What is the biconditional that matches the statement: "A right angle is an angle with 90 degrees."

An angle is a right angle if and only if it has 90 degrees.

If an angle has 90 degrees, then it is a right angle.

If an angle is a right angle, then it has 90 degrees.

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

What counterexample makes the following biconditional false? "It is Halloween if and only if it is October 31."

This is a true biconditional, so it has no counterexamples.

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

What has to happen in order to write a biconditional statement?

converse of the conditional has to be true

Biconditional Statements and Logical Reasoning

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Mathematics

9th - 12th Grade

Biconditional Statements and Logical Reasoning

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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 it's not odd.

Then it's a whole number.

Then its square is divisible by 4

Then it's even.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

If angles are congruent.

Angles are congruent.

Then the measures of the angles are equal.

The measures of the angles are equal.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

Converse

Inverse

Contrapositive

Negation

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

If I have a Siberian Husky.

I have a Siberian Husky.

Then I have a dog.

I have a dog.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine whether the stated conclusion is valid.
Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments.
R is the midpoint of QS.
Conclusion: QR=RS

Valid

R is the midpoint

Invalid

A point is the midpoint of a segment.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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 not shining, we will not go hiking.

If the sun is shining then we will go hiking.

No conclusion can be made.

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

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

If I do not have a Siberian Husky, then I do not have a dog.

If I have a dog, then I have a Siberian Husky.

If I do not have a dog, then I do not have a Siberian Husky.

If I do not have a Siberian Husky, then I have a dog.

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Biconditional Statements and Logical Reasoning

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.

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

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

Determine whether the stated conclusion is valid.
Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments.
R is the midpoint of QS.
Conclusion: QR=RS

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

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

Which law of logic is this?
If I clean the bathroom, then I don't have to do the dishes.
I cleaned the bathroom.
Therefore, I don't have to do the dishes.

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Biconditional Statements and Logical Reasoning

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.

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

Conditional: If Maria gets married, then the reception will be at the country club.What is this statement: If the reception is at the country club, then Maria will be getting married.

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

Determine whether the stated conclusion is valid.Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments. R is the midpoint of QS.Conclusion: QR=RS

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

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

Draw a conclusion from the statement.If you are at least 25 year old, then you can rent a car.You can rent a car

Which law of logic is this?If I clean the bathroom, then I don't have to do the dishes. I cleaned the bathroom. Therefore, I don't have to do the dishes.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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.

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

Determine whether the stated conclusion is valid.
Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments.
R is the midpoint of QS.
Conclusion: QR=RS

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

Which law of logic is this?
If I clean the bathroom, then I don't have to do the dishes.
I cleaned the bathroom.
Therefore, I don't have to do the dishes.