Midpoint Between Two Locations

How to Use this Applet

The Graph Area

  • Drag an endpoint of the segment to move it to any location.
  • Drag the midpoint of the segment to move it to any location. The SELECTED endpoint will remain fixed. The remaining endpoint will move to accommodate the changed location of the midpoint.
  • Drag a point along the segment (other than an endpoint or the midpoint) to move the segment.
  • <SHIFT>+drag an endpoint of the segment to move it to any other location equidistant from the other endpoint.
  • <CONTROL>+drag an endpoint of the segment to move it to any other location along a line containing the segment.
  • <SHIFT>+drag the midpoint of the segment to move it to any other location equidistant from the SELECTED endpoint. The remaining endpoint will move to accommodate the changed location of the midpoint.
  • <CONTROL>+drag the midpoint of the segment to move it to any other location along a line containing the segment.

Other

  • The arrow keys will move the "selected" endpoint.
  • If the arrow keys don't respond, click the cursor in the applet frame then try again.
  • Select the GEOMETRIC BISECTION button to see a method of finding the midpoint in the absence of a coordinate system.
  • Select THE MIDPOINT FORMULA button to see the calculations to find a midpoint as related to locations in a coordinate system.
  • Select the x1, y1, x2, y2, xM or yM buttons to enter values for coordinates as text.
  • Select the SWITCH 1 & 2 button to interchange the coordinates of P( x1, y1 ) and Q( x2, y2 ).
  • Select the PRECISION button to set number rounding.
  • Select the MOVE ORIGIN button, then drag in the graph area to move the entire coordinate system.
  • Select the CHANGE SCALES button, then drag in the graph area (towards or away from the origin) to expand or compress the scales on each axis.
  • Select the ? button for help.
  • Select the RESET button to restore the applet to the initial state.