According to the Law of Syllogism we know the following.
&1. If hypothesis p, then conclusion q. [0.5em]
&2. If hypothesis q, then conclusion r.
&3. If hypothesis p, then conclusion r.
Let's write the two conditional statements side-by-side.
&1. If a figure is a square,
&then the figure has four congruent sides. [0.5em]
&2. If a figure is a square,
&then the figure has four right angles
The hypothesis of the second conditional statement does not match the conclusion of the first conditional statement. Therefore, we cannot use the Law of Syllogism to write a third conditional statement.
