WorksheetsConditional Statements
Total questions: 15
Worksheet time: 1hrs 15mins
What is a conditional statement?
if-then statement
if part
then part
a true or false statement
What is a hypothesis?
if-then statement
if part
then part
a true or false statement
What is a conclusion?
if-then statement
if part
then part
a true or false statement
Write this statement as a conditional statement.
"Thanksgiving in the United States falls on the fourth Thursday of November."
If it is a Thursday, then it is November.
If it is the fourth Thursday of November, then it is Thanksgiving in the United States.
If it is Thanksgiving, then it is in the United States.
If it is a Thursday, then it is Thanksgiving in the United States.
Write the following as a conditional statement.
"A counterexample shows that a conjecture is false."
If a conjecture is false, then a counterexample is shown.
If a counterexample is shown, then a conjecture is false.
If you have a conjecture, then the conditional statement is false.
If you are sitting in Geometry, then you are crying.
Determine if the conditional is true or false. If it is false, find a counterexample.
"If a polygon has 8 sides, then it is an octagon."
True
False
False, if a polygon has 8 sides, then it is a hexagon.
Determine if the conditional is true or false. If it is false, find a counterexample.
"If you live in a country that borders the United States, then you live in Canada."
True
False
False, if you live in a country that borders the United States, then you live in Canada or Mexico.
Determine if the conditional is true or false. If it is false, find a counterexample.
"If you play a sport with a ball and a bat, then you play baseball."
True
False
False, if you play a sport with a ball and a bat, then you play baseball or cricket.
Determine if the conditional is true or false. If it is false, find a counterexample.
"If an angle measures to 80 degrees, then it is acute."
True
False
False, if an angle measures to 80 degrees, then it is obtuse.
Select the inverse of the conditional statement.
"If you are a quarterback, then you play football."
If you play football, then you are a quarterback.
If you are not a quarterback, then you do not play football.
If you do not play football, then you are not a quarterback.
Select the converse of the conditional statement.
"If you are a quarterback, then you play football."
If you play football, then you are a quarterback.
If you are not a quarterback, then you do not play football.
If you do not play football, then you are not a quarterback.
Select the contrapositive of the conditional statement.
"If you are a quarterback, then you play football."
If you play football, then you are a quarterback.
If you are not a quarterback, then you do not play football.
If you do not play football, then you are not a quarterback.
Select the contrapositive of the conditional statement.
"If two lines lie on the same plane, then they are coplanar."
If they are coplanar, then they are two lines that lie on the same plane.
If two lines do not lie on the same plane, then they are not coplanar.
If they are not coplanar, then the two lines do not lie on the same plane.
Select converse of the conditional statement.
"If two lines lie on the same plane, then they are coplanar."
If they are coplanar, then they are two lines that lie on the same plane.
If two lines do not lie on the same plane, then they are not coplanar.
If they are not coplanar, then the two lines do not lie on the same plane.
Select inverse of the conditional statement.
"If two lines lie on the same plane, then they are coplanar."
If they are coplanar, then they are two lines that lie on the same plane.
If two lines do not lie on the same plane, then they are not coplanar.
If they are not coplanar, then the two lines do not lie on the same plane.
