Question

construct arguments determine a valid conclusion from the given statements, if possible. then state whether your conclusion was determined using the law of detachment or the law of syllogism. if no valid conclusion can be determined, select no valid conclusion. justify your argument. given: if a figure is a square, then all the sides are congruent. figure abcd is a square. select choice select choice select choice no valid conclusion figure abcd has all sides congruent figure abcd has four right angles get a hint

Explanation:

Step1: Identify the conditional statement

The given conditional statement is "If a figure is a square, then all the sides are congruent".

Step2: Identify the hypothesis being true

The statement "Figure ABCD is a square" means the hypothesis of the conditional statement is true.

Step3: Apply the Law of Detachment

By the Law of Detachment, if a conditional statement "If p, then q" is true and p is true, then q is true. Here p is "a figure is a square" and q is "all the sides are congruent". Since Figure ABCD is a square (p is true), we can conclude that all sides of Figure ABCD are congruent.

Answer:

Figure ABCD has all sides congruent, determined using the Law of Detachment