Download 2.3 WS: Geometry Practice on Law of Detachment and Law of

2.3 WS: Geometry Practice on Law of Detachment and Law of Syllogism
Assume all of the conditional statements are true. Use the Law of
Detachment or the Law of Syllogism to draw a valid conclusion. A) State the
conclusion and B) State the Law that was used. If you cannot draw a valid
conclusion, write not possible.
1. If you read a good book, then you enjoy yourself.
If you enjoy yourself, then your time is well spent.
2. If an angle is obtuse, then it is not acute.
∠XYZ is not obtuse.
3. If you are studying biology, then you are studying a science.
If you are studying botany, then you are studying biology.
4. If there is lightning, then it is not safe to be out in the open.
Jazmine sees lightning at the soccer field.
5. 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.
6. If two lines are parallel, then they do not intersect.
Line t is parallel to line m.
7. If two planes are not parallel, then they intersect.
If two planes intersect, then they intersect in a line.
8. If a student gets an A on the final exam, then the student will pass the
course.
Taylor gets an A on the music theory final.
9. If two angles are 45⁰, then they are congruent.
∠WYZ and ∠ABC are both 45⁰.
10. If ∠2 is acute, then ∠3 is obtuse.
If ∠3 is obtuse, then ∠4 is acute.
11. If you order the apple pie, then it will be served with ice cream.
Matthew ordered ice cream.
12. If Sherlock Holmes gathers all the clues, then he will be victorious.
Sherlock Holmes gathers all the clues.
13. If Golum is carnivorous, then Golum is dangerous.
Golum is dangerous.
14. If you use Shining Smile toothpaste, then you will be successful.
If you use Shining Smile toothpaste, then you may become a TV star.
15. If you are open-minded, then you will listen to both sides of a story.
If you listen to both sides of a story, then you will make a more
intelligent decision.
16. If two angles are vertical angles, then they are congruent.
∠A and ∠B are not vertical angles.
17. If a person is an athlete, then he/she will score high on spatial
visualization tests.
Levi plays football.
18. If Dan goes shopping, then he will buy a pretzel.
If Dan goes shopping, then he will spend money.
19. If I go to the movies, then I eat popcorn.
If I eat popcorn, then I’ll enjoy the movie.
20. If this wind keeps up, then we will lose some trees.
We lost some trees.
21. If a quadrilateral is a square, then it has four congruent sides.
ABCD is a polygon that has four congruent sides.
22. If a woman is wealthy, then she could buy a mansion.
If a woman could buy a mansion, then she could hire a housekeeper.
23. If a student wants to go to college, then they must study hard.
Alyssa wants to go to OU.
24. If it is a beautiful day, then we will go on a walk.
If it is 80 degrees and sunny, then it is a beautiful day.
25. If two angles are a linear pair, then they are supplementary.
The sum of m∠WYZ and m∠ABC is 180⁰.