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Chapter 1: Q6 (page 3)

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

Expert verified

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

Step by step solution

01

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.

02

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.

03

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.

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