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# Geom 2point1

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### Transcript

• 1. 2.1 Conditional Statements Objectives: - Recognize and analyze a conditional statement - Write postulates about points, lines, & planes using conditional statements
• 2. Recognizing Conditional Statements
• If the caf is serving french fries
• Then I will buy some for lunch
• If I do my homework
• Then I will pass Geometry
• If the digits of a number add up to a number divisible by 3
• Then the original number is divisible by 3
• 3. Recognizing Conditional Statements
• A conditional statement has two parts, a hypothesis and a conclusion
• If hypothesis
• Then conclusion
• 4. Recognizing Conditional Statements
• Rewrite: Two points are collinear if they lie on the same line.
• If two points lie on the same line,
• Then they are collinear
• 5. Recognizing Conditional Statements
• Rewrite: All sharks have a boneless skeleton.
• If the animal is a shark,
• Then it has a boneless skeleton
• 6. Recognizing Conditional Statements
• Rewrite: A number divisible by 9 is also divisible by 3
• If a number is divisible by 9
• Then it is divisible by 3
• 7. Writing the Converse
• The converse of a conditional statement is formed by switching the hypothesis and conclusion.
• Statement: If you see lightning
• Then you hear thunder
• Converse: If you hear thunder
• Then you see lightning
• 8. Writing the Inverse
• A statement can be altered by negation .
• Angle A is acute.
• Angle A is not acute.
• Look at the table on page 72 . . .
• When you negate the hypothesis and conclusion of a conditional statement, you form the inverse.
• When you negate the hypothesis and conclusion of a converse of a conditional statement, you form the contrapositive.
• 9. Writing the Inverse
• When two statements are both true or both false, they are called equivalent statements.
• A conditional statement is equivalent to its contrapositive.
• The inverse and converse of an conditional statement are equivalent.
• 10. Example
• Write the inverse, converse, & contrapositive of:
• If it is September, then apples are ripe.
• Inverse: If it is not September, then apples are not ripe.
• Converse: If apples are ripe, then it is September.
• Contrapositive: If the apples are not ripe, then it is not September.
• 11. Try some
• Page 75, 1-8