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.

1 answer

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.