Question
Which properties are true for all perpendicular bisectors? Choose all that apply (2 points)(2 points)
Responses
Form a 90 degree angle with a segment
Form a 90 degree angle with a segment
Cut a segment into three equal parts
Cut a segment into three equal parts
Split a segment in two equal segments
Split a segment in two equal segments
Cut an angle into half
Cut an angle into half
Responses
Form a 90 degree angle with a segment
Form a 90 degree angle with a segment
Cut a segment into three equal parts
Cut a segment into three equal parts
Split a segment in two equal segments
Split a segment in two equal segments
Cut an angle into half
Cut an angle into half
Answers
GPT-4o mini
For all perpendicular bisectors, the following properties are true:
1. **Form a 90 degree angle with a segment** - True: A perpendicular bisector intersects a segment at a right angle (90 degrees).
2. **Cut a segment into three equal parts** - False: A perpendicular bisector divides the segment into two equal parts, not three.
3. **Split a segment in two equal segments** - True: A perpendicular bisector divides the segment into two equal lengths.
4. **Cut an angle into half** - False: A perpendicular bisector does not bisect angles; it bisects the segment.
Therefore, the correct properties are:
- Form a 90 degree angle with a segment
- Split a segment in two equal segments
1. **Form a 90 degree angle with a segment** - True: A perpendicular bisector intersects a segment at a right angle (90 degrees).
2. **Cut a segment into three equal parts** - False: A perpendicular bisector divides the segment into two equal parts, not three.
3. **Split a segment in two equal segments** - True: A perpendicular bisector divides the segment into two equal lengths.
4. **Cut an angle into half** - False: A perpendicular bisector does not bisect angles; it bisects the segment.
Therefore, the correct properties are:
- Form a 90 degree angle with a segment
- Split a segment in two equal segments