Conditionals Practice

Consider the Statement:

An acute angle is less than  $90\degree$  
Rewrite the statement as a conditional statement.

• All acute angles are less than  $90\degree$  

• If an angle is acute then it is less than  $90\degree$  

• An obtuse angle is greater than  $90\degree$  

• If an angle is obtuse then it is greater than  $90\degree$  

Conditional: If a shape is a triangle then it has 3 sides.

Identify the converse.

• If a shape isn't a triangle then it doesn't have 3 sides.

• If a shape has 3 sides then it is a triangle.

• If a shape doesn't have 3 sides then it isn't a triangle.

• Triangles have 3 sides.

Conditional: If a shape is a triangle then it has 3 sides.

Identify the inverse.

• If a shape isn't a triangle then it doesn't have 3 sides.

• If a shape has 3 sides then it is a triangle.

• If a shape doesn't have 3 sides then it isn't a triangle.

• Triangles have 3 sides.

Conditional: If a shape is a triangle then it has 3 sides.

Identify the contrapositive.

• If a shape isn't a triangle then it doesn't have 3 sides.

• If a shape has 3 sides then it is a triangle.

• If a shape doesn't have 3 sides then it isn't a triangle.

• Triangles have 3 sides.

A conditional statement is traditionally written in an if p then q format.

In the statement if p then q, which is the hypothesis?

• p

• q

• if p then q

• p,q

A conditional statement is traditionally written in an if p then q format.

In the statement if p then q, which is the conclusion?

• p

• q

• if p then q

• p,q

Which description below matches the simple definition of

inverse

• Identify the hypothesis and conclusion

• Write the conditional based on the identified p and q

• Reverse the p and the q (result isn't always true)

• Negate the p and q

• Reverse and negate the p and q

Tags

CCSS.HSF.BF.B.4

Which description below matches the simple definition of

contrapositive

• Identify the hypothesis and conclusion

• Write the conditional based on the identified p and q

• Reverse the p and the q (result isn't always true)

• Negate the p and q

• Reverse and negate the p and q

Which description below matches the simple definition of

converse

• Identify the hypothesis and conclusion

• Write the conditional based on the identified p and q

• Reverse the p and the q (result isn't always true)

• Negate the p and q

• Reverse and negate the p and q

Inductive reasoning is:

• Based on observations

• Based on known/established facts/evidence

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4