Identify the hypotheses and conclusion of this conditional statement: If two lines intersect at right angles, then the two lines are perpendicular

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Answers:

  • hypothesis = two lines intersect at right angles
  • conclusion = the two lines are perpendicular

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Explanation:

Any conditional statement is of the form "If P, then Q"

P is the hypothesis, which is the initial set up to lead to the conclusion Q

As an example, the sentence "If it rains, then it gets wet on the road" has P = "it rains" as the hypothesis and Q = "it gets wet on the road" as the conclusion.

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In short, the format is "If hypothesis, then conclusion".