Question

1. choose true or false. true or false: an application of deductive reasoning such that the reasoning is logically correct and undeniably true is a valid argument. true false 5. choose the best answer. is this a valid argument? given: if two points lie on the same plane, then they are coplanar. points x and y both lie on plane r. conclusion: points x and y are coplanar. yes. this argument uses the law of syllogism. no. this is an improper use of the law of detachment. yes. this argument uses the law of detachment. no. this is an improper use of the law of syllogism.

Explanation:

Question 4

A valid argument in deductive reasoning is one where if the premises are true, the conclusion must be true (logically correct and undeniable). So the statement matches the definition of a valid argument.

The Law of Detachment states that if \( p \to q \) is true and \( p \) is true, then \( q \) is true. Here, \( p \): "two points lie on the same plane", \( q \): "they are coplanar". Given points \( X \) and \( Y \) lie on plane \( R \) (so \( p \) is true), so we can conclude \( q \) (they are coplanar) using the Law of Detachment.

Answer:

True

Question 5