Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 7 - Section 7.1 - Locus of Points - Exercises - Page 317: 5


Segment ED is the perpendicular bisector of segment AB.

Work Step by Step

Step 1: Place the compass point on A. Set the compass width to about two-thirds the length of AB. The exact setting of the compass does not matter. Step 2: Draw a long arc that begins well above segment AB and ends well below the segment. Step 3: Without changing the compass' setting, place the compass point on B and draw a long arc that intersects the previous arc above and below segment AB. Step 4: Label the two arc intersection points as D and E. Using a straightedge, connect points D and E. Step 5: Segment ED is the perpendicular bisector of segment AB.
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