Question

What is the locus of centers of all circles passing through point A and Point B, which are two fixed points in a plane.

I tried to formulate my own answer: The line segments of circles from point A and point B to any circle's center are the radii, as they are always congruent

Answer 1

Answer:

  the locus is the perpendicular bisector of the segment

Step-by-step explanation:

The points equidistant from A and B lie on the line that is the perpendicular bisector of segment AB.

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Comment on this geometry

You take advantage of this fact when you construct a circle through 3 points. You construct the perpendicular bisectors of segments between pairs of the points, and locate the center of your circle at their intersection.

Answer 2

Some of the mathematical theorems about circles are:

• The distance from the center of a circle is constant
• The value of this distance is equals to the radius, etc.

What is Locus of a Circle?

This refers to the set of points in a circle which are equidistant from each other from the center point.

Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.

Read more about circles here:

https://brainly.com/question/23986334