Quiz about Geometry - Conditional Statements

Question 1

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 2

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

Accepted Answer

I have a Siberian Husky.

Answer

If I have a Siberian Husky.

Answer

Then I have a dog.

Answer

I have a dog.

Question 3

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

Accepted Answer

I have a dog.

Answer

If I have a Siberian Husky.

Answer

I have a Siberian Husky.

Answer

Then I have a dog.

Question 4

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

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

Accepted Answer

Angles are congruent.

Answer

If angles are congruent.

Answer

Then the measures of the angles are equal.

Answer

The measures of the angles are equal.

Question 6

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

Accepted Answer

The measures of the angles are equal.

Answer

If the angles are congruent.

Answer

The angles are congruent.

Answer

Then the measures of the angles are equal.

Question 7

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

Accepted Answer

Johnny is late to school

Answer

His mom will have to drive him

Answer

If Johnny is late to school

Answer

Then his mom will have to drive him

Question 8

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

Accepted Answer

the angles are supplementary

Answer

if they add up to 180 degrees

Answer

they add up to 180 degrees

Answer

there is no conclusion

Question 9

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.

Accepted Answer

Converse

Answer

Inverse

Answer

Contrapositive

Answer

Negation

Question 10

What is the conclusion to the statement?

Accepted Answer

You like KFC

Answer

You like fried chicken

Answer

You only like fried chicken from KFC

Answer

You hate KFC

Question 11

When can a biconditional statement be true?

Accepted Answer

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

Answer

When the inverse and the converse are both true

Answer

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

Answer

When the converse is true.

Question 12

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

Accepted Answer

False.  Someone could be absent.

Answer

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

Answer

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

Answer

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

Question 13

Consider the statement:

If Julie eats tomatoes, then she likes salad.

What is the hypothesis?

Accepted Answer

Julie eats tomatoes

Answer

If Julie eats tomatoes

Answer

then she likes salad

Answer

she likes salad

Answer

None of these

Question 14

Consider the statement:

If Julie eats tomatoes, then she likes salad.

What is the conclusion?

Accepted Answer

she likes salad

Answer

If Julie eats tomatoes

Answer

Julie eats tomatoes

Answer

then she likes salad

Answer

None of these

Question 15

Consider the statement:

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

Is the statement TRUE/FALSE/Cannot be determined?

Accepted Answer

True

Answer

False

Answer

Cannot be determined

Question 16

Consider the statement:

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

What is the CONVERSE of this statement?

Accepted Answer

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

Answer

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

Answer

Ed lives in Texas

Answer

Ed lives South of Canada

Answer

None of these

Question 17

Consider the statement:

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

Is the CONVERSE of this statement TRUE/FALSE/Cannot be determined?

Accepted Answer

False

Answer

True

Answer

Cannot be determined

Question 18

For a conditional statement to be FALSE...

Accepted Answer

It must have a TRUE hypothesis and a FALSE conclusion.

Answer

It must have a TRUE hypothesis and a TRUE conclusion.

Answer

It must have a FALSE hypothesis and a FALSE conclusion.

Answer

It must have a FALSE hypothesis and a TRUE conclusion.

Question 19

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?

Accepted Answer

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

Answer

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

Question 20

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.

Accepted Answer

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

Answer

If segments are congruent, then they have equal lengths.

Answer

If segments of equal lengths, then they are congruent.

Question 21

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

Accepted Answer

exchanging the words of the hypothesis with those of the conclusion

Answer

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

Answer

keeping the true hypothesis and changing the conclusion to something different

Question 22

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

Accepted Answer

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

Answer

exchanging the words of the hypothesis with those of the conclusion

Answer

keeping the true hypothesis and changing the conclusion to something different

Geometry - Conditional Statements

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