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Honors Geometry
Section 1.5 Conditionals HW
Questions 1-4, Write the condition in if-then form
1.
2.
3.
4.
An acute angle has a measure of less than 90 degrees
All chickens have two wings
Nobody who likes meat is a vegetarian
No students passed this test
Questions 5-7, Find a counterexample (If one does not exist state there is No Counterexample)
5. If you were born in 1990, then on July 1, 2003 you would be 13 years old
6. If you do not go to school tomorrow, then today is Friday
7. If x > -5, then x is positive
Questions 8-10, Write the converse, inverse, and contrapositive of the conditional
8. If cats can fly, then ducks can quack
9. If an animal doesn’t give live birth, then it is not a mammal.
10. All girls think Luke Bryan is cute
Answers
1.
2.
3.
4.
5.
6.
7.
8.
If an angle is acute, then it has a measure of less than 90 degrees
If an animal is a chicken, then it has two wings
If a person likes meat, then the person is not a vegetarian
If I am a student, then I did not pass this test
Born on Sept. 1st, 1990
It snowed 1 foot tonight
X = -2
Conv: If ducks can quack, then cats can fly
Inv: If cats cannot fly, then ducks cannot quack
Contra: If ducks cannot quack, then cats cannot fly
9. Conv: If an animal is not a mammal, then it doesn’t give live birth
Inv: If an animal gives live birth, then it is a mammal
Contra: If an animal is a mammal, then it gives live birth
10. Conv: If I think Luke Bryn is cute, then I am a girl
Inv: If I am not a girl, then I do not think Luke Bryan is cute
Contra: If I do not think Luke Bryan is cute, then I am not a girl
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