NAME________________________________________DATE____________________
GEOMETRY
CLASSWORK: NEGATIONS
In 1 – 8, write the negation of each sentence.
1) The school has a cafeteria.
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2) Georgia is not a city.
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3) A school bus is painted yellow.
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4) 18 + 20 • 3 = 78
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5) The measure of a right angle is 90 degrees.
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6) 1 + 2 + 3 does not equal 4.
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7) There are 100 centimeters in a meter.
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8) Today is not Saturday.
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In 9 – 13, for each given sentence: a) Write the sentence in symbolic form, using the
symbols shown below. b) Then tell if the sentence is true, false, or open.
Let p represent “My favorite color is purple.”
Let q represent “The sun is yellow.”
Let r represent “The sky is silver.”
9) The sky is silver.
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10) My favorite color is not purple.
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11) It is not true that the sun is yellow.
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12) It is not the case that my favorite color is purple._____________________________
13) It is not the case that the sky is not silver.
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In 14 - 17, the symbols represent sentences.
p: “Winter is usually cold.”
q: “I love summer vacation.”
r: “The Yankees play football.”
s: “ Mrs. Binaso has green hair.”
For each sentence given in symbolic form: a) Write a complete sentence in words to
show what the symbols represent. b) Tell if the sentence is true, false, or open.
14) ~ q
15) ~ (~r)
16) ~ p
17) ~ (~ s)
14) ____________________________________________________________________
15) ____________________________________________________________________
16) ____________________________________________________________________
17) ____________________________________________________________________