Madeline is asked to analyze the true statements shown. if two lines meet at a 90 angle, they are perpendicular. if two lines are perpendicular, they have opposite reciprocal slopes. which conclusion can madeline draw from the given statements? based on the law of syllogism, if two lines meet at a 90 angle, then they have opposite reciprocal slopes. based on the law of syllogism, if two lines have opposite reciprocal slopes, then they meet at a 90 angle. based on inductive reasoning, if two lines meet at a 90 angle, then they have opposite reciprocal slopes. based on inductive reasoning, if two lines have opposite reciprocal slopes, then they meet at a 90 an

Based on the law of syllogism, if two lines meet at a 90 angle, then they have opposite reciprocal slopes.

Step-by-step explanation:

Law of Syllogism which is also known as reasoning by transitivity is a valid argument method of a deductive reasoning that follows a sequence.

Its similar to the transitive property of equality, which states that if a=b and b=c then a=c

The given statement :  If two lines meet at a 90 angle, they are perpendicular. If two lines are perpendicular, they have opposite reciprocal slopes.

let a →" two lines meet at a 90 angle"

b→ "two lines are perpendicular are perpendicular"

c→" two lines have opposite reciprocal slopes"

Since a→b and b→c

Therefore by law of syllogism, a→c

i.e. If two lines meet at a 90 angle, then they have opposite reciprocal slopes.

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