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- 1. Multiple ChoiceUsing the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.It is not FridayIt is FridayI will not get paidI will get paid - 2. Multiple ChoiceUsing the Law of Syllogism, 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. - 3. Multiple ChoiceWhich 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 congruentOpposite angles of a rhombus are congruentEvery quadrilateral is a rhombusEvery parallelogram is a rhombus - 4. Multiple ChoiceWhich statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.Therefore, the polygon is a rectangle.Therefore, the polygon is a regular quadrilateral.Therefore, the polygon has exactly five congruent angles.Therefore, the polygon has congruent sides. - 5. Multiple Choice(1) If you drive safely, then the life you save may be your own.
(2) AJ drives safely.
(3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?Law of DetachmentLaw of SyllogismLaw of Contrapositiveinvalid - 6. Multiple Choice(1) If a figure is a square, then it is a polygon.
(2) Figure A is a polygon.
(3) ???????
What belongs in line 3?Figure A is a polygon.Figure A is a circle.Figure A is a square.invalid; nothing belongs in line 3 - 7. Multiple Choicep→q
q→r
∴p→r
Which law is modeled?Law of SyllogismLaw of DetachmentLaw of ContrapositiveLaw of Shannon - 8. Multiple Choicep→q
p
∴q
Which law is modeled?Law of SyllogismLaw of DetachmentLaw of ContrapositiveLaw of Shannon - 9. Multiple ChoiceIf an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?∠A is complementary to ∠B∠A is acute.∠A is obtuse.∠A is 40⁰ - 10. Multiple ChoiceUse Law of Syllogism to 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. - 11. Multiple ChoiceUsing the Law of Detachment, what can you conclude?
If x has a value of 4, then 2x has a value of 8.
The value of x is 4.x = 4no conclusion can be made2x does not have a value of 82x has a value of 8 - 12. Multiple ChoiceUse Law of Syllogism to 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 ft2If 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. - 13. Multiple ChoiceWrite the if-then statement that follows from the pair of true statements. If the sun is shining, then it is a beautiful day. If it is a beautiful day, then we will have a picnic.If the sun is shining, then it is a beautiful day.If it is a beautiful day, then the sun is shining.If the sun is shining, then we will go on a picnic.If we go on a picnic, then the sun is shining.
- 14. Multiple ChoiceWrite 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.
- 15. Multiple ChoiceWhat can be concluded from the following statements?
If Tom goes fishing then he brings a pole.
If Tom brings his pole then he catches a fish.If Tom goes fishing then he catches a fish.If Tom brings his pole then he goes fishingIf Tom catches a fish then he brought his pole.If Tom brings his pole then he catches a fish. - 16. Multiple ChoiceWhich of the following statements is valid based on the given scenario?
If Jason plays basketball, then Steve sits on the bench.
If Steve sits on the bench, then Ronald starts at center.If Steve sits on the bench then Jason plays basketball.If Ronald starts at center then Jason plays basketball.If Steve sits the bench then Ronald does not start at center.If Jason plays basketball then Ronald starts at center. - 17. Multiple ChoiceBy the Law of Detachment, what can you conclude from the statement?
If two planes intersect, then their intersection is a line.
Planes S and T intersect.their intersection is a linetheir intersection is a pointno conclusion can be madethe planes are parallel - 18. Multiple ChoiceDetermine if the conjecture is valid by the Law of Syllogism.
Given: If you are in California, then you are in the west coast. If you are Los Angeles, then you are in California.
Conjecture: If you are in Los Angeles, then you are in the west coast.No, the conjecture is not valid.Yes, the conjecture is valid. - 19. Multiple ChoiceWhat is the converse of the statement:
If an animal is a dog, then it does not moo.If an animal is not a dog, then it does mooIf an animal can moo, then it is not a dogIf an animal does not moo, then it is a dogAn animal is a dog if and only if it can moo - 20. Multiple Choice
Answer these questions by figuring out which of the four figures belongs on the spot of the question mark.
Latin Square Rules
1. A row or column never contains the same figure/number twice.
2. Every row and column contain the same figures/numbers.abcd - Answer choicesTagsAnswer choicesTags