Conditionals

What word(s) is associated with a conditional statement?

• and

• or

• If, then

• if and only if

Identify the hypothesis of this conditional:
If Sally goes to the park, then she will fall off the swing.

• Sally goes to the park.
• Sally will fall off the swing.
• Parks don't have swings that Sally goes to.
• If Sally falls off the swing, she goes to the park.

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  $90\degree$  

What is the if-then-form of the following statement? "It is time for dinner if it is 6 pm."

• If it is 6pm, then it is time for dinner.
• If it is time for dinner, then it is 6pm.
• If you want to eat dinner, then you must eat at 6pm.
• None of these are right

Write the statement below as a conditional statement.

Vertical Angles are congruent

• Two angles are vertical if and only if they are congruent.

• If two angles are congruent, then they are Vertical.

• If two angles are Vertical, then they are congruent.

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

• I have a dog.
• I have a Siberian Husky.

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

• I have a dog.
• I have a Siberian Husky.

If it is a triangle, then it has three sides. What is the conclusion?

• It is a triangle
• It has three sides
• It is a polygon
• It sums to 180

Identify the conclusion to the following:
If Spencer wins his soccer game, then he will be happy.

• Spencer is happy
• Spencer is not happy
• Spencer lost his game.
• Spencer is not happy if he does not win his soccer game.

Identify the hypothesis and conclusion:

If  $3x-7=32$  , then  $x=13.$ 

• Hypothesis:  $3x-7=32$  
  Conclusion: $x=13$  

• Hypothesis: $x=13$  
  Conclusion:  $3x-7=32$