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AssignmentMultiple Choice

Introduction to Proof

Question 1 • (A. Costello)WCA 5324 Geometry 1st Nine Weeks 26-27

Which is an example of deductive reasoning?

Answer
A
Ali notices that a plant grows 2 inches each week. Nikki has a plant, so it must grow 2 inches each week.
B
Bruce asks his friends what kind of music they like best. They all say rock, so everyone in the world likes rock music best.
C
All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.

Explanation

Deductive reasoning applies a general rule to a specific case. All even numbers are divisible by 2, and 18 is an even number, so 18 must be divisible by 2. This makes “All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2” the example of deductive reasoning.

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