Geometry- Logic Review (Lesson 2.1 Thru 2.4)

The type of reasoning where a person makes  conclusions based on observations and patterns is called...

• Inductive reasoning
• Deductive reasoning
• Conjecture
• Experiments

What is a conjecture?

• A statement believed to be true based on observations.
• An example which disproves an hypothesis.
• the performance of tricks that are seemingly magical

Tags

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Complete the conjecture.  Think of examples to help.
The product of any two odd numbers is _____________

• even
• odd
• zero
• positive

Tags

CCSS.3.OA.D.9

What are the missing numbers in this pattern?
23, 33, ___, 53, ___, 73

• 32, 62
• 42, 63
• 43, 63
• 42, 62

Tags

CCSS.2.NBT.A.2

Used to prove that a conjecture is false.

• Counterexample
• Inductive Reasoning
• Concluding statement
• Conjecture

Which number is a counterexample to the following statement? : 
All numbers that are divisible by 2 are divisible by 4

• 0
• 12
• 28
• 42

Tags

CCSS.5.OA.B.3

According to the graph, which is a reasonable conjecture?

• More girls will participate in high school lacrosse in Year 8 than those who participated in Year 7.

• The number of girls participating in high school lacrosse will exceed the number of boys participating in high school lacrosse in Year 9.

• There were more girls participating in high school lacrosse in Year 5 than in Year 1.

• More girls will participate in lacrosse in the United States during Year 8 than in Sweden.

Tags

CCSS.HSF.IF.A.2

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

• Hypothesis: a man is 7 feet tall

  Conclusion: he plays basketball

• Hypothesis: IF a man is 7 feet tall

  Conclusion: THEN he plays basketball

• Hypothesis: THEN he plays basketball

  Conclusion: IF a man is 7 feet tall

• Hypothesis: he plays basketball

  Conclusion: a man is 7 feet tall

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Which of the following is true about the conditional statement below?

If you are in Alaska, then you are

cold.

• Hypothesis: you are in Alaska

  Conclusion: you are

  cold

• Hypothesis: IF you are in Alaska

  Conclusion: THEN you are

  cold

• Hypothesis: THEN you are

  cold

  Conclusion: IF you are in Alaska

• Hypothesis: you are

  cold

  Conclusion: you are in Alaska

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Which of the following is the CONVERSE of the statement below?

If an object is a ring, then it is

made of gold.

• If an object is made of gold, then it is a ring.

• If an object is not a ring, then it is not made of god.

• If an object is not made of gold, then it is not a ring.

• There is no converse of the statement.