Deductive vs. Inductive Reasoning in Geometry

In this lesson, Justin explains deductive and inductive reasoning, two types of logic used to reach conclusions. Deductive reasoning involves conclusions based on facts, ensuring they are always true. Inductive reasoning involves predictions based on patterns or observations, which may not always be true. The lesson includes examples and practice problems to help distinguish between the two reasoning types.

What are the two types of reasoning discussed in this lesson?

• Empirical and Theoretical

• Logical and Analytical

• Qualitative and Quantitative

• Deductive and Inductive

What is the key characteristic of deductive reasoning?

• It is based on patterns and observations

• It involves making educated guesses

• It is based on opinions

• It always leads to true conclusions

In the example given, why must Kelly be at least 18 years old?

• Because she looks mature

• Because she is in college

• Because she has a driver's license

• Because she voted in the election

What is inductive reasoning based on?

• Facts

• Opinions

• Observations and patterns

• Assumptions

Why can't we guarantee the conclusion reached by inductive reasoning?

• Because it is always true

• Because it is based on opinions

• Because patterns can change

• Because it is based on facts

What type of reasoning is used when predicting the next number in a series?

• Analytical

• Logical

• Inductive

• Deductive

If a conclusion is based on definitive facts, what type of reasoning is it?

• Inductive

• Theoretical

• Deductive

• Empirical

What type of reasoning is used if all cell phones contain an antenna and smartphones are cell phones?

• Deductive

• Inductive

• Empirical

• Logical

What conclusion can be drawn if 450 ends in zero and all multiples of 10 end in zero?

• 450 is a fraction

• 450 is a multiple of 10

• 450 is a prime number

• 450 is an odd number

What type of reasoning is used when predicting the next shape in a series based on the number of sides?

• Empirical

• Logical

• Inductive

• Deductive