The examples of the Law of Syllogism 1.If a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram.
2.If a quadrilateral is a rectangle with 4 equal sides, then it is a square. Quadrilateral ABCD Quadrilateral ABCD is a rectangle with 4 equal sides. Therefore, quadrilateral ABCD quadrilateral ABCD is a square is correct .
The first two statements are examples of the Law of Syllogism. The third and fourth statements are not.
In the first statement, the two premises are that a square is a rectangle and that a rectangle is a parallelogram. The conclusion is that a square is a parallelogram. This is a valid syllogism because the conclusion is true given that the premises are true.
In the second statement, the first premise is that a quadrilateral is a rectangle with 4 equal sides. The second premise is that quadrilateral ABCD is a rectangle with 4 equal sides. The conclusion is that quadrilateral ABCD is a square. This is also a valid syllogism because the conclusion is true given that the premises are true.
In the third statement, the first premise is that Sally goes to the mall every Saturday. The second premise is that today is Saturday. This is not a valid syllogism because the conclusion does not necessarily follow from the premises. It is possible that Sally is sick or has other plans today, and therefore she may not go to the mall.
In the fourth statement, the first premise is that if there is a children’s movie playing at the cinema, Maria’s mother will take her to see it. The second premise is that when Maria’s mother takes her to the movie, she buys Maria popcorn.