Inductive Reasoning and Conjecture in Geometry

What is inductive reasoning primarily based on?

• Using a hypothesis to form a conclusion

• Using a counterexample to form a conclusion

• Using multiple examples to form a conclusion

• Using a single example to form a conclusion

What is a conjecture?

• A hypothesis

• A counterexample

• A proven fact

• An educated guess based on examples

In the sequence -5, 10, -20, 40, what is the next number?

• -80

• 80

• 20

• -40

In the sequence 1, 10, 100, 1000, what is the next number?

• 10000

• 100

• 1000

• 100000

If points A, B, and C are collinear, what can be said about them?

• They form a right angle

• They are on different planes

• They are on the same line

• They form a triangle

If angle 1 and angle 2 form a right angle, what can be said about them?

• They are supplementary

• They are congruent

• They are complementary

• They are vertical angles

What is a counterexample?

• An example that disproves a conjecture

• An example that is hypothetical

• An example that supports a conjecture

• An example that is irrelevant

If points A, B, and C are collinear, does AB + BC always equal AC?

• Yes, if B is in the middle

• No, never

• Yes, always

• No, if A is in the middle

If angle R and angle S are supplementary, and angle R and angle T are supplementary, what can be said about angle S and angle T?

• They are adjacent

• They are vertical angles

• They are complementary

• They are congruent

If segment DE is perpendicular to segment EF, what can be said about angle DEF?

• It is an acute angle

• It is an obtuse angle

• It is a supplementary angle

• It is a right angle