Question

question 19 (1 point)
identify the hypothesis and conclusion of this conditional statement
if two lines intersect at right angles, then the two lines are perpendicular.

○ a hypothesis: two lines intersect at right angles.
conclusion: the two lines are not perpendicular.

○ b hypothesis: two lines intersect at right angles.
conclusion: the two lines are perpendicular.

○ c hypothesis: the two lines are not perpendicular.
conclusion: two lines intersect at right angles.

○ d hypothesis: the two lines are perpendicular.
conclusion: two lines intersect at right angles.

Explanation:

In a conditional statement "If \( p \), then \( q \)", \( p \) is the hypothesis and \( q \) is the conclusion. For the statement "If two lines intersect at right angles, then the two lines are perpendicular", the part after "If" is the hypothesis: "Two lines intersect at right angles", and the part after "then" is the conclusion: "The two lines are perpendicular". Option a has an incorrect conclusion, option c and d have swapped hypothesis and conclusion. So option b is correct.

Answer:

b. Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are perpendicular.