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Mrs. Rivas Page 129-130 # 1-21 all and page 132 # 31-33 all.

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Presentation on theme: "Mrs. Rivas Page 129-130 # 1-21 all and page 132 # 31-33 all."— Presentation transcript:

1 Mrs. Rivas Page # 1-21 all and page 132 # all

2 Mrs. Rivas Conclusion Deductive reasoning Truth value Converse biconditional theorem hypothesis

3 Mrs. Rivas

4 Sample; Portland, Maine.

5 Mrs. Rivas If a person is a motorcyclist, then that person wears a helmet. If two nonparallel lines intersect, then they intersect in one point. If two  s form a linear pair, then the  s are supplementary. If today is a certain holiday, then school is closed.

6 Mrs. Rivas Converse: If the measure of an  is greater than 90 and less than 180, then the  is obtuse. TRUE Inverse: If an angle is not obtuse, then is not true that its measure is greater than 90 and less than 180. TRUE TRUE Contrapositive: If the measure of an ∠ is not greater than 90 and less than 180, then the ∠ is not obtuse. TRUE

7 Mrs. Rivas Converse: If a figure has four sides, then the figure is a square. FALSE, it could be a trapezoid. Inverse: If a figure is not a square, then it does not have four sides. FALSE, it could be a rectangle. TRUE Contrapositive: If a figure doesn’t have four sides, then the figure is not a square. TRUE

8 Mrs. Rivas Converse: If you play an instrument, then you play he tuba. FALSE, you could play the violin. Inverse: If you do not play the tuba, then you do not play an instrument. FALSE TRUE Contrapositive: If you don’t play an instrument, then you don’t play the tuba. TRUE

9 Mrs. Rivas Converse: If you are busy on Saturday night, then you baby-sit. FALSE Inverse: If you do not baby-sit, then you are not busy on Saturday night. FALSE TRUE Contrapositive: If you are not busy on Saturday night, then you will not baby-sit. TRUE

10 Mrs. Rivas Given Segment Addition Post. Substitution Property Distributive Property Substraction Property Division Property

11 Mrs. Rivas BY (P − 2q)


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