Given , AB explain how to
construct a square with sides of
length AB.
To construct a square with sides of length AB, follow these steps:
1. Draw a straight line segment AB of length AB.
2. Using a compass, place the pivot on point A and draw an arc that intersects line AB.
3. Without changing the compass width, place the pivot on point B and draw another arc that intersects the first arc.
4. Label the point where the two arcs intersect as C.
5. Draw line segments AC and BC to form a triangle.
6. Using the compass, set the width to the length of side AB.
7. Place the pivot on point C and draw arcs above and below line AB.
8. Label the points of intersection with line AC and BC as D and E, respectively.
9. Connect points D and E to complete the square ABCD.