Geometry: Common Core (15th Edition)

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

Chapter 5 - Relationships Within Triangles - 5-5 Indirect Proof - Practice and Problem-Solving Exercises - Page 321: 19

Answer

If $X$ is a point on the perpendicular bisector of $\overline{AB}$, then $\overline{XB}$ is not congruent to $\overline{XA}$.

Work Step by Step

For the first step in an indirect proof, we have to negate the "then" part of the statement. So we can write that if $X$ is a point on the perpendicular bisector of $\overline{AB}$, then $\overline{XB}$ is not congruent to $\overline{XA}$.
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