Could you please help me with this question? I am not sure how to answer it. Indicate whether the deductive reasoning used is an example of affirming the hypothesis or denying the conclusion.
The four sided figure has four right angles, it is a rectangle. Shape ABCD has four right angles. Therefore, shape ABCD is a rectangle.
Your deductive reasoning sounds valid.
To determine if the deductive reasoning used is an example of affirming the hypothesis or denying the conclusion, we need to understand the definitions of these terms.
Affirming the hypothesis is a type of deductive reasoning in which we start with a general hypothesis or statement and draw a conclusion based on specific evidence that supports the hypothesis. In other words, we are confirming or agreeing with the initial statement or assumption.
Denying the conclusion, on the other hand, is a type of deductive reasoning in which we start with a general hypothesis or statement and draw a conclusion by negating or denying the opposite of the conclusion. In this case, we are rejecting or denying the initial statement or assumption.
Let's analyze the given deductive reasoning:
1. "The four-sided figure has four right angles, it is a rectangle." - This is a general hypothesis or statement, indicating that any four-sided figure with four right angles is a rectangle.
2. "Shape ABCD has four right angles." - This is the evidence or specific statement indicating that shape ABCD has four right angles.
3. "Therefore, shape ABCD is a rectangle." - This is the conclusion drawn based on the evidence.
In this case, the deductive reasoning used is an example of affirming the hypothesis. The initial hypothesis is that any four-sided figure with four right angles is a rectangle. The evidence given is that shape ABCD has four right angles, which supports the initial hypothesis. Therefore, the conclusion confirms or affirms the initial hypothesis.
So, to answer your question, the deductive reasoning used in this example is an example of affirming the hypothesis.