## Geometry: Common Core (15th Edition)

Find the coordinates of each city. Augusta: (0,0); Fairfield: (-8,-3) Use the distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ $d=\sqrt{(-8-0)^2+(-3-0)^2}$ $d=\sqrt{(-8)^2+(-3)^2}$ $d=\sqrt{64+9}$ $d=\sqrt{73}$ $d=8.5$ Find the coordinates of each city. Augusta: (0,0); Everett: (-3,5) Use the distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ $d=\sqrt{(-3-0)^2+(5-0)^2}$ $d=\sqrt{(-3)^2+5^2}$ $d=\sqrt{9+25}$ $d=\sqrt{34}$ $d=5.8$ Find the coordinates of each city. Augusta: (0,0); Brooklyn: (8,2) Use the distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ $d=\sqrt{(8-0)^2+(2-0)^2}$ $d=\sqrt{8^2+2^2}$ $d=\sqrt{64+4}$ $d=\sqrt{68}$ $d=8.2$ Find the coordinates of each city. Augusta: (0,0); Charleston: (4,5) Use the distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ $d=\sqrt{(4-0)^2+(5-0)^2}$ $d=\sqrt{4^2+5^2}$ $d=\sqrt{16+25}$ $d=\sqrt{41}$ $d=6.4$ Find the coordinates of each city. Augusta: (0,0); Davenport: (5,10) Use the distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ $d=\sqrt{(5-0)^2+(10-0)^2}$ $d=\sqrt{5^2+10^2}$ $d=\sqrt{25+100}$ $d=\sqrt{125}$ $d=11.2$