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: 19

Answer

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".
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.