**Instructions: **Move point

*A* to adjust the position of the vertical line and move

*F* along the

*x*-axis as desired. Move

*C* along the line and observe what happens.

**Questions**
1. What can you say about line

*a *in relation to

*C* and

*F*?

2. Make a conjecture about segments

*PC *and

*PF*.

3.) Suppose

*P* has coordinates (

*x*,

*y*),

*F *has coordinates (2,0), and line

*d* has equation

*x* = 2, write the equation that would describe your conjecture in 2.

4.) Generalize the equation in 3 by changing the coordinates of

*F* to (

*a*,0) and line

*d* has equation

*x* = -

*d*. Find the value of

*y*.

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