Question

Which of the following statements are true about segments in a plane? Choose all that apply. Every segment has infinitely many midpoints Every segment has two bisectors Every segment has one perpendicular bisector Every segment has infinitely many congruent segments Every segment has one line that is perpendicular to it

Answer 1

The correct option are;

Every segment has one perpendicular bisector

Every segment has infinitely many congruent segments

Explanation:

1) Every segment in a plane has exactly one perpendicular bisector

2) A congruent segment is a segment of equal length as a given segment, given that there can be infinitely many planes that can contain collinear points, whereby two points define a segment, the number of congruent segments that can be formed on infinitely many planes will therefore, be infinite.

Also given that the number of possible segments is infinite, the number of segments of a given size and therefore, the number of possible congruent segments is infinite.