Question

determine whether the conclusion is valid based on the given information. select valid or invalid. explain your reasoning.
given: if a figure is a square, then it has four right angles. figure abcd has four right angles.
conclusion: figure abcd is a square.

Explanation:

The statement "If a figure is a square, then it has four right angles" is a conditional statement \(p
ightarrow q\) where \(p\) is "a figure is a square" and \(q\) is "it has four right angles". The given information is \(q\) (Figure \(ABCD\) has four right angles). The conclusion is \(p\) (Figure \(ABCD\) is a square). The Law of Detachment states that if \(p
ightarrow q\) is true and \(p\) is true, then \(q\) is true. Here, we have \(q\) is true and we are trying to conclude \(p\) is true. This is an invalid form of reasoning (affirming the consequent). A rectangle also has four right angles but is not a square.

Answer:

invalid