Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 2 - Reasoning and Proof - 2-3 Biconditionals and Definitions - Practice and Problem-Solving Exercises - Page 102: 19


A line, segment or ray is a perpendicular bisector of a segment if and only if it is perpendicular to the segment at its midpoint.

Work Step by Step

Reversing a statement is similar to writing the converse of a conditional in that you switch the phrases at the start and end of the statement. A line, segment or ray that is perpendicular to a segment at its midpoint is a perpendicular bisector. The given statement is reversible, because the reversed statement is true. To write a biconditional, separate the starting and ending phrases with "if and only if".
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