Hypothesis and Conclusion
Write the conditional, Give a valid Conclusion
True/False
Counterexample
Inverse, Converse, and Contrapositive
Biconditional,
If and only if
100
If it is Friday, then there is a Football game. Give the hypothesis
It is Friday
100
December 25th is Christmas
If it is December 25th, then it is Christmas.
100
If it is October 31st, then it is Halloween. True / False -- with counterexample
True
100
If I am eating supper then I am using a fork. Give the Inverse
If I am not eating supper then I am not using a fork
100
Combine using IF and only If If the tea kettle is whistling then the water is boiling.
The tea kettle is whistling if and only if the water is boiling.
200
If the floor is wet, then it was just mopped. Give the conclusion
it was just mopped
200
Sally reads her book afterschool.
If Sally is reading her book then it is afterschool
200
If it is Friday, then I will take a test.
False, The Friday could be in the summer.
200
If I am eating supper, then I am using a fork. Give the Converse
If I am eating supper, then I am using a fork.
200
Write the biconditional using if and only if. If I make an A on a test then I made at least a 90.
I make an A on the test if and only if I make at least a 90.
300
If I study, then I will pass the test. Give the Conclusion
I will pass the test
300
All monkees climb trees. Jake is climbing a tree. Write the conclusion
No Conclusion. Jake could be a person, lizard, or something else that climbs trees.
300
If I live in Houston, then I like the Houston Texans. True/ False -- give counterexample
False -- I could not like football or be a Saints fan.
300
If I am eating supper then I am using a fork. Give the contrapositive
If I am not using a fork then it is not supper.
300
Write the bicondional using if and only if If line segments are the same length, then they are congruent
Line segments are the same length if and only if they are congruent.
400
If my printer will not print, then it is out of paper. Give the Conclusion
It is out of paper.
400
If Sara is wearing red, then it is Friday. If it is Friday, then she will go to the football game. Give a valid conclusion
If Sara is wearing red, then she will go to the football game.
400
If I do my math problems, then I will use a pencil. True/ False -- give counterexample
False -- I used a pen.
400
If my dog wants her treat, then she is howlling. Give the Converse.
If my dog is howlling then she wants her treat.
400
Give the converse to the following biconditional. The football team wins the game if and only if they score more points than the other team.
The football team scores more points than the other team if and only if they win the game.
500
If it is cold, then I wear a jacket. Give the hypothesis
It is cold
500
All birds have feathers. Polly is a bird. Give a Valid conclusion.
Polly has feathers.
500
If there are only 28 days in a month, then it is February.
True -- February is the only month that has only 28 days. Leap year does not affect this statement.
500
If it is after 8pm then my dog wants her treat. Give the Contrapositive
If my dog does not want her treat then it is not after 8pm.
500
Write the biconditional using if and only if. If it is October 28th, then it is my birthday.
It is October 28th if and only if it is my birthday.
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