To rewrite the biconditional statement "B is on line AC if and only if B is on line AC and line CA" as two conditional statements that are converses of each other:

1. If B is on line AC, then B is on line AC and line CA.
2. If B is on line AC and line CA, then B is on line AC.

These two conditionals form the biconditional, as both must be true for the biconditional to hold.

Would you like further explanation of how these conditionals are derived or their logical structure?

Here are 5 related questions to explore further:

1. What is the general structure of a biconditional statement?
2. How can you verify the truth of a biconditional?
3. Can you provide a geometric example where the biconditional applies?
4. How does this logic apply to properties of points, lines, and planes in geometry?
5. What are the differences between a conditional, converse, inverse, and contrapositive?

Tip: A biconditional holds true only when both conditional statements are true. Always test both directions!