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this question says construct a perpendicular bisector of the line a b so perpendicular means its going to cross at 90 degrees its going to have a make a right angle with the line a b as it goes through it bisector means split in half so its going to be exactly in the middle of a and b so we want a perpendicular line exactly in the middle of a and b so were going to use our compass so im going to extend it im going to place the point at one side the pointer a and extend it beyond halfway now im gonna draw a circle or part of a circle from a and im going to switch it around keeping it the exact same distance so the exact same length and im going to do a circle from b as well or part of a circle from b as well so weve got two intersections weve got two intersections and these are two points exactly the same distance away from a and b and if we join them up we have drawn a perpendicular bisector so its exactly in the middle and it crosses at 90 degrees this is also the locus o
