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Chapter 3: Q2 (page 107)

Tell whether the reasoning process is deductive or inductive.

KY did his assignment, adding the lengths of the sides of triangles to find the perimeters. Noticing the results for several equilateral triangles, he guesses that the perimeter of every equilateral triangle is three times the length of a side.

Short Answer

Expert verified

The reasoning process is inductive.

Step by step solution

01

Step 1. Define deductive reasoning

Deductive reasoning is conclusions based on accepted statements like a theorem, postulate, facts etc.

02

Step 2. Define inductive reasoning

Inductive reasoning is conclusions based on several past observations.

03

Step 3. State whether reasoning is inductive or deductive

From the given statement “KY did his assignment, adding the lengths of the sides of triangles to find the perimeters. Noticing the results for several equilateral triangles, he guesses that the perimeter of every equilateral triangle is three times the length of a side.”, it is clear that the conclusion is based on several past observations.

Thus, this conclusion is probably true but not necessarily true.

Therefore, the reasoning process is inductive.

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