Question

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 quadrilateral is a rectangle, then it has four right angles.


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.

Answer 1

Using the Law of Syllogism, we can conclude that:

If a quadrilateral is a square, then it has four right angles.
If a quadrilateral is a square, then it is a rectangle.

Therefore, if a quadrilateral is a square, then it is also a rectangle with four right angles.