Question

part ii: basic constructions

1. short answer

describe the steps to construct the perpendicular bisector of a segment using a compass and straightedge.

Explanation:

1. Place the compass at one - end of the segment. Set the compass width to more than half the length of the segment.
2. Draw arcs above and below the segment.
3. Without changing the compass width, place the compass at the other end of the segment and draw similar arcs, intersecting the previous arcs at two points.
4. Use a straightedge to draw a line through the two intersection points. This line is the perpendicular bisector of the segment.

Answer:

1. Open compass more than half - length of segment, draw arcs from both ends.
2. Connect intersection points of arcs with straightedge.