Geometry Puzzle – Challenge 60

Geometry Puzzle – Challenge 60 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.

Challenge

The figure shows a vertical line through points A and B, crossed at right angles by a horizontal line labelled n. A and B are equidistant from line n.

In the figure above, A and B are equidistant from the line n. How many circles can be drawn with their centers on line n and that pass through both A and B?

A- 1

B- 2

C- 3

D- 4

E- More than 4

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Since, the distance from any point on line n to the points A and B are equal, then, any point on line n can be the center of a circle. The distance from that point to either A or B could be the radius of a circle.

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