has two parts, a hypothesis and a conclusion. If-Then Form: the “if” part.

15) 17) 18) 1 2 19) 23) 25) Conditional Statement: A conditional statement has two parts, a hypothesis and a conclusion. If-Then Form: the “if” part.

Statements that are Conditional with a hypothesis and a conclusion. The If part of the statement is the Hypothesis, and the Then part of the statement.

Statements that are Conditional with a hypothesis and a conclusion. The If part of the statement is the Hypothesis, and the Then part of the statement.

Propositional Logic Lecture 2: Sep 9. Conditional Statement If p then q p is called the hypothesis; q is called the conclusion “If your GPA is 4.0, then.

Propositional Logic Lecture 2: Sep 9. Conditional Statement If p then q p is called the hypothesis; q is called the conclusion “If your GPA is 4.0, then.

Introduction Literature Review Hypothesis Research Approach Results Conclusion

Introduction Literature Review Hypothesis Research Approach Results Conclusion

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

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

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)

Review for Final - Geometry A for final.pdf · Review for Final - Geometry A. ... practicing for a week, ... Identify the hypothesis and conclusion of this conditional statement:

Review for Final - Geometry A for final.pdf · Review for Final - Geometry A. ... practicing for a week, ... Identify the hypothesis and conclusion of this conditional statement:

Deductive Reasoning. Conditional Statements can be written using symbolic notation p represents hypothesis q represents conclusion is read as.

Deductive Reasoning. Conditional Statements can be written using symbolic notation p represents hypothesis q represents conclusion is read as.

Scientific Method Collect Facts and Data Hypothesis Test hypothesis Modify hypothesis Conclusion.

Scientific Method Collect Facts and Data Hypothesis Test hypothesis Modify hypothesis Conclusion.

Observation Question Hypothesis Test Hypothesis Result (new hypothesis) Conclusion Leads too…..Scientific Theories (widely tested and accepted.

Observation Question Hypothesis Test Hypothesis Result (new hypothesis) Conclusion Leads too…..Scientific Theories (widely tested and accepted.

Conditional Statements in Propositional Logic Conditional... · 2/11/19 2, 3 If 4,686 is divisible by 6, then 4,686 is divisible by 3 If you study, then you pass hypothesis conclusion

Conditional Statements in Propositional Logic Conditional... · 2/11/19 2, 3 If 4,686 is divisible by 6, then 4,686 is divisible by 3 If you study, then you pass hypothesis conclusion

If-Then Statements. A statement in two parts Hypothesis and Conclusion. Written in the If-Then form If..Hypothesis, then… Conclusion.

If-Then Statements. A statement in two parts Hypothesis and Conclusion. Written in the If-Then form If..Hypothesis, then… Conclusion.

Identify the hypothesis and conclusion of each conditional; write the converse of the conditional; decide whether the conditional and converse are true.

Identify the hypothesis and conclusion of each conditional; write the converse of the conditional; decide whether the conditional and converse are true.

Vocabulary conditional statement if-then statement hypothesis conclusion related conditionals converse inverse contrapositive logically equivalent.

Vocabulary conditional statement if-then statement hypothesis conclusion related conditionals converse inverse contrapositive logically equivalent.

Propositional Logic. Conditional Statement If p then q p is called the hypothesis; q is called the conclusion “If your GPA is 4.0, then you don’t need.

Propositional Logic. Conditional Statement If p then q p is called the hypothesis; q is called the conclusion “If your GPA is 4.0, then you don’t need.

Conditional StatementsConditional Statements for 2.2.pdf · Identify the hypothesis and conclusion of each conditional. 4. Write the converse, inverse, and contrapositive of the conditional

Conditional StatementsConditional Statements for 2.2.pdf · Identify the hypothesis and conclusion of each conditional. 4. Write the converse, inverse, and contrapositive of the conditional

czechowski.weebly.comczechowski.weebly.com/uploads/1/7/0/9/17097518/geometry_1st... · week, he could type 37 ... Identify the hypothesis and conclusion of this conditional statement:

czechowski.weebly.comczechowski.weebly.com/uploads/1/7/0/9/17097518/geometry_1st... · week, he could type 37 ... Identify the hypothesis and conclusion of this conditional statement:

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Conditional Statements M260 2.2. Deductive Reasoning Proceeds from a hypothesis to a conclusion. If p then q. p q hypothesis conclusion.

2.3 Conditional Statements - scott.k12.ky.us · PDF file... the statement is true. The hypothesis is false, ... conclusion of the conditional. Converse: ... Determine whether each

2.3 Conditional Statements - scott.k12.ky.us · PDF file... the statement is true. The hypothesis is false, ... conclusion of the conditional. Converse: ... Determine whether each

Hypothesis Conclusion (Geometry 1_4)

Hypothesis Conclusion (Geometry 1_4)