The properties that are true for all perpendicular bisectors are:
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Cut a segment in half - A perpendicular bisector will intersect a segment at its midpoint, effectively dividing it into two equal parts.
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Form a 90 degree angle with a segment - A perpendicular bisector by definition creates a 90-degree angle with the segment it bisects.
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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