If a quadrilateral is a square, then it is a rectangle. If a quadrilateral is a rectangle, then it is a parallelogram. Use laws of logic to draw a conclusion from the given statements. A. If a quadrilateral is not a square, then it is not a parallelogram. B. If a quadrilateral is a parallelogram, then it is a square. C. If a quadrilateral is a square, then it is a parallelogram. D. If a quadrilateral is a parallelogram, then it is a rectangle.

C. If a quadrilateral is a square, then it is a parallelogram. Let's look at the 4 options and see which one fits. A. If a quadrilateral is not a square, then it is not a parallelogram. This doesn't apply because it's possible for the quadrilateral to be a rectangle and by the logic above, also a parallelogram. Remember, the way the logic statements are stated it's "If X then Y", it's not "If and only if X, then Y". So it's entirely possible for condition Y to be true even through condition X is false. B. If a quadrilateral is a parallelogram, then it is a square. This one is also wrong. Having the statement "If X, then Y" does NOT mean that "If Y, then X" is true. C. If a quadrilateral is a square, then it is a parallelogram. This one fits. If the quadrilateral is a square, then it's a rectangle. And additionally, if a quadrilateral is a rectangle, it's also a parallelogram. Or you can say "If X, then Y" and "If Y, then Z" which means "If X, then Z" D. If a quadrilateral is a parallelogram, then it is a rectangle. Once again, you can only go forward. So this answer is wrong too.