Q1 Benchmark Review G.1

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. 

What does this mean?

• Conditional Statement
• Inverse Statement
• Converse Statement
• Contrapositive Statement

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

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

• 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.HSG.CO.C.9

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.HSS.CP.A.1

What is the inverse?
If Jason does not go out to dinner, then he will come to the volleyball game.

• If Jason goes out to dinner, then he will not come to the volleyball game.
• If Jason comes to the volleyball game, then he will not go out to dinner.
• If Jason comes to the volleyball game, then he will go out to dinner.
• If Jason does not go out to dinner, then he will not come to the volleyball game.

Tags

CCSS.HSF.BF.B.4

Use the law of syllogism to 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

Use the Law of Detachment to 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

If possible, use the Law of Detachment to 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 

Which law of deductive reasoning is being used, if any?
If a triangle is equilateral, then all three sides are congruent. 
If all the sides of a triangle are congruent, then the angles opposite them are congruent. 
Therefore, if a triangle is equilateral, then the angles opposite the sides are congruent.

• Law of Detachment
• Law of Syllogism
• Law of the Contrapositive
• Not valid