# Length of a Line Segment (Analytic Geometry)

- 1Use the formula below to determine the length between the points (2,1) and (5,7) $$\ell=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$$
- 2Use the formula below to determine the length between the points (-3,5) and (1,8) $$\ell=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$$
- 3Use the formula below to determine the length between the points (2,-5) and (-5,-7) $$\ell=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$$
- 4Use the formula below to determine the length between the points (-3,1) and (-3,8) $$\ell=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$$
- 5Which point is closer to (3,5)? A(-2,6) or B(5,1)
- 6The vertices of a quadrilateral are A(-2,3), B(5,5), C(5,1), and D(-2,-1). Find the length of the diagonals to the nearest tenth.
- 7The vertices of a right triangle are A(-1,7), B(-1,3), and C(2,3). Find the perimeter and the area of the triangle.
- 8The vertices of a right triangle are A(1,7), B(5,1), and C(8,3). Find the perimeter and the area of the triangle.
- 9Verify that A(-3,-3), B(3,1) and C(1,-9) are vertices of an isosceles triangle.
- 10Verify that the midpoint of A(-3,5) and B(-9,-7) is C(-6,-1).

$$e=mc^2$$