Use the tools in the applet to construct a square with AB as one of its sides.[br][br]Explore. Try to do this on your own.[br]If you need more help, there are detailed instructions at the bottom of the page.
You start with segment AB.[br]Use the LINE tool to make this line AB.[br][br][b]Use the compass tool to construct a perpendicular line that passes through A[br][/b]-This can be done by making a circle with center A. Circle A will intersect the line at two points. [br]-You will then construct two congruent circles (that are larger than circle A) centered at the two intersections.[br]-Mark where the circles intersect and construct a line through those points.[br][br][b]Use the compass tool to construct a perpendicular line that passes through B[br][/b]-This can be done by making a circle with center B. Circle B will intersect the line at two points. [br]-You will then construct two congruent circles (that are larger than circle B) centered at the two intersections.[br]-Mark where the circles intersect and construct a line through those points.[br][br][b]Now, set your compass to compass to radius AB and center a circle at A and another at B so that we can see where they each intersect the perpendicular lines we constructed. [br][/b]Mark those intersections so that you know where the top of your square will be. [br].[br][br]You should have a square. [br]Use the POLYGON tool to make it a square.[br][br]Do the DRAG TEST to verify it is a square.[br]I have also added the tools to measure angles and segment lengths if you wanted to test out a different method!