Question

if p represents a rectangle is a square and q represents the rectangle has four congruent sides. translate each of the verbal statements of the argument into symbolic form. if the rectangle does not have four congruent sides, then the rectangle is not a square. if the rectangle has four congruent sides, then the rectangle is a square. therefore, the rectangle is not a square.

Explanation:

Step1: Define the statements

Let \(p\) represent "A rectangle is a square" and \(q\) represent "The rectangle has four congruent sides".

Step2: Translate the first - conditional statement

The statement "If the rectangle has four congruent sides, then the rectangle is a square" is \(q
ightarrow p\).

Step3: Translate the second - conditional statement

The statement "If the rectangle does not have four congruent sides, then the rectangle is not a square" is \(
eg q
ightarrow
eg p\).

Step4: Translate the conclusion

The statement "Therefore, the rectangle is not a square" is \(
eg p\).

Answer:

The symbolic form of the argument is:

1. \(q

ightarrow p\)

1. \(

eg q
ightarrow
eg p\)

1. \(

eg p\)