Geometry: Law of Syllogism and Detachment Practice



Geometry: Law of Syllogism and Detachment Practice Name ____________________ A#____

Use the Law of Detachment to draw a conclusion. If not possible, write not possible.

(1) If a student gets an A on a final exam, then they student will pass the course. Felicia gets an A on the music theory final exam.

(2) If two figures are congruent, then their areas are equal. The area of ABCD equals the area of PQRS.

(3) If a student wants to go to college, then the student must study hard. Rashid wants to go to the University of North Carolina.

(4) If two lines are parallel, then they do not intersect. Line m is parallel to line n.

(5) If an angle is obtuse, then it is not acute. Angle XYZ is not obtuse.

Use the Law of Syllogism to draw a conclusion. If not possible, write not possible.

(6) If an animal is a red wolf, then its scientific name is Canis rufus. If an animal is named Canis rufus, then it is endangered.

(7) If a number is prime, then it does not have repeated factors. If a number does not have repeated factors, then it is not a perfect square.

(8) If a number ends in 6, then it is divisible by 2. If a number ends in 4, then it is divisible by 2.

(9) If you vacation at the beach, then you must like the ocean. If you like the ocean, then you will like Florida.

Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the following statement.

(10) If you live in Lubbock, then you live in Texas. Levon lives in Lubbock. If you live in Texas, then you live in the 28th state to enter the Union.

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