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 square, 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 has four right angles, then it is a square.

Answer 1

Using the Law of Syllogism, we can conclude the following:

1. If a quadrilateral is a square, then it has four right angles.
2. If a quadrilateral has four right angles, then it is a rectangle.
3. Therefore, if a quadrilateral is a square, then it is a rectangle.