Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 1 - Section 1.5 - The Formal Proof of a Theorem - Exercises - Page 68: 12

Answer

Based upon the hypothesis of a theorem, drawings of different students do not have to be identical.

Work Step by Step

Based upon the hypothesis of a theorem, drawings of different students do not have to be identical. As long as the drawings uphold the statement of the hypothesis, different students can produce drawings which differ in insignificant ways. For example, different students can use different labels for vertices, produce diagrams of different sizes, use different colors of ink, use different drawing styles, etc... As long as the essential information satisfies the hypothesis, then variations in drawings are acceptable.
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