If possible, use the Law of Detachment to make a conclusion. If it is not possible to make a conclusion, tell why.

If a triangle is a right triangle, then the triangle has one 90 degree angle. △ABC is a right triangle.

• No valid conclusion can be drawn

• △ABC is a right triangle

• △ABC has no right angles

• △ABC has one right angle

If possible, use the Law of Detachment to make a conclusion. If it is not possible to make a conclusion, tell why.

If x > 7, then |x| > 7

x < 7

• |x| > 7

• |x| < 7

• |x| = 7

• No valid conclusion can be drawn

If possible, use the Law of Syllogism to make a conclusion. If it is not possible to make a conclusion, tell why.

If you like to snow ski, then you will like Colorado.

If you like to wakeboard, then you will like Florida.

• If you like Colorado, then you will like Florida

• If you like to wakeboard, then you will like Florida

• No valid conclusion can be drawn

• If you like to snow ski, then you will like Florida

If possible, use the Law of Syllogism to make a conclusion. If it is not possible

to make a conclusion, tell why.

To take Calculus, you must first take Algebra 2.

To take Algebra 2, you must first take Algebra 1.

• To take Calculus, you must first take Algebra 2.

• No valid conclusion can be drawn

• To take Calculus, you must first take Geometry.

• To take Calculus, you must first take Algebra 1.

Use the Law of Detachment and the Law of Syllogism to make conclusions from

the following statements. If it is not possible to make a conclusion, tell why.

If you live in Fairbanks, then you live in Alaska. If you live in Alaska, then you

live in the largest state in the United States. Alan lives in Fairbanks.

• Alan lives in the largest state in the United States.

• No valid conclusion can be made

• Alan lives in Alaska

• Alaska is the largest state in the United States

Use the Law of Detachment and the Law of Syllogism to make conclusions from

the following statements. If it is not possible to make a conclusion, tell why.

If it is summer, the days will be warm. If people are swimming, the days are

warm. If the air conditioning is turned on inside, then it is warm outside.

• It is summer

• No valid conclusion can be made

• The air conditioning is on

• It is warm outside

Use the Law of Detachment and the Law of Syllogism to make conclusions from

the following statements. If it is not possible to make a conclusion, tell why.

During the school week, if it does not rain, the soccer team will have practice.

If the soccer team has practice, the team members will warm up by jogging

two miles. It does not rain on Wednesday.

• The soccer team will have practice on Wednesday.

• No valid conclusion can be made

• The soccer team will warm up by jogging two miles.

• The team will not have practice

Fill in the reason that justifies the step.

• Distributive Property

• Subtraction Property of =

• Division Property of =

• Addition Property of =

Tags

CCSS.HSG.CO.C.9

Fill in the reason that justifies the step.

• Distributive Property

• Subtraction Property of =

• Division Property of =

• Addition Property of =

Fill in the reason that justifies the step.

• Distributive Property

• Subtraction Property of =

• Division Property of =

• Addition Property of =

Tags

CCSS.HSG.CO.C.9