Biconditional Statements.

Identify the hypothesis and conclusion:

If  $3x-7=32$  , then  $x=13.$ 

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

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

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.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the biconditional statement of the following conditional statement?
“If Shelly lives in Texas, then she lives in the United States.”

• If Shelly lives in Texas, then she lives in the United States.
• If Shelly lives in the United States, then she lives in Texas.
• Shelly lives in Texas if and only if she lives in the United States.
• If Shelly does not live in Texas, then she does not live in the United States.

Which of the following is a biconditional statement?

• If you do not vote, then you are not at least 18 years old.
• You can vote if and only if you are 18 years old.
• If you are 18 years old, then you can vote.

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

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

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

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

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

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

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

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

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

• If the angles are congruent.
• The angles are congruent.
• Then the measures of the angles are equal.
• The measures of the angles are equal.

Tags

CCSS.7.G.B.5