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Essential Question: Write a conditional statement in three different ways.

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C ONDITIONAL S TATEMENTS : S ENTENCES THAT CONTAIN BOTH A HYPOTHESIS AND A CONCLUSION. I F -T HEN S TATEMENTS : A TYPE OF CONDITIONAL STATEMENT H YPOTHESIS : F OLLOWS THE “ IF ” IN AN IF - THEN STATEMENT C ONCLUSION : F OLLOWS THE “ THEN ” IN AN IF - THEN STATEMENT

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Identify the hypothesis and conclusion in the statements below: If it is Saturday, then Elisa plays soccer Hypothesis: Conclusion: If two lines intersect, then their intersection is a point. Hypothesis: Conclusion: It is Saturday Elisa plays soccer Two lines intersect Their intersection is a point

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A conditional statement doesn’t always follow the if-then model. If you are a member of Congress, then you are a U.S. citizen. All members of Congress are U.S. citizens. You are a U.S. citizen if you are a member of Congress. If A, then B All A are B B if A Tweaking may need to be done to make your new sentences grammatically correct

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Write two other forms of the statement: If points are collinear, then they are on the same line. All collinear points lie on the same line Points lie on the same line if they are collinear

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C ONVERSE : A N EXCHANGE OF THE HYPOTHESIS AND CONCLUSION PARTS OF A CONDITIONAL STATEMENT. Example: If a figure is a triangle, then it has three angles. Converse: If a figure has three angles, then it is a triangle. If you are at least 16 years old, then you can get a driver’s license. a figure is a triangle it has three angles a figure has three angles it is a triangle If you can get a driver’s license, then you are at least 16 years old

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Assignment 1-4 Practice

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Identify the hypothesis and the conclusion of each conditional statement. 1.If x > 10, then x > 5. 2.If you live in Milwaukee, then you live in Wisconsin.

Identify the hypothesis and the conclusion of each conditional statement. 1.If x > 10, then x > 5. 2.If you live in Milwaukee, then you live in Wisconsin.

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