The questions on this page are similar to ones you will see on this lesson's quiz. Answer all of these questions, and read the feedback carefully. If you don't understand why one of your answers was incorrect, review that part of this lesson.
What is the purpose of a Venn diagram?
- to show how one event leads to another
- to show what characteristics belong to a group
- to show how groups of items are alike and different
- to show how ideas fit together to form a whole
A Venn diagram can help you find out what features or characteristics are shared and not shared by groups of items.
A Venn diagram can help you find out what features or characteristics are shared and not shared by groups of items.
A Venn diagram can help you find out what features or characteristics are shared and not shared by groups of items.
A Venn diagram can help you find out what features or characteristics are shared and not shared by groups of items.
What is the difference between a conjecture and a proof?
- Conjectures and proofs are the same thing.
- Conjectures can only be verified with logical reasoning.
- Conjectures might be true, while a proof is always true.
- Proofs can only be verified with examples.
Conjectures might be true, but a proof has been shown to be true always, using logical reasoning.
Conjectures might be true, but a proof has been shown to be true always, using logical reasoning.
Conjectures might be true, but a proof has been shown to be true always, using logical reasoning.
Conjectures might be true, but a proof has been shown to be true always, using logical reasoning.
How could you prove this conjecture: The sum of two even numbers is always even?
- Show 10 examples that two even numbers that add up to an even number.
- Create a Venn diagram consisting of even and odd numbers.
- Show that two values representing all even numbers add up to an even number.
- Show that an even number can be divided in half evenly.
Proofs rely on general logical statements that show a statement is always true.
Proofs rely on general logical statements that show a statement is always true.
Proofs rely on general logical statements that show a statement is always true.
Proofs rely on general logical statements that show a statement is always true.
The Venn diagram below is based on a survey of pet owners in an apartment complex. Everette claims that more people own pets than don't. Does the Venn diagram support Everette's claim?
- No, there are fewer pet owners than people without pets
- There is not enough information in the diagram.
- Yes, there are more pet owners than people without pets.
- No, there are exactly as many pet owners as people without pets.
Each number represents how many pet owners there are for each kind and combination of pets. The number of pet owners needs to be above the number of non-pet owners.
Each number represents how many pet owners there are for each kind and combination of pets. The number of pet owners needs to be above the number of non-pet owners.
Each number represents how many pet owners there are for each kind and combination of pets. The number of pet owners needs to be above the number of non-pet owners.
Each number represents how many pet owners there are for each kind and combination of pets. The number of pet owners needs to be above the number of non-pet owners.
Katelyn makes a conjecture that there are more cat owners than dog owners. Does the Venn diagram support Katelyn's claim?
- No, there are more cat owners than dog owners.
- Create a Venn diagram consisting of even and odd numbers.
- No, there are as many cat owners as there are dog owners.
- There is not enough information in the diagram
There are as many cat owners as there are dog owners, if you remember to count the pet owners who own more than one kind of pet.
There are as many cat owners as there are dog owners, if you remember to count the pet owners who own more than one kind of pet.
There are as many cat owners as there are dog owners, if you remember to count the pet owners who own more than one kind of pet.
There are as many cat owners as there are dog owners, if you remember to count the pet owners who own more than one kind of pet.
Which of the following is not a claim that can be supported using the pet owners' Venn diagram?
- More people own at least two kinds of pets than own just cats.
- Seventy people were interviewed for this survey.
- More people own just fish than own just cat or just dogs.
- More people own fish and at least one other pet than people who own just dogs.
There are 14 people who own just cats or just dogs, but there are only 12 people who own just fish.
There are 14 people who own just cats or just dogs, but there are only 12 people who own just fish.
There are 14 people who own just cats or just dogs, but there are only 12 people who own just fish.
There are 14 people who own just cats or just dogs, but there are only 12 people who own just fish.
Summary
Questions answered correctly:
Questions answered incorrectly:
