Question

Which answers are examples of deductive reasoning?

Select each correct answer.


a. Cathy is a good singer. Therefore, Cathy’s sister is a good singer.

b. The radius of a circle is one-half the length of the diameter of a circle. The diameter of a circle is 10 ft. Therefore, the radius of the circle is 5 ft.

c. The fair charges $5 for admission. Tom is going to the fair today. Therefore, Tom will spend $5 for admission to the fair today.

d. For the past 2 years, 6 inches of snow fell in December. Therefore, 6 inches of snow will fall this December.

Answer 1

Your answer is C "The fair charges $5 for admission. Tom is going to the fair today. Therefore, Tom will spend $5 for admission to the fair today." Hope this helps!

Answer 2

Options B and C are correct.

Explanation:

Deductive reasoning is a logical reasoning process where a conclusion is based on the similarities of multiple premises that are generally assumed to be true.

Usually a single logical statement forms as the base of an argument, to reach the conclusion.

The correct answers are :

• The radius of a circle is one-half the length of the diameter of a circle. The diameter of a circle is 10 ft. Therefore, the radius of the circle is 5 ft.

we know that r = diameter / 2

So, it is true that if diameter is 10, then radius will be = 10 / 2 = 5

• The fair charges $5 for admission. Tom is going to the fair today. Therefore, Tom will spend $5 for admission to the fair today.

This is also correct as, if the fair has some admission fee, then Tom will have to pay that much amount to go there.