Elementary Geometry for College Students (7th Edition)

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

Chapter 7 - Section 7.1 - Locus of Points - Exercises - Page 327: 6


Segment ED is the perpendicular bisector of segment AC.

Work Step by Step

Step 1: Place the compass point on A. Set the compass width to about two-thirds the length of AC. The exact setting of the compass does not matter. Step 2: Draw a long arc that begins well above segment AC and ends well below the segment. Step 3: Without changing the compass' setting, place the compass point on C and draw a long arc that intersects the previous arc above and below segment AC. 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 AC.
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