Chapter 4 Test Review Answer Sheet



Geometry Chapter 2 Review Answers

1. Some

2. All

3. No

4. If it is a bird, then it has wings.

5. If you are a resident of North Carolina, then you like southern barbeque.

6. If the measure of an angle is 90°, then the angle is a right angle.[pic]

True / Biconditional

The angle is a right angle if and only if its measure is 90°.

7. If the angle is not a right angle, then the measure is not 90°.

8. there is school

9. If there is no school, then today is Saturday.

10. False / Counterexample: It could be Columbus Day.

11. If I don’t have to pay for it myself, then I don’t go to an out-of-state school.

12. If I pay for it myself, then I go to an out of state school.

13. If I don’t go to an out of state school, then I don’t have to pay for it myself.

14. Two coplanar lines are parallel if and only if they don’t intersect.

15. Invalid: eyes could be damaged some other way

16. Valid: Law of Detachment

17. Invalid: could be embarrassed for other reasons

18. Valid: Law of Syllogism

19. You don’t live on Augusta & attend a private high school. (contrapositive)

20. None: could be grounded for some other reason

21. If DHS football team keeps winning, then Dr. Brewer will throw the team a victory party. (Law of syllogism)

22. There is a rainbow in the sky. (Law of Detachment)

23. None (might not be an athlete)

24) If a young woman is an athlete, then she will probably do well in Geometry. (Law of syllogism)

25). He did not write a paper about the Binomial Theorem. (Contrapositive)

26). None

27). Statements Reasons

1. 14 – 2(x + 4) = 5(x – 6) + 2x 1. Given

2. 14 – 2x – 8 = 5x – 30 + 2x 2. Distributive

3. 6 – 2x = 7x – 30 3. Simplify

4. 6 = 9x – 30 4. APE

5. 36 = 9x 5. APE

6. 4 = x 6. DPE

7. x = 4 7. Symmetric

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