Which of the following DOES NOT describe inductive reasoning?

process of reasoning based on known facts

reaches conclusion based on a pattern of specific examples

reaches conclusion based on past events

starts with an observation and works its way up

Which of the following DOES NOT describe deductive reasoning?

starts with an observation and works its way up

process of reasoning based on known facts

starts with a hypothesis and works its way down

uses evidence to reach a logical conclusion

Which of the following phrases can be found in a biconditional statement?

supercalifragilisticexpialidocious

In order to write a biconditional statement, which must be true?

$$p\rightarrow q$$ and $$q\rightarrow p$$

$$p\rightarrow q$$ and $$q\rightarrow r$$

$$p\rightarrow q$$ and $$\sim p\rightarrow\sim q$$

Write the following as a conditional statement: "Rain makes the grass grow."

If it is raining, then the grass will grow.

The grass will grow only if it rains.

If it does not rain, then the grass will not grow.

Write the following statement as a conditional statement: A dog with proper training will not misbehave.

If a dog has proper training, then it will not misbehave.

If a dog does not behave, then it had proper training.

A dog had proper training if and only if it will not misbehave.

What is a conjecture?

A statement believed to be true based on observations.

An example which disproves an hypothesis.

A statement that reverses the hypotheses and the conclusion.

Deductive reasoning means...

Drawing conclusions from situations based on facts and definitions

Guessing without any information

Sounding knowledgeable even when you are not

Testing and observing patterns to make conjectures

Identify the hypothesis and conclusion of the conditional statement: If you give me twenty dollars, then I will be your best friend.

Hypothesis: you give me twenty dollars Conclusion: I will be your best friend

Hypothesis: I will be your best friend Conclusion: you give me twenty dollars

Hypothesis: if you have to pay for friends Conclusion: then you probably should reevaluate your life

Hypothesis: you will not have to pay twenty dollars Conclusion: if you have lots of friends

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

If the measures of the angles are not equal, then the angles are not congruent.

If the measures of the angles are equal, then the angles are congruent.

If angles are not congruent, then the measures of the angles are not equal.

If the angles are not congruent, then the measure of the angles are equal.

Which two statements make up the following biconditionals: "A polygon is a triangle if and only if it has exactly 3 sides."

1. If a polygon is a triangle, then the polygon has exactly three sides. 2. If a polygon has exactly three sides then it is a triangle

1. If a polygon is not a triangle, then the polygon does not have three side. 2. If a polygon does not have three sides, then it is not a triangle.

1. A polygon is a triangle. 2. The polygon has three sides.

How can you combine the following statements as a biconditional? If this month is June, then next month is July. If next month is July, then this month is June.

This month is June if and only if the next month is July.

This month is not June if and only if the next month is not July.

If this month is July, then the previous month was June.

This month is July if and only if the previous month was June.

When can a biconditional statement be written?

When the original statement (conditional statement) and the converse are both true.

When the inverse and the converse are both true

When the original statement (conditional statement) & the contrapositive are both true.

"A bird is an animal that flies" is not a good definition because:

It and its converse are not true.

It does not use clearly understood terms.

It and its contrapositive are not true.

It and its inverse are not true.

Make a conclusion. 1. If a number is divisible by 10, then it is divisible by 2. 2. If a number is divisible by 2, then it is even.

If a number is divisible by 10, then it is even,

If a number is even, then it is divisible by 10.

If a number is divisible by 2, then it is even.

If a number is even, then it is divisible by 2.

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 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.

Draw a conclusion from the statement. If a whole number is even, then its square is divisible by 4. The number I am thinking of is an even number.

Then its square is divisible by 4

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.

Write the statement below as a conditional statement. Vertical Angles are congruent

If two angles are Vertical, then they are congruent.

Two angles are vertical if and only if they are congruent.

If two angles are congruent, then they are Vertical.

Deductive and Inductive Reasoning Conditional Statements and Algebraic Proofs

Authored by Barbara White

Mathematics

9th - 10th Grade

CCSS covered

Deductive and Inductive Reasoning Conditional Statements and Algebraic Proofs

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a conditional statement?

All even numbers are divisible by 2.

If an even number is divisible by 2.

Then even numbers are divisible by 2.

If an integer is an even number, then it is divisible by 2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you write the converse of a conditional statement?

Negate the hypothesis and conclusion

Reverse the hypothesis and conclusion

Negate and reverse the hypothesis and conclusion

Take it to Journeys and buy the converses.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which is the inverse of the given statement:
"If you are human, then you are mortal."

If you are not human, then you are not mortal.

If you are mortal, then you are human.

You are human if and only if you are mortal.

If you are not mortal, then you are not human.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do you call the first part of a conditional statement that follows the word "if"?

conclusion

hypnosis

hypothesis

conjunction

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do you call the second part of a conditional statement that follows the word "then"?

hypothesis

conclusion

conjecture

hypoallergenic

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the contrapositive of the given statement:
"If you are human, then you are mortal."

If you are not human, then you are not mortal.

If you are mortal, then you are human.

You are human if and only if you are mortal.

If you are not mortal, then you are not human.

Negate the following statement:
"I love geometry."

Geometry I love

If and only if I love geometry

If I love geometry, then I do not love geometry.

I do not love geometry

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Deductive and Inductive Reasoning Conditional Statements and Algebraic Proofs

Which of the following is a conditional statement?

How do you write the converse of a conditional statement?

Which is the inverse of the given statement:"If you are human, then you are mortal."

What do you call the first part of a conditional statement that follows the word "if"?

What do you call the second part of a conditional statement that follows the word "then"?

Which of the following is the contrapositive of the given statement:"If you are human, then you are mortal."

Negate the following statement:"I love geometry."

Which of the following DOES NOT describe inductive reasoning?

Which of the following DOES NOT describe deductive reasoning?

Find the next term:3, 5, 9, 15, 23, . . .

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Discover more resources for Mathematics

Which is the inverse of the given statement:
"If you are human, then you are mortal."

Which of the following is the contrapositive of the given statement:
"If you are human, then you are mortal."

Negate the following statement:
"I love geometry."

Find the next term:
3, 5, 9, 15, 23, . . .