Question

1. which is a characteristic of a perpendicular bisector? it intersects a segment at a slant. it is not coplanar with a segment. it runs in the same direction as a segment on another line. it intersects a segment at a right angle.

Explanation:

A perpendicular bisector, by definition, intersects a segment at a right angle (90 degrees) and bisects (divides into two equal parts) the segment. Let's analyze each option:

• "It intersects a segment at a slant": A slant intersection is not a right - angle intersection, so this is incorrect.
• "It is not coplanar with a segment": A perpendicular bisector of a segment lies in the same plane as the segment (coplanar), so this is wrong.
• "It runs in the same direction as a segment on another line": A perpendicular bisector is perpendicular (at a right - angle) to the segment, not in the same direction, so this is incorrect.
• "It intersects a segment at a right angle": This is in line with the definition of a perpendicular bisector.

Answer:

It intersects a segment at a right angle.