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: 35

Answer

The coordinates of the midpoint of $\overline{AB}$ are $(1, 2)$.

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 $(-2, 3)$ and $(4, 1)$. Let's plug these points into the formula: $M = (\frac{-2 + 4}{2}, \frac{3 + 1}{2})$ Use addition to simplify: $M = (\frac{2}{2}, \frac{4}{2})$ Simplify the fractions: $M = (1, 2)$ The coordinates of the midpoint of $\overline{AB}$ are $(1, 2)$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.