Unformatted text preview: 6. (5 points) Give the statement of Playfair’s Postulate. 7. (25 points) Prove that the statement“Two lines that are parallel to the same line are coincident (the same) or themselves parallel” implies Playfair’s Postulate. 8. (4 points each part) Answer True or False for each part. No explanation is needed and there is no partial credit. (a) If an isometry has two distinct ﬁxed points, then it has an inﬁnite number of ﬁxed points. (b) Every isometry has at least one ﬁxed point. (c) The image of a parallelogram under an isometry is a parallelogram. (d) It is possible to prove Playfair’s Postulate from Euclid’s ﬁve postulates....
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 Spring '09
 malkin
 Math, Geometry, Euclidean geometry, Axiom, Playfair

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