Answer: A. 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.
