Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisector with a compass and straightedge. Describe the similarities and differences between their construction steps.
Similarities:
1. Both constructions will require the use of a compass and straightedge.
2. Both constructions will involve creating a bisector, either of a segment or an angle.
3. Both constructions will require careful measurement and precision in order to accurately bisect the given figure.
Differences:
1. Anton's construction of a segment bisector will involve bisecting a line segment, while Maxim's construction of an angle bisector will involve bisecting an angle.
2. Anton will need to mark off equal distances on both sides of the segment in order to find the midpoint, while Maxim will need to create a bisecting angle using intersecting arcs.
3. Anton will need to connect the two points on either side of the segment to create the bisector, while Maxim will need to connect the vertex of the angle to the point where the bisecting arcs intersect to create the bisector line.