Which properties are true for all perpendicular bisectors? Choose all that apply.(3 points)%0D%0AResponses%0D%0A%0D%0ACut an angle into half%0D%0ACut an angle into half%0D%0A%0D%0ACut a segment in half%0D%0ACut a segment in half%0D%0A%0D%0AForm a 90 degree angle with a segment%0D%0AForm a 90 degree angle with a segment%0D%0A%0D%0ASplit a segment in two equal segments

1 answer

The properties that are true for all perpendicular bisectors are:

  1. Cut a segment in half - A perpendicular bisector will intersect a segment at its midpoint, effectively dividing it into two equal parts.

  2. Form a 90 degree angle with a segment - A perpendicular bisector by definition creates a 90-degree angle with the segment it bisects.

  3. Split a segment in two equal segments - This is essentially the same as "cut a segment in half". When a perpendicular bisector cuts a segment, it splits that segment into two equal segments.

The statement "Cut an angle into half" is not true for perpendicular bisectors; that would be true for angle bisectors instead.

So the correct options are:

  • Cut a segment in half
  • Form a 90 degree angle with a segment
  • Split a segment in two equal segments