Geometry Venn Diagrams

Venn-diagrams and Complement of a set.

​Lesson Objectives

• ​Represent any two or three sets in a Venn diagram by placing the members in the appropriate regions

• ​describe and list members that belong to a complement of a given set

​Venn Diagram

​Watch the video(s) on the proceeding slides about a Venn diagram and how to complete a Venn diagram given any two sets.

​Make notes in your notebook for reference as you respond to the quiz.

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Multiple Choice

Which of these is something both whales and fish have in common?

• live birth

• lay eggs

• have fins

• have hair

Multiple Choice

How many senior boys play football and wrestle?

• 9

• 12

• 18

• 39

Multiple Choice

How many students took the survey?

• 32

• 47

• 53

• 56

Multiple Choice

How many people own cats?

• 3

• 4

• 6

• 7

• 10

Multiple Choice

Raawi asks his classmates if they have brown hair or wear glasses. B = {students with brown hair} and G = {students with glasses}. His results are shown in the Venn diagram. How many students have brown hair?

• 13

• 16

• 20

• 22

Multiple Choice

Which option shows the correct members of the universal set?

• $$ξ=\left\{a,b,d\right\}$$

• $$ξ=\left\{c,e,f\right\}$$

• $$ξ=\left\{a,b,c,d,e,f\right\}$$

Multiple Choice

Which of the following statements are true for the Venn diagram shown?

• A is a subset of B

• B is a subset of A

• A = B

• A and B are disjoint sets

• B is a superset of A

Multiple Choice

Which of the following statements are true for the Venn diagram shown?

• Overlapping sets

• Subsets

• Disjoint sets

• Equal sets

Multiple Choice

For the given sets A and B, which statement is true?

• A ⊂ B

• B ⊂ A

• A = B

• A^' = B

Multiple Choice

List the elements of B

• {4,5,6,7,8,9,10,11}

• {4,6,7,8}

• {9,5,10,11}

• {4,5,6,7,8,9,10}

Complement of a set

​Watch the video(s) on the proceeding slides about the complement of a set.

​

​Make notes in your notebook for reference as you respond to the quiz.

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Multiple Choice

The complement of set A is written as?

• A'

• A

• A''

• A!

Multiple Choice

If Set $$\xi$$  ={ x : 1 $$\le$$  x $$<$$  10 } Set A={even numbers} Find set A'

• {2,4,6,8}

• {1,3,5,7,9}

• {2,4,6,8,10}

• {1,2,3,4,5,6,7,8,9}

Multiple Choice

The shaded region represents ____________

• subset

• element

• complement

• intersection

Multiple Choice

The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}. What is the complement of A?

• {-4, -3, -2, -1, 0, 1, 2, 3}

• {-3, -2, -1, 1, 2, 3}

• {-4, -3, -2, -1, 1, 2, 3, 4}

• {-4, -3, -2, -1, 1, 2, 3}

Multiple Choice

If U = {11, 12, 13, 14, 15, 16, 17, 18, 19, 20} and A = {12, 13, 14, 20}, what is the complement of A?

• {11, 15, 16, 17, 18, 19}

• {11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

• {12, 13, 14, 20}

• {15, 16, 17, 18, 19}

The End​