Inductive and Deductive Reasoning Challenge

What type of reasoning uses specific examples to form a generalization?

• Abductive reasoning

• Analogical reasoning

• Inductive reasoning

• Deductive reasoning

What is a conjecture?

• A mathematical theorem

• An educated guess based on known information

• A random guess

• A proven fact

In the sequence 1, 2, 4, 8, 16, what is the next number?

• 24

• 30

• 32

• 36

If angle ABC is 45° and angle CBD is 135°, what can be said about these angles?

• They are vertical angles

• They are congruent

• They are supplementary

• They are complementary

What does the Law of Detachment state?

• If P then Q, and P is false, then Q is false

• If P then Q, and Q is false, then P is false

• If P then Q, and P is true, then Q is true

• If P then Q, and Q then R, then P then R

If two angles are vertical angles, what can be concluded?

• They are supplementary

• They are adjacent

• They are complementary

• They are congruent

If the measure of an angle is less than 90°, what type of angle is it?

• Right angle

• Obtuse angle

• Acute angle

• Straight angle

What does the Law of Syllogism state?

• If P then Q, and P is true, then Q is true

• If P then Q, and Q is false, then P is false

• If P then Q, and P is false, then Q is false

• If P then Q, and Q then R, then P then R

If a point is the midpoint of a segment, what can be concluded about the segments?

• They are supplementary

• They are adjacent

• They are complementary

• They are congruent

If you are a ballet dancer, then you like classical music. If you like classical music, then you enjoy the opera. What can be concluded?

• If you enjoy the opera, then you like classical music

• If you are a ballet dancer, then you enjoy the opera

• If you like classical music, then you are a ballet dancer

• If you enjoy the opera, then you are a ballet dancer