Exercise 23 Page 456

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. Notice that the conclusion of the first conditional statement matches the hypothesis of the second conditional statement. Let's write the two conditional statements side-by-side. &1. If a figure is a rhombus, &then the figure is a parallelogram. [0.5em] &2. If a figure is a parallelogram, &then the figure has two pairs of &opposite sides that are parallel. &3. If a figure is a rhombus, &then the figure has two pairs of & opposite sides that are parallel. The two conditional statements allow us to use the Law of Syllogism to write a third conditional statement.