Conditional, Converse, Bi-Conditional

Today is a weekday so we have school.

Identify the conditional statement

• If we have school, then today is a weekday.

• If today is a weekday, then we have school.

• Today is a weekday if and only if we have school.

Given the conditional statement:

"If an angle is greater than 90 degrees, then it is obtuse."

Identify the converse statement.

• An angle is greater than 90 degrees if and only if it is obtuse.

• An angle is greater than 90 degrees when it is obtuse.

• If an angle is obtuse, then it is greater than 90 degrees.

Can a bi-conditional statement be written if the conditional is true but the converse is false?

• yes

• no

If two angles have the same measure then they are congruent.

Identify the bi-conditional statement.

• The two angles are congruent because they have the same measure.

• If two angles are congruent, then they have the same measure.

• Two angles have the same measure and they are congruent.

• Two angles have the same measure if and only if they are congruent.

Which of the following can be used to write a bi-conditional statement? (Check all that apply)

• Iff

• $\leftrightarrow$

• $\rightarrow$

• if and only if

True or False: A bi-conditional is only true if BOTH the conditional & converse are true.

• True

• False

True or False: A bi-conditional is true if only the conditional is true.

• True

• False

Write the conditional statement:

The sun is out so it is daytime.

• If it is daytime, then the sun is out.

• The sun is out if and only if it is daytime.

• If the sun is out, then it is daytime.

• It is daytime if and only if the sun is out.