Madeline is asked to analyze the true statements shown. If two lines m

1.	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.A. Based on the law of syllogism, if two lines meet at a 90 angle, then they have opposite reciprocal slopes.B. Based on the law of syllogism, if two lines have opposite reciprocal slopes, then they meet at a 90 angle.C. Based on inductive reasoning, if two lines meet at a 90 angle, then they have opposite reciprocal slopes.D. Based on inductive reasoning, if two lines have opposite reciprocal slopes, then they meet at a 90 angle.
Answer» 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 Therefore by law of syllogism, a→ci.e. If two lines meet at a 90 angle, then they have opposite reciprocal slopes.

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.A. Based on the law of syllogism, if two lines meet at a 90 angle, then they have opposite reciprocal slopes.B. Based on the law of syllogism, if two lines have opposite reciprocal slopes, then they meet at a 90 angle.C. Based on inductive reasoning, if two lines meet at a 90 angle, then they have opposite reciprocal slopes.D. Based on inductive reasoning, if two lines have opposite reciprocal slopes, then they meet at a 90 angle.

Answer»

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

Therefore by law of syllogism, a→ci.e. If two lines meet at a 90 angle, then they have opposite reciprocal slopes.

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