M3-P2 Conjectures and Counterexamples

Front

What does deductive reasoning use to form its arguments?

Back

Facts, definitions, accepted properties, and laws of logic.

Front

Make a conjecture about the geometric relationship: ∠1 and ∠2 are a linear pair.

Back

∠1 + ∠2 = 180.

Tags

CCSS.7.G.B.5

Front

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

Back

Inductive.

Tags

CCSS.HSS.CP.A.5

Front

How can you prove a conjecture is false?

Back

Counterexample.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What is a conjecture?

Back

A statement believed to be true based on observations.

Front

What is the difference between inductive and deductive reasoning?

Back

Inductive reasoning uses specific examples to form generalizations, while deductive reasoning uses general principles to reach specific conclusions.

Tags

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RL.8.1

CCSS.RI.8.8

CCSS.RI.8.1

Front

What is a counterexample?

Back

An example that disproves a conjecture.

Front

If two angles are complementary, what is the sum of their measures?

Back

90 degrees.

Tags

CCSS.7.G.B.5

Front

If two angles are supplementary, what is the sum of their measures?

Back

180 degrees.

Tags

CCSS.7.G.B.5

Front

What is the first step in proving a conjecture?

Back

Gather evidence or examples to support the conjecture.

Tags

CCSS.6.SP.B.5B