June 29th, 2018, 11:41 AM  #1 
Senior Member Joined: Nov 2011 Posts: 239 Thanks: 2  construct
How I construct a midpoint of a segment?

June 29th, 2018, 12:37 PM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894 
Using compasses and straightedge? That's a pretty standard construction, given in any geometry text. Use the compasses, set to any radius greater than half the length of the segment to strike arcs centered at each of the two endpoints. Those arcs will cross at two points. Use the straight edge to draw the line through the two points. That line is the perpendicular bisector of the line segment. 
June 29th, 2018, 01:19 PM  #3 
Math Team Joined: Jul 2011 From: Texas Posts: 2,773 Thanks: 1427  

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