The conditional statement given is:

"If two lines intersect at right angles, then the two lines are perpendicular."

To break this down:

• Hypothesis (the "if" part): This is the assumption or condition of the statement. In this case, the hypothesis is "Two lines intersect at right angles."
• Conclusion (the "then" part): This is the result or outcome if the hypothesis is true. In this case, the conclusion is "The two lines are perpendicular."

Now, let's examine the options:

• a. The hypothesis and conclusion are reversed.
• b. This correctly identifies the hypothesis as "Two lines intersect at right angles" and the conclusion as "The two lines are perpendicular."
• c. This is incorrect as it introduces a statement that contradicts the conditional statement.
• d. This is also incorrect because it reverses the logical structure and introduces a false conclusion.

Thus, the correct answer is b.

Would you like further clarification or more details on this?

Here are some related questions for further practice:

1. What is the contrapositive of the given conditional statement?
2. What is the converse of the conditional statement?
3. How can the hypothesis and conclusion of a statement be symbolized in logic?
4. How does the definition of perpendicular lines relate to right angles?
5. How do you form a biconditional statement from a given conditional statement?

Tip: In conditional statements, the hypothesis comes after the "if" and the conclusion follows the "then."