Final Exam
Introduction to Geometry MTH 210
Lindsey Arthur
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1.
Determine if the conclusion follows logically from the premises and state whether
the reasoning is inductive or deductive.
Premise
: If you are a mathematics major, then you can compute discounts on sale
items.
Premise:
Becky is a mathematics major.
Conclusion
: Becky can compute discounts on sale items.
Answer: The conclusion follows logically; deductive reasoning
2.
If
and
and R and S are supplementary, find y.
Answer: y=20
(30 – y) + (9y – 10) = 180
20 – 8y = 180
8y = 160
Y = 20
3.
Give the inverse of the statement:
If it’s gold, then it glitters.
If it’s not gold, then it doesn’t glitter
4.
Explain your reasoning in one or two complete sentences.
Can two
supplementary angles both be obtuse?
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No, because an obtuse angle is greater than 90° and the sum of two angles
would be greater than 90 and not equal to 180.
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 Winter '11
 Arthur
 Logic, Geometry, Regular polygon

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