The midpoints of a triangle are [math]X (–2, 5)[/math], [math]Y (3, 1)[/math], and [math]Z (4, 8)[/math]. Find the coordinates of the vertices of the triangle.

[list=1][br][*]Plot the midpoints on a coordinate plane.[br][*]Connect the midpoints to form the midsegments [math]\overline{XY}[/math], [math]\overline{YZ}[/math], and [math]\overline{XZ}[/math].[br][*]Calculate the slope of each midsegment.[br][*]Draw the lines that contain the midpoints.[br][*]Determine the vertices of the triangle.[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.