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 7 - Section 7.1 - Locus of Points - Exercises - Page 327: 3

Answer

Ray BF is the angle bisector and $\angle$ ABC.

Work Step by Step

To create ray BF: Step 1: Place the compass point on vertex B. Step 2: Adjust the compass to a width that is a little shorter than both sides AB and BC. The setting of the compass does not need to be exact. Step 3: Draw an arc across both sides of the triangle (across sides AB and BC). Label the intersection of the arc and AB as point D. Label the intersection of the arc and BC as point E. Step 4: Without changing the compass setting, place the compass point on D and draw an arc in the interior of $\angle$ ABC. Step 5: Without changing the compass setting, place the compass point on E and draw an arc in the interior of $\angle$ ABC. The two arcs created in step 4 and step 5 should intersect. Label the intersection point F. Step 6: Use a straightedge to draw a line from vertex B through point F, creating a ray. Sep 7: Ray BF is the angle bisector of $\angle$ ABC.
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