Question

what conclusion can you draw from the following statements? • if a figure is a square, then it has four sides. • if a figure has four sides, then it is not a triangle. a. if a figure is not a triangle, then it is a square. b. if a figure has four sides, then it is a square. c. if a figure is a square, then it is not a triangle. d. if a figure is not a triangle, then it has four sides.

Explanation:

Step1: Analyze the given statements

Let \(p\): A figure is a square. Let \(q\): A figure has four sides. Let \(r\): A figure is not a triangle. The first statement is \(p
ightarrow q\) and the second is \(q
ightarrow r\).

Step2: Use the law of syllogism

By the law of syllogism, if \(p
ightarrow q\) and \(q
ightarrow r\), then \(p
ightarrow r\). That is, if a figure is a square, then it is not a triangle.

Answer:

C. If a figure is a square, then it is not a triangle.