Select all of the options which are true of the perpendicular bisector of line \( A B \). \[ \begin{array}{l}\text { It is a fixed distance from line } A B \\ \text { It meets line } A B \text { at } 90^{\circ} \quad \text { It passes through } A \\ \text { It meets line } A B \text { at } 180^{\circ} \quad \text { It passes through } B\end{array} \] It does not meet line \( A B \) It passes through the midpoint of line \( A B \)
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Bonus Knowledge
The perpendicular bisector of line segment \( AB \) is a fascinating concept in geometry! It not only meets line \( AB \) at a perfect right angle (90°), but it also slices the segment exactly in half, meaning it passes through the midpoint of \( AB \). Think of it like a tightrope that perfectly balances both ends of a rope! In real-world applications, the concept of the perpendicular bisector is used in various fields such as engineering, design, and even robotics. For instance, when engineers are designing a structure, they often need to find the center point of a beam to ensure weight distribution is even. Using the perpendicular bisector can help them achieve that balance and stability!
