Question
elect all of the options which are true of the perpendicular bisector of line AB
Ask by Horton Fleming. in the United Kingdom
Dec 28,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
The perpendicular bisector of line AB passes through the midpoint of AB, is perpendicular to AB, and any point on it is equidistant from points A and B.
Solution
To determine the properties of the perpendicular bisector of line segment AB, we can outline the following known conditions:
1. The perpendicular bisector of a line segment is a line that divides the segment into two equal parts.
2. It is perpendicular to the line segment at its midpoint.
3. Any point on the perpendicular bisector is equidistant from the endpoints of the segment (points A and B).
Based on these properties, the true statements about the perpendicular bisector of line AB include:
- It passes through the midpoint of line segment AB.
- It forms a right angle (90 degrees) with line segment AB.
- Any point on the perpendicular bisector is equidistant from points A and B.
If you have specific options to evaluate, please provide them, and I can help determine which of those are true.
Reviewed and approved by the UpStudy tutoring team
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Explain 
Simplify this solution Mind Expander
The perpendicular bisector of a line segment AB has some fascinating properties! Not only does it divide the segment into two equal lengths, but it also creates right angles (90 degrees) at the point of intersection with line AB. This means that if you were to take a ruler and a protractor, you’d find it's quite an effective way to find the middle ground! In practical terms, this concept is vital in fields like construction and navigation. For example, engineers often use perpendicular bisectors to create stable structures or even to triangulate positions when mapping out land. It's like having a secret weapon for finding balance and accuracy in real life!
