Logic and Proofs Unit Review

Provide a counterexample for:
If a sport takes place on a court, it must be basketball.

• the sport could be tennis
• the sport could be swimming
• the sport could be golf
• the sport could be cross country

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

What is the next term in the sequence:
1, 1, 2, 3, 5, 8, 13, ...

• 17
• 20
• 21
• 24

Tags

CCSS.HSF.IF.A.3

If something is an angle, then it is acute. What is an appropriate counter-example?

• 70⁰

• 45⁰

• 120⁰

• True. There is no counterexample.

Tags

CCSS.4.G.A.1

Use inductive reasoning to finish the pattern: 400, 200, 100, 50, ____

• -150
• 25
• 12.5
• 0

Tags

CCSS.HSF.IF.A.3

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

A conjecture is:

• a false example in a compound statement

• a compound statement using and or nor

• a concluding statement reached during inductive reasoning

• an educated guess based on empirical data, collected by a calculator

Fill in the reason for number 5. 

• Definition of congruent angles
• Angle Addition Postulate
• Substitution Property
• Transitive Property

Tags

CCSS.7.G.B.5

Which of the following is NOT a property of a good proof?

• Begins by stating the Given information.

• Ends with statement to be Proven.

• Includes a diagram.

• Includes false statements.

What is the REASON for Statement #2?

• Given
• Definition of Complementary Angles
• Substitution Property
• Reflexive Property of Congruence

Tags

CCSS.7.G.B.5

What is the REASON for Statement #3?

• Given
• Definition of Complementary Angles
• Substitution Property
• Reflexive Property of Congruence

Tags

CCSS.7.G.B.5

What is the REASON for Statement #5?

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

Tags

CCSS.7.G.B.5