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Conditional Statements Chapter 2 Section 1

Conditional Statements Chapter 2 Section 1. What is a conditional? A statement in “if-then” form ◦ If you do your work, then you can go out. ◦ If an animal

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Page 1: Conditional Statements Chapter 2 Section 1. What is a conditional? A statement in “if-then” form ◦ If you do your work, then you can go out. ◦ If an animal

Conditional StatementsChapter 2 Section 1

Page 2: Conditional Statements Chapter 2 Section 1. What is a conditional? A statement in “if-then” form ◦ If you do your work, then you can go out. ◦ If an animal

What is a conditional?A statement in “if-then” form

◦If you do your work, then you can go out.

◦If an animal barks, then it is a dog.

Page 3: Conditional Statements Chapter 2 Section 1. What is a conditional? A statement in “if-then” form ◦ If you do your work, then you can go out. ◦ If an animal

Two parts to a conditionalhypothesis

◦the “if” part of a conditional (NOT including the word “If”)

conclusion◦the “then” part of a conditional (NOT

including the word “then”)

Page 4: Conditional Statements Chapter 2 Section 1. What is a conditional? A statement in “if-then” form ◦ If you do your work, then you can go out. ◦ If an animal

ExamplesIdentify the hypothesis and conclusion

◦ If Texas won the 2006 Rose Bowl game, then Texas was college football’s 2005 national champion.

◦ If t-38=3, then t=41

◦ If a number is even, then the number is divisible by 2.

◦ If two lines intersect, then their intersection is a point.

Page 5: Conditional Statements Chapter 2 Section 1. What is a conditional? A statement in “if-then” form ◦ If you do your work, then you can go out. ◦ If an animal

More examples…You can go to the dance on

Saturday, if you study for your math test.

If wishes were horses, beggars would ride.

All rectangles have four sides.

Page 6: Conditional Statements Chapter 2 Section 1. What is a conditional? A statement in “if-then” form ◦ If you do your work, then you can go out. ◦ If an animal

Writing a conditionalA rectangle has four sides.

◦If ________________________________, then _____________________________.

A tiger is an animal.◦If ________________________________,

then _____________________________.

Page 7: Conditional Statements Chapter 2 Section 1. What is a conditional? A statement in “if-then” form ◦ If you do your work, then you can go out. ◦ If an animal

More examples…An integer that ends with 0 is

divisible by 5.◦If ________________________________,

then _____________________________.

A square has four congruent sides.◦If ________________________________,

then _____________________________.

Page 8: Conditional Statements Chapter 2 Section 1. What is a conditional? A statement in “if-then” form ◦ If you do your work, then you can go out. ◦ If an animal

CounterexampleA situation where the hypothesis

is true, but the conclusion is false.

Find a counterexample for the following conditionals:◦If it is February, then there are only

28 days in the month. Counterexample: during leap year,

February has 29 days

Page 9: Conditional Statements Chapter 2 Section 1. What is a conditional? A statement in “if-then” form ◦ If you do your work, then you can go out. ◦ If an animal

ExamplesIf the name of a state contains

the word “New”, then the state borders an ocean.

Counterexample: New Mexico


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