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Home > A2C > Chapter 10 > Lesson 10.2.6 > Problem 10-160


In the diagram below, the point is the same distance from as it is from . There are many possibilities for . Algebraically, what do they have in common?

  1. What is the distance from to ?

    Use the distance formula.

  2. What is the distance from to ?

    See part (a).

  3. Write the equation that states that the two expressions in (a) and (b) are equal and simplify.

  4. What is the specific name of the geometric object represented by your equation from part (c)?

    Perpendicular bisector of the segment.