Question
Line segment XY¯¯¯¯¯¯¯¯ is a perpendicular bisector of segment AB¯¯¯¯¯¯¯¯ , with the two segments meeting at point O . What is true about OB¯¯¯¯¯¯¯¯ ?(1 point) Responses It has the same length as AO¯¯¯¯¯¯¯¯ . It has the same length as line segment cap A cap o. It has the same length as XB¯¯¯¯¯¯¯¯ . It has the same length as line segment cap x cap b. It has the same length as OY¯¯¯¯¯¯¯¯ . It has the same length as line segment cap o cap y. It has the same length as XO¯¯¯¯¯¯¯¯ .
Answers
GPT-4o mini
Since line segment XY is the perpendicular bisector of segment AB, this means that the following properties hold:
1. O is the midpoint of segment AB, which implies that \( AO = OB \).
2. Since XY is a perpendicular bisector, it intersects AB at a right angle.
Given these properties, the statement that is true about \( OB \) is:
**"It has the same length as AO."**
This confirms that \( OB = AO \).
1. O is the midpoint of segment AB, which implies that \( AO = OB \).
2. Since XY is a perpendicular bisector, it intersects AB at a right angle.
Given these properties, the statement that is true about \( OB \) is:
**"It has the same length as AO."**
This confirms that \( OB = AO \).