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H ONORS G EOMETRY 2-1 I NDUCTIVE R EASONING & C ONJECTURE 2-2 L OGIC 2-3 C ONDITIONAL STATEMENTS.

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Presentation on theme: "H ONORS G EOMETRY 2-1 I NDUCTIVE R EASONING & C ONJECTURE 2-2 L OGIC 2-3 C ONDITIONAL STATEMENTS."— Presentation transcript:

1 H ONORS G EOMETRY 2-1 I NDUCTIVE R EASONING & C ONJECTURE 2-2 L OGIC 2-3 C ONDITIONAL STATEMENTS

2 V OCABULARY If-then Statements Conditional Statements Hypothesis Conclusion Converse Inverse Contrapositive

3 E X 1: Change the conditional statement below to IF-THEN form then identify the HYPOTHESIS and CONCLUSION. Studying results in good grades

4 E X 1: Change the conditional statement below to IF-THEN form then identify the HYPOTHESIS and CONCLUSION. Studying results in good grades If you study, then you will make good grades. H: you study C: you will make good grades Hypothesis/Conclusion DOES NOT include the If and Then

5 Y OU T RY : Change the statement below to IF-THEN form then identify the HYPOTHESIS and CONCLUSION A polygon with six sides is a hexagon. Hypothesis/Conclusion DOES NOT include the If and Then

6 Y OU T RY : Change the statement below to IF-THEN form then identify the HYPOTHESIS and CONCLUSION A polygon with six sides is a hexagon. If a polygon has six sides, then it is a hexagon. H: a polygon has six sides C: it is a hexagon Hypothesis/Conclusion DOES NOT include the If and Then

7 C HANGING A CONDITIONAL STATEMENT The three most common ways to change a conditional statement are by taking its: Inverse, Converse, or Contrapositive. In each case, either the hypothesis and the conclusion switch places, or a statement is replaced by its negation.

8 C HANGING A CONDITIONAL STATEMENT

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15 Y OUR TURN. W RITE EACH STATEMENT AND STATE ITS TRUTH VALUE.

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17 T ICKET O UT THE D OOR : Write the If-Then Conditional, Converse, Inverse, and Contrapositive. “Those who do not remember the past are condemned to repeat it.” – George Santayana

18 T ICKET O UT THE D OOR :


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