Question

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

Answer 1

Steps while constructing a segment bisector with a compass and straightedge.

• Compass should be placed at one end of the line segment.

• Compass setting should be somewhat longer than half the length of the line segment.

• A line should have arcs above and below it.

• Draw arcs from the other end of the line while maintaining the same compass width.

• Draw the line segment by setting a ruler down where the arcs intersect.

Steps while constructing an angle bisector with a compass and straightedge.

A line that cuts an angle in half, or into two equal halves, is known as an angle bisector. If the measurement of the angle is known, we only need a protractor, a ruler, a pencil, and a compass to create an angle bisector geometrically. An angle bisector allows for the division of any angle.

Similarity:

In both the construction steps we use an arc to make a circle with two points as the center and take the intersection point.

Difference:

The segment bisects connects two intersection with the length of the segment as the radius and the angle bisector connects one intersection with the corner vertex with the distance between the intersection on both sides as the radius.

Learn more about Angle and segment bisector here:

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