3.1 Types of Knowing Assignment

1. Deductive or Inductive?

Every time you study for a test, you get a good grade. You conclude that studying for a test will earn you a good grade.

• Inductive Reasoning

• Deductive Reasoning

• Not Enough Info

Answer explanation

This is based on experimentation, not facts!

2. Inductive or Deductive Reasoning?

You know that red meat has iron in it, so you conclude that the steak on your plate has iron in it.

• Inductive Reasoning

• Deductive Reasoning

• Not enough info

Answer explanation

The conclusion is based on the scientific fact red meat has iron in it.

3. Inductive or Deductive Reasoning?

You add up the angle measures inside 5 different triangles and see that they add up to 180 degrees. You conclude that the angles in triangles have a sum of 180 degrees.

• Inductive Reasoning

• Deductive Reasoning

• Not enough info

Answer explanation

The conclusion is based on experimentation (not a theorem, even though one exists).

4. Inductive or Deductive Reasoning?

You learn that parallelograms have two pairs of parallel sides. You conclude that a rectangle has two pairs of parallel sides also.

• Inductive Reasoning

• Deductive Reasoning

• Not enough info

Answer explanation

The conclusion is based on a learned definition of parallelograms.

5. Inductive or Deductive Reasoning?

All people who live in Houston, Texas live in Texas, and all people who live in Texas live in the United States. You conclude that everyone in Texas lives in the United States.

• Inductive Reasoning

• Deductive Reasoning

• Not enough info

Answer explanation

The conclusion is based on geography facts.

6. Determine the type of knowing: Every time I have drawn a ray with its endpoint on a line and measure the two angles formed with a protractor, they add up to 180 degrees. So, adjacent angles that form a straight line are supplementary.

• Knowing based on authority

• Knowing based on diagrams

• Knowing based on examples

• Knowing based on logical reasoning

Answer explanation

repeated experiment

7. Determine the type of knowing: You know triangles that have a right angle are classified as right triangles. You know the sides of a right triangle have a relationship described by the Pythagorean Theorem. So, you have concluded that when you have a right triangle, you can use the Pythagorean Theorem to find missing sides.

• Knowing based on authority

• Knowing based on diagrams

• Knowing based on examples

• Knowing based on logical reasoning

Answer explanation

Based on theorems and facts

8. Determine the type of knowing: I know supplementary means the two angles add up to 180 degrees because my teacher told me.

• Knowing based on authority

• Knowing based on diagrams

• Knowing based on examples

• Knowing based on logical reasoning

Answer explanation

trust what you were told

9. Determine the type of knowing: We tore off the corners of a triangle and placed them together to have a straight line. Since we had everyone in our class do it, we know the angles of a triangle will add up to 180 degrees.

• Knowing based on authority

• Knowing based on diagrams

• Knowing based on examples

• Knowing based on logical reasoning

Answer explanation

There were many examples used to make the conclusion.

10. Determine the type of knowing: I know the Pythagorean Theorem only works for right triangles because I read it in a book.

• Knowing based on authority

• Knowing based on diagrams

• Knowing based on examples

• Knowing based on logical reasoning

Answer explanation

This one is strange. Ultimately, the conclusion is drawn because of what the author wrote, so based on authority. If it stated "read a proof" it would be logical reasoning, but we don't know what kind of book it was.