We spent some time reviewing key concepts together from chapter 2 as well as going over a couple more proofs. The students then had time to work on their test review sheets in preparation for tomorrow's test.
Assignment: Chapter 2 review sheet
Chapter 2 Review Sheet Answers
Deductive Reasoning
1. a. they are right angles b. vertical angles are supplementary
c. If vertical angles are supplementary, then they are right angles.
2. 90
3. 22
4. 53
5. DFE
6. angle bisector theorem
7. midpoint theorem
8. multiplication property of equality
9. If 2 lines form congruent adjacent angles, then lines are perpendicular
10. If exterior sides of 2 adjacent angles are perpendicular, then the angles are complementary
11. 1. given
2. vertical angles congruent
3. transitive / substitution
Special Pairs of Angles
1. 54, 144 2. 85, 175
3. 20, 110 4. 61, 151
5. 40.8, 130.8 6. none, 12
7. 79, 169 8. 90 - 2x, 180 - 2x
9. angle VIE
10. angle RIN
11. angle RIV, RIE, or RIN
12. 48
13. 90
14. 40
15. 100
16. 60
17. 30
18. 50
19. 130
20. 120
21. x = 44
22. x = 23
23. x = 24, 72, 18
24. x = 29, 39, 51
25. y = 26, 127, 53
26. y = 35, 26, 154
Perpendicular Lines; Planning a Proof
1. 90
2. 90
3. 35
4. 48
5. If 2 lines are perpendicular, then they form congruent adjacent angles.
6. def. of perpendicular lines
7. def. of complementary angles
8. def. of supplementary angles
9. def. of perpendicular lines
10. def. of right angle
11. If two lines form congruent adjacent angles, then the lines are perpendicular
12. 1. Given
2. If the exterior sides of 2 adjacent angles are perpendicular, then the angles are comp.
3. angle 1 congruent to angle 4
4. If two angles are complements of congruent angles, then the two angles are congruent.
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