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? Check all that apply.She used inductive reasoning.She used the law of detachment.Her conclusion is valid.The statements can be represented as "if p, then q and if q, then r."Her conclusion is true.

The conditional says that if two lines are perpendicular, they intersect at a right angle. Since lines A and B are stated to be perpendicular, the law of detachment lets Kellie conclude that they intersect at a right angle. Her conclusion is valid because it follows from the conditional and the given fact, and it is true given the information in the question. This is not inductive reasoning, and the statements are not in the form “if p, then q and if q, then r.”

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