Question

kellie is given the following information: if two lines are perpendicular, then they intersect at a right angle. lines a and b are perpendicular. she concludes that lines a and b intersect at a right angle. which statements are true? choose three correct answers. her conclusion is true. she used the law of detachment. her conclusion is valid. she used inductive reasoning. the statements can be represented as \if p, then q and if q then r.\

Explanation:

1. Given the conditional statement "If two lines are perpendicular, then they intersect at a right - angle" and the fact that "Lines A and B are perpendicular", by the law of detachment (if \(p

ightarrow q\) is true and \(p\) is true, then \(q\) is true), we can conclude that lines A and B intersect at a right - angle. So the conclusion is true and valid.

1. The law of detachment is used here, not inductive reasoning which goes from specific examples to a general conclusion.
2. The statements can be represented as \(p

ightarrow q\) where \(p\) is "Two lines are perpendicular" and \(q\) is "They intersect at a right - angle".

Answer:

A. Her conclusion is true.
B. She used the law of detachment.
C. Her conclusion is valid.