What is the conclusion to the statement?

You only like fried chicken from KFC

When can a biconditional statement be true?

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.

Is the given statement true: If the chair is empty, then class is not in session.

False. Someone could be absent.

True. Class can't happen if a chair isn't occupied.

True. Nobody sits down so we don't do work.

True. There are no chairs here, so the hypothesis is true.

What is the biconditional statement of the following conditional statement? “If Shelly lives in Texas, then she lives in the United States.”

Shelly lives in Texas if and only if she lives in the United States.

If Shelly lives in Texas, then she lives in the United States.

If Shelly lives in the United States, then she lives in Texas.

If Shelly does not live in Texas, then she does not live in the United States.

Consider the statement: If Ed lives in Texas, then he lives South of Canada. What is the CONVERSE of this statement?

If Ed lives South of Canada, then he lives in Texas.

If Ed lives in Texas, then he lives South of Canada.

For a conditional statement to be FALSE...

It must have a TRUE hypothesis and a FALSE conclusion.

It must have a TRUE hypothesis and a TRUE conclusion.

It must have a FALSE hypothesis and a FALSE conclusion.

It must have a FALSE hypothesis and a TRUE conclusion.

Consider the statement: If Ed lives South of Canada, then he lives in Texas. Which of the following is a COUNTEREXAMPLE to this false statement?

If Ed lives South of Canada, then he lives in Minnesota.

If Ed lives North of Canada, then he lives in Texas.

Which of the following is a biconditional of the following statements? If segments are congruent, then they have equal lengths. If segments of equal lengths, then they are congruent.

Segments are congruent if and only if they have equal lengths.

If segments are congruent, then they have equal lengths.

If segments of equal lengths, then they are congruent.

A converse of a conditional statement is formed by...

exchanging the words of the hypothesis with those of the conclusion

dropping "if" and replacing "then" with "if and only if"

keeping the true hypothesis and changing the conclusion to something different

A biconditional of two true conditional statement is formed by...

dropping "if" and replacing "then" with "if and only if"

exchanging the words of the hypothesis with those of the conclusion

keeping the true hypothesis and changing the conclusion to something different

Geometry - Conditional Statements

Authored by Patrick Kelcourse

Mathematics

9th - 10th Grade

CCSS covered

Used 558+ times

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23 questions

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MULTIPLE CHOICE QUESTION

20 sec • 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.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

If I have a Siberian Husky.

I have a Siberian Husky.

Then I have a dog.

I have a dog.

MULTIPLE CHOICE QUESTION

30 sec • 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

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

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

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

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.

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

If the angles are congruent.

The angles are congruent.

Then the measures of the angles are equal.

The measures of the angles are equal.

What is the hypothesis of the following statement: "If Johnny is late to school, then his mom will have to drive him."

His mom will have to drive him

If Johnny is late to school

Johnny is late to school

Then his mom will have to drive him

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Geometry - Conditional Statements

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.

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

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

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

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

What is the hypothesis of the following statement: "If Johnny is late to school, then his mom will have to drive him."

What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."

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.

What is the conclusion to the statement?

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Discover more resources for Mathematics

Geometry - Conditional Statements

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.

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

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

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

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

What is the hypothesis of the following statement: "If Johnny is late to school, then his mom will have to drive him."

What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."

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.

What is the conclusion to the statement?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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.