2.1 Practice A

Identify the Hypothesis and Conclusion of the following Conditional statement:

If you like the ocean, then you are a good swimmer.

• H: you like the ocean

  C: you are a good swimmer

• H: you are a good swimmer

  C: you like the ocean

Identify the Hypothesis and Conclusion of the following Conditional statement:

If it is raining outside, then it is cold.

• H: It is cold

  C: It is raining outside

• H: It is raining outside

  C: It is cold

Rewrite the following conditional statement in if-then form:

All children must attend school.

• If it is a school, then children must attend

• If you are a child, then you must attend school

• If you must attend school, then you are a child

• If children must attend, then it is a school

Rewrite the following conditional statement in if-then form:

Congruent angles have equal angle measures.

(Select all that apply)

• If angles are congruent, then they have equal measure

• If angles have equal measure, then they are congruent

• If there are two angles, then they are congruent

• If there are equal measures, then they are congruent angles

Let p be “an animal is a puppy” and let q be “it is a dog.” Write the conditional statement in words. Then decide whether it is true or false.

• If an animal is a dog, then it is a puppy; True

• If an animal is a puppy, then it is a dog; True

• If an animal is a dog, then it is a puppy; False

• If an animal is a puppy, then it is a dog; False

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Let p be “an animal is a puppy” and let q be “it is a dog.” Write the converse in words. Then decide whether it is true or false.

• If an animal is a dog, then it is a puppy; True

• If an animal is a puppy, then it is a dog; True

• If an animal is a dog, then it is a puppy; False

• If an animal is a puppy, then it is a dog; False

Let p be “an animal is a puppy” and let q be “it is a dog.” Write the inverse in words. Then decide whether it is true or false.

• If an animal is not a dog, then it is not a puppy; True

• If an animal is not a puppy, then it is not a dog; True

• If an animal is not a dog, then it is not a puppy; False

• If an animal is not a puppy, then it is not a dog; False

Tags

CCSS.HSS.CP.A.1

Let p be “an animal is a puppy” and let q be “it is a dog.” Write the contrapositive in words. Then decide whether it is true or false.

• If an animal is not a dog, then it is not a puppy; True

• If an animal is not a puppy, then it is not a dog; True

• If an animal is not a dog, then it is not a puppy; False

• If an animal is not a puppy, then it is not a dog; False

Decide whether the statement about the diagram is true or false

• True

• False

Tags

CCSS.4.G.A.2

CCSS.4.MD.C.5

CCSS.4.MD.C.7

Decide whether the statement about the diagram is true or false

• True

• False

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8