Question

In a more complete diagram, would there be a redpoint 15 cm from both F and T? How many such points?

Short answer

Yes, there will be a red point and the count of points will be 2.

Step-by-step solution

Step 1. Make an analysis of diagram.

The distance from both points T and F to the set of red points that are on the red line is the same so this represents that each red point has the same distance from both points T and F.

Step 2. Draw lines in the diagram that connects the vertical line with the points F and T

Take a point from the top of the line which has a distance of 15 cm from the points F and T after it makes the lines from that top point to the points F and T.

Take a point from the bottom of the line which has a distance of 15 cm from the points F and T after it makes the lines from that bottom point to the points F and T.

Step 3. Make the conclusion.

As there are only two red points that represents that the distance between the pointsF and T and the two red points is 15 cm.