Question

which statement is true about this argument? premises: if a quadrilateral is a square, then the quadrilateral is a rectangle. if a quadrilateral is a rectangle, then the quadrilateral is a parallelogram. conclusion: if a quadrilateral is a square, then the quadrilateral is a parallelogram. the argument is valid by the law of syllogism. the argument is valid by the law of detachment. the argument is not valid because the premises are not true. the argument is not valid because the conclusion does not follow from the premises.

Explanation:

The law of syllogism states that if \(p
ightarrow q\) and \(q
ightarrow r\), then \(p
ightarrow r\). Here, \(p\) is "a quadrilateral is a square", \(q\) is "a quadrilateral is a rectangle", and \(r\) is "a quadrilateral is a parallelogram". The premises are \(p
ightarrow q\) and \(q
ightarrow r\), and the conclusion is \(p
ightarrow r\).

Answer:

The argument is valid by the law of syllogism.