The question asks to write a biconditional statement based on the provided propositions:

• P: ∠A and ∠B form a linear pair.
• Q: ∠A and ∠B are adjacent angles.

Biconditional Statement

A biconditional statement combines two logical statements with "if and only if," meaning both directions of implication must hold true.

Answer: ∠A and ∠B form a linear pair if and only if ∠A and ∠B are adjacent angles.

Would you like more details on how biconditional statements work or how this is derived? Let me know!

5 Related Questions:

1. What is the difference between a conditional and a biconditional statement?
2. Can you explain what it means for angles to form a linear pair?
3. How do adjacent angles differ from non-adjacent angles?
4. Are all adjacent angles also linear pairs? Why or why not?
5. How can we prove that a biconditional statement is true?

Tip:

To test a biconditional statement, verify both the forward ("if P, then Q") and backward ("if Q, then P") directions of the logic!