Conditional Statements & Logic

What is this?

• Conditional Statement
• Inverse
• Converse
• THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

Tags

CCSS.HSS.CP.A.1

Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.

Conditional: If x = 2, then 2x – 10 = –6.

Premise: x = 2

• 2x – 10 = –6

• If 2x – 10 = –6, then x = 2

• x = 2

• not possible

Tags

CCSS.HSA.REI.A.1

If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.

Conditional: If there is lightning, then it is not safe to out in the open.

Premise: Mary sees lightning from her home

• It is not safe for the lightening.

• It is not safe for Marty to be out in the open.

• There is lightening.

• No conclusion can be made.

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

• You are at least 25 years old
• You can rent a car
• You can go on a road trip
• Invalid

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.SSE.A.1

If a figure is a rhombus, then the figure is a parallelogram.

If a figure is a parallelogram, then the figure is a quadrilateral.

• If a figure is a rhombus, then the figure is a quadrilateral.

• If a figure is a quadrilateral, then the figure is a rhombus.

• Not possible

Tags

CCSS.HSG.CO.C.11

If a whole number ends in 0, then it is divisible by 10.

If a whole number is divisible by 10, then it is divisible by 5.

• If a whole number is divisible by 10, then it ends in 0.

• If a whole number ends in 0, then it is divisible by 5.

• Not possible

If you are resting, then you will be relaxed.

If your heartbeat is normal, then you are relaxed.

• If you are resting, then your heartbeat is normal.

• If your heartbeat is normal, then you are resting.

• Not possible

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6