Understanding Perpendicular Bisectors

What is the first step in constructing a perpendicular bisector of a line segment?

• Set the compass to more than half the length of the segment.

• Mark the midpoint of the segment.

• Draw a straight line through the segment.

• Set the compass to the length of the line segment.

Why is it important not to change the compass length during the construction?

• To ensure the arcs are drawn at the same height.

• To maintain the congruence of the arcs.

• To keep the compass balanced.

• To avoid drawing too many arcs.

What property of the segments is used to explain why the construction method works?

• The segments are parallel.

• The segments are congruent.

• The segments are perpendicular.

• The segments are bisected.

Which postulate is used to prove the congruence of triangles in the construction?

• Side-Angle-Side Postulate

• Angle-Side-Angle Postulate

• Side-Side-Side Postulate

• Angle-Angle-Side Postulate

What conclusion can be drawn once right angles are established in the construction?

• The line segments are equal in length.

• The line segments are parallel.

• The line segments are perpendicular.

• The line segments are congruent.