Geometry: Quiz 2-2

Which of the following best represents the statement "All cats are mammals" using a Venn diagram?

• Two circles that do not overlap

• A circle labeled "cats" completely inside a larger circle labeled "mammals"

• Two circles that partially overlap

• A circle labeled "mammals" completely inside a larger circle labeled "cats"

Which of the following is an example of the Law of Syllogism?

Which Venn diagram best represents the statement "Some dogs are brown"?

• Two circles that do not overlap

• A circle labeled "dogs" completely inside a larger circle labeled "brown"

• Two circles labeled "dogs" and "brown" that partially overlap

• A circle labeled "brown" completely inside a larger circle labeled "dogs"

Given: If it rains, then the ground gets wet. It is raining. What can you conclude using the Law of Detachment?

• The ground is dry

• The ground gets wet

• It is not raining

• Nothing can be concluded

Which of the following is NOT a valid use of the Law of Syllogism?

Which logical law is being used in the following argument? If a figure is a square, then it is a rectangle. If a figure is a rectangle, then it has four sides. Therefore, if a figure is a square, then it has four sides.

• Law of Detachment

• Law of Syllogism

• Law of Contrapositive

• Law of Excluded Middle

Which Venn diagram best represents the statement "No reptiles are mammals"?

• Two circles that do not overlap

• Two circles that partially overlap

• A circle labeled "reptiles" inside a circle labeled "mammals"

• A circle labeled "mammals" inside a circle labeled "reptiles"

Which of the following statements is an example of the Law of Detachment?