Logic

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. 

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. 

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

• If I have a Siberian Husky.
• I have a Siberian Husky.
• Then I have a dog.
• I have a dog.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.
• If angles are not congruent, then the measures of the angles are not equal.
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.8.G.A.2

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

• Inductive

• Deductive

Tags

CCSS.4.OA.C.5

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

• Inductive

• Deductive

Draw a conclusion from the two given statements:

Statement 1: If you exercise regularly, then you have a healthy body

Statement 2: If you have a healthy body, then you have more energy

• You have more energy

• If you exercise regularly, then you have more energy

• You have a healthy body

• If you do not have a healthy body, then you do not exercise regularly

Draw a conclusion from the two given statements. If not possible, write not possible.

Statement 1: If I study for one hour each day, then I will score well on the exam

Statement 2: I will score well on the exam

• I study for 1 hour each day.

• I do not study for 1 hour each day

• If I do well on the exam, I studied for 1 hour each day.

• not possible

Draw a conclusion from the two given statements. If not possible, write not possible.

Statement 1: If x = 2, then 2x – 10 = –6.

Statement 2: x = 2

• 2x – 10 = –6

• x = 2

• If 2x – 10 = –6, then x = 2

• not possible

What is the converse?
If we are at the park, then we will swing.

• If we are not at the park, then we will not swing.
• If we will not swing, then we are at the park.
• If we are at the park, then we will  not swing.
• If we will swing, then we are at the park.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A