Which answers are examples of the law of syllogism? select each correct answer. sally goes to the mall every saturday. today is saturday. therefore, sally will go to the mall today. if a quadrilateral is a rectangle with 4 equal sides, then it is a square. quadrilateralabcd is a rectangle with 4 equal sides. therefore, quadriateral abcd is a square. if there is a children’s movie playing at the cinema, maria’s mother will take her to see it. when maria’s mother takes her to the movie, she buys maria popcorn. therefore, if there is a children’s movie playing at the cinema, maria’s mother will buy popcorn for maria. if a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram.

Answersif there is a children’s movie playing at the cinema, maria’s mother will take her to see it. when maria’s mother takes her to the movie, she buys maria popcorn. therefore, if there is a children’s movie playing at the cinema, maria’s mother will buy popcorn for maria.if a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram.explanation

the law of syllogism is an argument of the form

if p, then qif q, then rtherefore, if p, then r.

this choice is one that uses the law of syllogism argument form:

if there is a children’s movie playing at the cinema, maria’s mother will take her to see it. when maria’s mother takes her to the movie, she buys maria popcorn. therefore, if there is a children’s movie playing at the cinema, maria’s mother will buy popcorn for maria.

this choice is another:

if a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram.

the others are incorrect as they do not one that use the law of syllogism:

sally goes to the mall every saturday. today is saturday. therefore, sally will go to the mall today. if a quadrilateral is a rectangle with 4 equal sides, then it is a square. quadrilateral abcd is a rectangle with 4 equal sides. therefore, quadriateral abcd is a square.

these two choices argue by the rule of detachment (if p, then q, and p, then q).