3
QuizMultiple Choice

Logic and Reasoning — Quiz

Question 3 • Geometry

Madeline is asked to analyze the true statements shown. If two lines meet at a 90 degrees angle, they are perpendicular. If two lines are perpendicular, they have opposite reciprocal slopes. Which conclusion can Madeline draw from the given statements?

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