Extra Practice: Chapter 2 Mid-Chapter Test Example 7

Draw a conclusion from the two given statements:

Statement 1: If you exercise regularly, then you have a healthy body

Statement 2: If you have a healthy body, then you have more energy

• You have more energy

• If you exercise regularly, then you have more energy

• No Valid Conclusion

• If you do not have a healthy body, then you do not exercise regularly

If the sun is shining it is a beautiful day. If it is a beautiful day then we will go go hiking.

• If the sun is not shining, we will not go hiking.

• If the sun is shining then we will go hiking.

• No conclusion can be made.

• If we go hiking, then it is a beautiful day.

If you go to the swimming pool, then you will enjoy yourself. If you enjoy yourself, you will want to return.

• If you return to the pool you will enjoy yourself.

• If you enjoy yourself, then you went to the pool.

• If you go to the pool, you will want to return.

• No conclusion can be made.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Which of the following completes the statement to form a valid conclusion?

If it is snowing heavily, then school will be canceled.

If school is canceled, the big test will not be given today.

It is snowing heavily, then...

• Look out for the snowplows while driving to school.

• The big test will not be given today.

• The roads will be hard to drive on.

• You should call the school to see if school is canceled.

Which is a valid conclusion from these statements?
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.

• Opposite angles of a quadrilateral are congruent
• Opposite angles of a rhombus are congruent
• Every quadrilateral is a rhombus
• Every parallelogram is a rhombus

Tags

CCSS.HSG.CO.C.11

Make a conclusion.

If a number is divisible by 10, then it is divisible by 2. If a number is divisible by 2, then it is even.

• If a number is divisible by 10, then it is even,

• If a number is even, then it is divisible by 10.

• If a number is divisible by 2, then it is even.

• If a number is even, then it is divisible by 2.

Make a conclusion.

If the perimeter of a square is 20 ft, then the length of a side is 5 ft.

If the length of a side of a square is 5 ft, then the area is 25 ft².

• If the side of a square is 5 ft, then the perimeter is 20 ft.

• If the perimeter of a square is 20 ft, then the area is 25 ft²

• If the area of a square is 25 ft², then the side length is 5 ft.

• If the are of a square is 25 ft², then the perimeter is 20 ft.

Write the if-then statement that follows from the pair of true statements. If Todd goes to the movies, then Sarah will go to the movies.  If Chris goes to the movies, then Todd will go to the movies.

• If Chris goes to the movies, then Sarah will go to the movies.
• If Todd goes to the movies, then Chris will go to the movies.
• If Sarah goes to the movies, then Chris will go to the movies.
• If Chris goes to the movies, then Todd will go to the movies.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Draw a conclusion from the two given statements:

Statement 1: If you go to work, then you will earn money.

Statement 2: If you earn money, then you can afford to buy things.

• I can afford to buy things.

• If you go to work, then you can afford to buy things.

• I do not go to work.

• If you can afford to buy things, then you go to work.

Draw a conclusion from the two given statements. If not possible, write NVC.

Conditional: If I study for one hour each day, then I will score well on the exam.

Given: I will scored well on the exam.

• I studied for 1 hour each day.

• I do not study for 1 hour each day.

• If I did well on the exam, I studied for 1 hour each day.

• NVC