This is the step-by-step, printable version. If you PRINT this page, any ads will not be printed.
See also the animated version.
|After doing this||Your work should look like this|
We start with a given line segment AB> This will become one side of the square.
|Note. Steps 1 through 5 construct a perpendicular to line AB at the point B. This is the same construction as Constructing the perpendicular at a point on a line|
|1. Extend the line AB to the right.|
|2. Set the compasses on B and any convenient width. Scribe an arc on each side of B, creating the two points F and G.|
|3. With the compasses on G and any convenient width, draw an arc above the point B.|
|4. Without changing the compasses' width, place the compasses on F and draw an arc above B, crossing the previous arc, and creating point H|
5. Draw a line from B through H.
This line is perpendicular to AB, so the angle ABH is a right angle (90°);
This will become the second side of the square
|We now create four sides of the square the same length as AB|
|6. Set the compasses on A and set its width to AB. This width will be held unchanged as we create the square's other three sides.|
|7. Draw an arc above point A.|
|8. Without changing the width, move the compasses to point B. Draw an arc across BH creating point C - a vertex of the square.|
|9. Without changing the width, move the compasses to C. Draw an arc to the left of C across the exiting arc, creating point D - a vertex of the square.|
|10. Draw the lines CD and AD|
|Done. ABCD is a square where each side has a length AB|