Geometry: Common Core (15th Edition)

Published by Prentice Hall

Chapter 1 - Tools of Geometry - 1-8 Perimeter, Circumference, and Area - Practice and Problem-Solving Exercises - Page 67: 66

Answer

a) 6.7 b) (-2.5,-2)

Work Step by Step

a) Use the distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ $d=\sqrt{(-4-(-1))^2+(-5-1)^2}$ $d=\sqrt{(-3)^2+(-6)^2}$ $d=\sqrt{9+36}$ $d=\sqrt{45}$ $d=6.7$ b) Use the midpoint formula: $M_x=\frac{x_1+x_2}{2}=\frac{-1+(-4)}{2}=\frac{-5}{2}=-2.5$ $M_y=\frac{y_1+y_2}{2}=\frac{1+(-5)}{2}=\frac{-4}{2}=-2$

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