Question

Place its midpoint I.

Draw the circle C of diameter [AB].
Draw the perpendicular bisector of the segment [AB]. It intersects circle C at points E and F.
Draw the half-lines [AE) and [BE).
Draw the arc of a circle with center A, radius [AB] and origin B. It intersects the half line [AE) at point H.
Draw the arc of a circle with center B, radius [BA] and origin A. It intersects the half line [BE] at point G.
Draw the quarter circle with center E, radius [EG] and bounded by points G and H.

Answer 1

To complete the construction described:

Place the midpoint I of segment [AB]. Draw the circle C of diameter [AB]. Draw the perpendicular bisector of segment [AB]. Label the point where it intersects circle C as E and F. Draw half-lines [AE) and [BE). Draw an arc with center A and radius [AB] that passes through point B. Label the points where the arc intersects half-line [AE) as H and J. Draw an arc with center B and radius [BA] that passes through point A. Label the points where the arc intersects half-line [BE) as G and K. Draw the quarter circle with center E and radius [EG] that is bounded by points G and H. This completes the construction.

The final figure should consist of circle C, perpendicular bisector EF, half-lines [AE) and [BE), arcs passing through points B and A, and the quarter circle with center E, radius [EG], and bounded by points G and H.

Explanation: