Write a conditional for the given diagram

If an integer is divisible by 8, then it is divisible by 2

If an integer is divisible by 2, then it is divisible by 8

B -> Q AND Q -> B are both true

All B and all Q values are true

What's the difference between = and ≅?

= is for measurements, ≅ is for geometric figures

= is for geometric figures, ≅ is for measurements

There's no difference (they have the same meaning)

= is used in standard geometry, ≅ is used in Euclidian geome

How can you prove step #2?

Subtraction property of equality

Transitive property of congruence

Definition of supplementary angles

How can you prove step #4?

Subtraction property of equality

Transitive property of congruence

Definition of supplementary angles

How can you prove step #5?

Transitive property of congruence

Subtraction property of equality

Definition of supplementary angles

If two lines do not intersect then they are coplanar and parallel, or skew. Lines AB and CD do not intersect.

Lines AB and CD are parallel and coplanar or they are skew.

Lines AB and CD are parallel and not coplanar.

If there is lightening, then it is not safe to be out in the open. Mary sees lightening from her home.

It is not safe for Marty to be out in the open.

It is not safe for the lightening

If we see John on Monday, then we can ask him over for lunch. We see John on Monday.

We asked John to have lunch with us.

No conclusion can be made since the hypothesis did not occur.

If two planes intersect, then their intersection is a line. If two planes are not parallel, then they intersect.

If two planes are not parallel, then their intersection is a iine.

If two planes intersect they are not parallel.

If two planes are parallel, then they do not intersect.

If it rains on Tuesday we will not go to the park on Tuesday. If we do not go to the park on Tuesday we will go on Wednesday.

If it rains on Tuesday, we will go Wednesday.

If we go to the park on Wednesday, then it rained on Tuesday.

If we go to the park on Tuesday, then it rained on Tuesday.

If you go to the swimming pool, then you will enjoy yourself. If you enjoy yourself, you will want to return.

If you go to the pool, you will want to return.

If you return to the pool you will enjoy yourself.

If you enjoy yourself, then you went to the pool.

If the sun is shining it is a beautiful day. If it is a beautiful day then we will go go hiking.

If the sun is shining then we will go hiking.

If the sun is not shining, we will not go hiking.

If we go hiking, then it is a beautiful day.

Use the law of syllogism to draw a conclusion from the two given statements: Statement 1: If you exercise regularly, then you have a healthy body Statement 2: If you have a healthy body, then you have more energy

If you exercise regularly, then you have more energy

If you do not have a healthy body, then you do not exercise regularly

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Statement 1: If I study for one hour each day, then I will score well on the exam Statement 2: I will score well on the exam

I do not study for 1 hour each day

If I do well on the exam, I studied for 1 hour each day.

If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Statement 1: If x = 2, then 2x – 10 = –6. Statement 2: x = 2

If 2x – 10 = –6, then x = 2

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion? If it is snowing heavily, then school will be canceled. If school is canceled, the big test will not be given today. It is snowing heavily, therefore

the big test will not be given today.

look out for the snowplows while driving to school.

the roads will be hard to drive on.

you should call the school to see if school is canceled.

Chapter 2 Review (8DA)

Authored by Robert Glassner

Mathematics

8th Grade

CCSS covered

Used 20+ times

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117 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Inductive reasoning goes from _ to _

General to specific

Specific to general

Tags

CCSS.RI.8.1

CCSS.RL.8.1

CCSS.RL.7.1

CCSS.RI.7.1

CCSS.RI.8.8

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Deductive reasoning goes from _ to _

General to specific

Specific to general

Tags

CCSS.RI.8.1

CCSS.RL.8.1

CCSS.RL.7.1

CCSS.RI.8.8

CCSS.RI.7.8

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What type of reasoning explains the next terms? 3, 9, 27, _

Inductive

Deductive

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What's the next terms in the sequence? 3, 9, 27, _

243

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is a conjecture?

An educated guess

A prediction

A conclusion reached from inductive reasoning

A counterexample to a counterexample

Tags

CCSS.6.SP.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Circle with 1 diameter has 2 parts, 2 diameters have 4 parts, 3 diameters have 6 parts. Make a conjecture about a circle with 5 diameters.

It will have 10 parts

It will have 25 parts

It will have 5 parts

It will have 50 parts

Tags

CCSS.8.EE.B.5

CCSS.8.F.A.1

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.F.B.5

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

How many counterexamples do you need to prove a conjecture false?

3 (the minimum for scientific proof)

An equal amount to the number of conjectures

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Chapter 2 Review (8DA)

Inductive reasoning goes from _ to _

Deductive reasoning goes from _ to _

What type of reasoning explains the next terms? 3, 9, 27, _

What's the next terms in the sequence? 3, 9, 27, _

What is a conjecture?

Circle with 1 diameter has 2 parts, 2 diameters have 4 parts, 3 diameters have 6 parts. Make a conjecture about a circle with 5 diameters.

How many counterexamples do you need to prove a conjecture false?

Mark runs a mile in 6 mins. If your mile time is less than 8 mins, then you can be on the team. Mark is on the team. What type of reasoning is this?

All speeders are ticketed. Jim is a speeder. Jim was ticketed.

1, 2, 6, 24, 120, _

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