8.
For the given true statements, what can you conclude using the Law of Syllogism?
If a quadrilateral is a square, then it has four right angles.
If a quadrilateral has four right angles, then it is a rectangle.
If a rectangle is a quadrilateral, then it has four right angles.
If a quadrilateral is a square, then it is a rectangle.
If a quadrilateral has four right angles, then it is a square.
If a quadrilateral is a rectangle, then it has four right angles.
5 answers
Using the Law of Syllogism, we can conclude that if a quadrilateral is a square, then it is a rectangle. This is because the first statement states that if a quadrilateral is a square, then it has four right angles, and the second statement states that if a quadrilateral has four right angles, then it is a rectangle. By combining these two statements, we can deduce that if a quadrilateral is a square, then it is a rectangle.
9.
Does the following argument illustrate the Law of Syllogism?
Given: If the sun is shining, then it is a beautiful day.
If it is a beautiful day, then we will go for a bike ride.
Conclude: If we go for a bike ride, then it is a beautiful day.
no
yes
Does the following argument illustrate the Law of Syllogism?
Given: If the sun is shining, then it is a beautiful day.
If it is a beautiful day, then we will go for a bike ride.
Conclude: If we go for a bike ride, then it is a beautiful day.
no
yes
Yes, the argument does illustrate the Law of Syllogism. The first statement states that if the sun is shining, then it is a beautiful day. The second statement states that if it is a beautiful day, then we will go for a bike ride. By applying the Law of Syllogism, we can conclude that if we go for a bike ride, then it is a beautiful day.
10.
Does the following argument illustrate the Law of Syllogism?
Given: If the power is cut, then the refrigerator will not work.
If the refrigerator will not work, then the food will spoil.
Conclude: If the power is cut, then the food will spoil.
yes
no
Does the following argument illustrate the Law of Syllogism?
Given: If the power is cut, then the refrigerator will not work.
If the refrigerator will not work, then the food will spoil.
Conclude: If the power is cut, then the food will spoil.
yes
no
Yes, the argument illustrates the Law of Syllogism. The first statement states that if the power is cut, then the refrigerator will not work. The second statement states that if the refrigerator will not work, then the food will spoil. By applying the Law of Syllogism, we can conclude that if the power is cut, then the food will spoil.
1 answer