Download HW #4—Geometry Review for Test #3 Name

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts
no text concepts found
Transcript
HW #4—Geometry Review for Test #3
KEY
Name:_____________________________
Period:_____
Define & give an example and/or a picture of each of the following; make a notecard/flashcard for each.
**USE YOUR BOOK FOR DEFINITIONS**
1. Complementary Angles
12. Def. of Midpoint
2. Supplementary Angles
13. Segment Addition Postulate
3. Vertical Angles
14. Distributive Property
4. Adjacent Angles
15. Parallel Lines
5. Linear Pair Theorem
16. Skew Lines
6. Angle Addition Postulate
17. Transversal
7. Obtuse angle
18. CBT – Cut by Transversal
8. Right angle
19. Perpendicular Lines
9. Acute angle
20. Corresponding Angles
10. Straight angle
21. Alternate Interior Angles
11. Def. of Angle Bisector
22. Same-side Interior Angles
Solve:
23. 5x + 3(2x – 4) = 2(4 + 3x) – 6
24.
X = 14/5 or 2.8
4(x + 6 ) = 2(2x – 10)
NO SOLUTION
Solve each system of equations; write your answer as an ordered pair.
25.
3 x – 2 y = 12
3 x – y = 18
26.
5 x + 2 y = 13
3 x – 4 y = 26
(8, 6)
(4, -3.5)
For 27-30 write the key theorem, write an equation and solve for x, and find all indicated angles.
27. Solve for x and find m<1, m< 3, and m<4
m<1 = 12x + 4
m<2 = 148
VERTICAL ANGLES THM.
X = 12
2
32o
3
4
1
148o
32o
SHOW ALL WORK OR NO CREDIT!
28. Solve for x and find m<1 and m<2;
m<1 = 4(2x + 6)
m<2 = 3x + 39
and
a // b
CORRESPONDING ANGLES POST.
X=3
48o
1
a
48o
2
b
SHOW ALL WORK OR NO CREDIT!
29. Solve for x and find m<1 and m<2; a // b
m<1 = 5(3x + 2)
m<2 = 10(2x – 4)
a
ALTERNATE INTERIOR ANGLES THM.
X = 10
b
1
160o
SHOW ALL WORK OR NO CREDIT!
160o
2
30. Solve for x and find m<1 and m<2; a // b
m<1 = 4(x + 3) + 6
m<2 = 6(x + 2)
SHOW ALL WORK OR NO CREDIT!
SAME SIDE INTERIOR ANGLES THM.
X = 15
a
102o
2
78o
1
b
You MUST also do these pages from your textbook—Show all work or no credit, and check the answers in
the back of the book!
Book pages: 202-204 problems (1-3 and 6-23)
1. Alternate interior angles
2. Skew Lines
3. Transversal
4.
5.
6. DE and BC are skew (possible answer)
7. AB || DE
8. 𝑨𝑫 ⊥ 𝑫𝑬
9. Plane ABC || plan DEF
10. Transversal: l; alt. int. angles
11. Transversal: n; corresponding angles
12. Transversal: l; same-side interior angles
13. Transversal: m; alt. ext. angles
14. 90o
15. 100o
16. 79o
17. 76o
18. c || d by the Conv. of alt. int. angles thm.
19. m<1 = 107o and m<5 = 107o, so ∠𝟏 ≅ ∠𝟓, c || d by the conv. of corr. Angles post.
20. m<6 = 66o, m<3 = 114o, 66 + 114 =180, so <6 and <4 are supplementary. c || d by the conv. of
same side int. angles thm.
21. m<1 = 99o and m<7 = 99o, so ∠𝟏 ≅ ∠𝟕… c || d by the conv. of the alt. ext. angles thm.
22. KM
23. x – 5 < 8; x < 13
Related documents