Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - 4-7 Congruence in Overlapping Triangles - Practice and Problem-Solving Exercises - Page 271: 36


The coordinates of the midpoint of $\overline{AB}$ are $(\frac{3}{2}, \frac{11}{2})$.

Work Step by Step

The midpoint of $\overline{AB}$ can be found using the following formula: $M = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$ The points we are given are $(0, 5)$ and $(3, 6)$. Let's plug these points into the formula: $M = (\frac{0 + 3}{2}, \frac{5 + 6}{2})$ Use addition to simplify: $M = (\frac{3}{2}, \frac{11}{2})$ The coordinates of the midpoint of $\overline{AB}$ are $(\frac{3}{2}, \frac{11}{2})$.
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