Geometry: Common Core (15th Edition)

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

Chapter 3 - Parallel and Perpendicular Lines - Common Core Cumulative Standards Review - Selected Response - Page 213: 12



Work Step by Step

To find the coordinates of the midpoint, let us use the midpoint formula, which is given by the following: $M = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$ The points we are given are $(-1, 2)$ and $(5, 6)$. Let's plug these points into the formula: $M = (\frac{-1 + 5}{2}, \frac{2 + 6}{2})$ Use addition to simplify: $M = (\frac{4}{2}, \frac{8}{2})$ Simplify the x-coordinate and the y-coordinate by dividing the numerator and denominator by their greatest common factor, $2$: $M = (2, 4)$ The coordinates of the midpoint of this segment are $(2, 4)$. This corresponds to option $F$.
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