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Name:______________________________
Geometry lesson 5-1 Statements, negations and compounds
Write the negation for each statement AND give the truth value for your negation.
1. The number 5 is a prime number.
___________________________________________
truth value:_________
2. Parallel lines intersect.
___________________________________________
truth value:_________
3. All chickens lay eggs.
___________________________________________
truth value:_________
4. In the coordinate plane, the x-axis is horizontal.
___________________________________________
truth value:_________
Determine the truth value for each simple statement. Then, using the truth values,
determine the truth value of the compound statement.
_______1. An equilateral triangle has 3 sides equal in length or a rhombus has 5 sides.
_______2. 16 is an even number and 41 is an odd number.
_______3. Perpendicular lines form right angles or right angles contain 180 degrees.
_______4. Julia Roberts is not an actress or Mrs. Jackson is a math teacher.
_______5. A triangle has 3 sides or a square has 5 sides, and a rectangle has 4 sides.
_______6. The empty set has no members and 4 is a factor of 21, or 100 is a multiple of 5 .
_______7. Mrs. Russolello teaches art and Mrs. Kurzban teaches English, or Mrs. Clinton is
the principal.
_______8. Albany and Kingston are cities in New York State or New Paltz is in California.
_______9. 2 is an even number and 9 is an odd number and 11 is not a prime number.
_______10. 36  4  2  28 or 3(5  7) 3  24 or 2  3 2  36 .
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Use the graph below, which shows the number of hours American sleep, to determine the
truth value of each simple statement. Then determine the truth value of the compound
statement.
8 hours or more
32%
4 or fewer
4%
7 hours
30%
5 hours
9%
6 hours
25%
________11. It is false that 30% of Americans get 6 hours of sleep each night and 9% get 5
hours of sleep each night.
________12. Twenty-five percent of Americans get 6 hours of sleep each night and 28%
get 7 hours of sleep each night, or 9% do not get 5 hours of sleep each night.
________13. Thirteen percent of Americans get 5 or fewer hours of sleep each night or 32%
get 6 or more hours of sleep each night, and 30% get 8 or more hours of sleep each night.
_______14. Over one-half of all Americans get 7 or fewer hours of sleep each night, and
over one-quarter get 6 or fewer hours of sleep each night.
Blast from the past:
15) Where is the circumcenter of a right triangle located?______________________
____16) The diagonals of a parallelogram ___________________.
1) are perpendicular
2) are congruent
3) bisect each other
_____17) Write the equation of the line which passes through (-2,4) and (2,0).