6
AssignmentMultiple Select

Logic and Reasoning

Question 6 • FL-1206310-Geometry A - Flex

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.

Answer
A
She used inductive reasoning.
B
She used the law of detachment.
C
Her conclusion is valid.
D
The statements can be represented as "if p, then q and if q, then r."
E
Her conclusion is true.

Explanation

The rule says that if two lines are perpendicular, then they intersect at a right angle. Since lines A and B are perpendicular, the law of detachment lets Kellie conclude that they intersect at a right angle. Her reasoning is valid, and the conclusion is true given the stated information.

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