Geometry: Common Core (15th Edition)

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

Chapter 5 - Relationships Within Triangles - 5-4 Medians and Altitudes - Practice and Problem-Solving Exercises - Page 312: 12


Therefore, the red segment is neither a median nor an altitude.

Work Step by Step

The red segment is not a median because it is not coming from one of the vertices of the triangle, although it does split $\overline{AB}$ into two congruent segments. The red segment is not an altitude either because although it is perpendicular to $\overline{AB}$, it is not originating from one of the vertices of the triangle.
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