We are given the following true conditional statement.
&If a quadrilateral is a square,
&then it has four right angles.We are asked to use the Law of Detachment to determine what we can conclude from the following information.
QuadrilateralQRSThas four right angles.
According to the Law of Detachment, if the hypothesis of a true conditional statement is true, then the conclusion is also true. Let's identify the hypothesis p and the conclusion q in our true conditional statement.
&If a quadrilateral is a square,
&then it has four right angles.
From the exercise we know that QRST has four right angles. This corresponds to the conclusion of the conditional statement. Therefore, we do not know whether the hypothesis is true for QRST. This means that we cannot say nothing more about QRST by the Law of Detachment.
