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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.

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

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

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

D. If a quadrilateral is a square, then it is a rectangle.

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Answer: If a quadrilateral is a square, then it is a rectangle. (choice D.)

Step-by-step explanation:

The Law of Syllogism states that if the following two statements are true: If p , then q . If q , then r . Then we can derive a third true statement: If p , then r .

We can apply this rule in the conditional statements:

If a quadrilateral is a square, (p) then it has four right angles. (q)

If a quadrilateral has four right angles, (q) then it is a rectangle. (r)

Therefore:

If a quadrilateral is a square, (p) then it is a rectangle. (r)

I hope this helps!

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