Question

Assume that you have a square. What can you conclude from applying the law of detachment to this conditional?

If you have a square, then you have a rectangle.

A) All sides are the same length.

B) You have a quadrilateral.

C) Squares and rectangles are the same.

D) You have a rectangle.

Answer 1

D) You have a rectangle.

Explanation:

The law of detachment, also known as modus ponens, states that if we have a true conditional statement "If P, then Q," and we know that P is true (in this case, having a square), then we can conclude that Q is true (in this case, having a rectangle).