Question

Point X is equidistant from F and T. Furthermore, point Y is equidistant from F and T. Does that mean that X and Y are equally distant from F?

Short answer

Points X and Y do not have the same distance from point F.

Step-by-step solution

Step 1. Observe the diagram for points X, Y, F and T.

As each point on the vertical line have the same distance from both the points F and T so the points X and Y will also have the same distance from both the points F and T.

Step 2. Make lines that make connection from F to X and Y

Taking F as starting point make a line that joins F and X and make another line that joins F and Y.

Step 3. Observe the resulting diagram

The line that makes the connection between F and Y is longer than the line that makes the connection between F and X because Y is much further than X from the point F. That is why points X and Y do not have the same distance from point F.