Geometry Section 2.1

Geometry 2.1

Conditional statements

Open Ended

Think-Pair-Share

After completing the TPS Write the "chosen" If-Then statement in the space provide.

Hypothesis and Conclusion of a Conditional

• Hypothesis follows the 'if'

• Conclusion follows the 'then'

Which part of the statement is the hypothesis?
the concusion?

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Tell your partner

Multiple Choice

What is the hypothesis of this statement?

If you build it then they will come.

• you build it

• they will come

• they will build it

Multiple Choice

What is the conclusion of this statement?

If 2x = 4 then x = 2.

• 2x = 4

• x = 2

• if x = 2 then 2x = 4

Multiple Choice

What is the hypothesis of this statement?

If an angle is a right angle then the angle measures 90 degrees.

• the angle measures 90 degrees

• an angle is a right angle

• a right angle measures 90 degrees

All hockey players are athletes.

(we will assume this to be true. . . please no arguments)​

How would we use this fact to create an if then statement. (Talk it over)

Given the statement:

Multiple Choice

If someone is a hockey player then they are . . . . . .

• agressive

• an athlete

• a goalie

• a defenseman

​The Venn Diagram

​ A Venn diagram shows the relationships of different sets in a visual way

The variety that is Venn Diagrams

Multiple Choice

Let's use a Venn diagram to represent our statement that All hockey players are athletes.

Given: Jen is a hockey player.

What conclusion can you reach?

• Jen is an athlete

• Jen is not an athlete

• Jen is a coach

• No conclusion

Multiple Choice

Sam is an athlete. What conclusion can you reach?

• Sam is a hockey player

• Sam is not a hockey player

• No conclusion

Multiple Choice

Joey is not a hockey player. What conclusion can you reach?

• Joey is an athlete

• Joey is not an athlete

• No conclusion

Multiple Choice

Eric is not an athlete. What conclusion can you reach?

• Eric is a hockey player

• Eric is not a hockey player

• No conclusion

Multiple Choice

Write a conditional statement based on the following given statement.

All triangles have three sides.

• A triangle is a three sided shape

• If a shape is a triangle then it has three sides.

• If it is a triangle with three sides then it is a shape.

• If the triangle has three sides then it has three angles.

Multiple Choice

$$if\ x\ =\ 4\ then\ x^2\ =\ 16.$$  

• True

• False

Multiple Choice

$$If\ x^2\ =\ 16\ then\ x\ =\ 4.$$  

• True

• False

Multiple Choice

If an angle is not acute then it is obtuse.

• True

• False

Converse: Formed by switching the hypothesis and conclusion.

• Symbolic Form: q→p

Multiple Choice

Write the converse.

If x = 7 then 2x = 14

• x = 7

• 2x = 14

• If 2x = 14 then x = 7

• $$if\ x\ \ne\ 7\ then\ 2x\ \ne\ 14$$  

Open Ended

Write the converse:

If I go then you stay.

Formative Geometry 2.1

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Homework
Practice sheet