Question

1. which construction will determine a midpoint?

○ a perpendicular bisector

○ a congruent angle

○ an angle bisector

○ a congruent line segment

Explanation:

To determine which construction finds a midpoint, we analyze each option:

• A perpendicular bisector of a segment intersects the segment at its midpoint (and is perpendicular).
• A congruent angle construction is about creating an angle equal to another, not related to midpoints.
• An angle bisector divides an angle into two equal parts, not a segment's midpoint.
• A congruent line segment construction creates a segment equal in length to another, not finding a midpoint.

So the perpendicular bisector construction determines the midpoint of a segment.

Answer:

A. a perpendicular bisector