Chapter 1 to 3

Zita
Name ___________________________________
Period _____________
REVIEW SHEET
Fall Final Exam
Chapters 1 and 3
Chapter 1 - Multiple Choice
1.
If mRMK = 5x + 8, mKMT = 3x  5, and mTML = 6x + 17, then x = _____?
A. 10
B. 4
C. 5
1. ______
D. 12
M
L
2.
T
R
K
If mQMJ = 2x + 15 and mJML = 4x  3, then x = _____?
A. 17
B. 15
C. 16
2. ______
D. 13
Q
J
M
3.
A. always
4.
B. sometimes
C. never
B. sometimes
4. ______
C. never
Y is between X and Z. If XY = 28 and YZ = 8, then XZ = ______?
A. 20
6.
3. ______
Linear Pairs are __________ supplementary.
A. always
5.
L
Vertical angles are __________ congruent.
B. 18
C. 14
5. ______
D. 36
K is between L and N. If LK = 36 and KN = 10, then LN = ______?
A. 46
B. 23
C. 26
6. ______
D. 18
Midpoint Formula *MEMORIZE*
 x1  x 2   y1  y 2 

 ,

2
2

 

7.
Segment AB has endpoints at (2,6) and (10,0). Its midpoint, M, is ______?
A. (12,6)
8.
B. (8,10)
C. (6,3)
7. ______
D. (3,6)
Segment XY has endpoints at (-8,2) and (4,-6). Its midpoint, M, is ______?
A. (-2,-2)
Geometry
B. (2,2)
C. (-4,-4)
1
8. ______
D. (-12,8)
Review Sheet - Fall Final Exam
Chapters 1 and 3
9.
XM bisects AXB. If mAXM = 2x + 7 and mMXB = 4x - 5, find mAXB.
A. 38°
B. 24°
D. 6°
M
A
X
10.
C. 19°
9. ______
B
XM bisects AXB. If mAXB = 14x - 24 and mMXB = 3x - 4, find mAXB.
A. 2°
B. 8°
C. 4°
10. ______
D. 16°
M
A
X
B
Distance Formula *MEMORIZE*
d
 x2
 x 1    y 2  y1 
2
2
11. Use the distance formula to find the distance between (1,2) and (6,14).
A. 13
B. 12
C. 9
11. ______
D. 10
12. Use the distance formula to find the distance between (0,1) and (3,5).
A. 6
B. 5
C. 25
12. ______
D. 4
Choose a word from the word bank below that best completes the sentence. Place the corresponding letter in
the blank at the right of each sentence.
A. Angle Bisector
D. Vertex
B. Collinear
E. Vertical Angles
C. Supplementary
F. Non-collinear
13. These types of points lie on the same line.
13. ______
14. These are non-adjacent angles formed by intersecting lines.
14. ______
15. These are angles that have a sum of 180°.
15. ______
16. This divides an angle into two congruent angles.
16. ______
17. This is the common endpoint of an angle.
17. ______
18. These types of points do not lie on the same line.
18. ______
Chapter 3 - Multiple Choice
19. Which angle is congruent to 1?
A. 2
19. ______
B. 3
a ll b
C. 4
a
b
1
3
Geometry
D. 5
4
2
5
2
Review Sheet - Fall Final Exam
Chapters 1 and 3
20. Which angle is supplementary to 1?
A. 2
20. ______
B. 3
a
C. 4
D. 5
b
a ll b
1
5 4
2
3
21. Which angle forms a linear pair with 4?
A. 1
B. 2
a
a ll b
21. ______
C. 3
b
1
3
2
D. 5
4
5
22. Which angle is congruent to 2?
A. 1
B. 3
a
a ll b
1
2
22. ______
C. 4
b
D. 5
5
3
4
23. What angle is supplementary to 5?
A. 1
23. ______
B. 2
c
a
C. 3
D. 4
d
1
2
a ll b
c ll d
3
5
4
b
24. Which equation would you use to find “x”?
24. ______
A. 2x + 4 = 4x - 16
B. 2x + 4 + 4x - 16 = 180
C. 2x + 4 + 4x - 16 = 90
D. not enough information
a
a ll b
b
(2x + 4)°
(4x - 16)°
25. Find the value of “x”.
A. x = 90
25. ______
B. x = 2
C. x = 12
D. x = 3
(9x - 18)°
(7x + 6)°
Geometry
3
Review Sheet - Fall Final Exam
Chapters 1 and 3
26. Find the value of “x”.
A. x = 55
(21x + 5)°
26. ______
B. x = 110
C. x = 10
D. x = 5
(10x + 60)°
27. What relationship can be used to prove c ll d?
27. ______
A. vertical angles
C. corresponding angles
B. alternate interior angles
D. alternate exterior angles
107°
c
d
107°
28. What relationship can be used to prove f ll g?
28. ______
A. vertical angles
C. corresponding angles
B. alternate interior angles
D. alternate exterior angles
f
70°
70°
g
29. What relationship can be used to prove f ll g?
29. ______
A. vertical angles
C. corresponding angles
B. alternate interior angles
D. alternate exterior angles
f
115°
g
115°
30. What relationship can be used to prove a ll b?
30. ______
A. corresponding angles
B. alternate interior angles
C. consecutive angles
D. not here
a
116°
64°
b
31. What is the m1?
A. 54°
31. ______
B. 180°
C. 126°
126°
D. 90°
a
a ll b
1
54°
Geometry
4
b
Review Sheet - Fall Final Exam
Chapters 1 and 3
32. What is the measure of 1?
A. 12
32. ______
B. 150
C. 30
D. 180
(13x - 6)°
1
(10x + 30)°
33. What relationship can be used to prove c ll d?
33. ______
A. alternate exterior angles
B. alternate interior angles
C. vertical angles
D. corresponding angles
d
60
c
60
34. What is the measure of 1?
A. 180°
34. ______
B. 130°
C. 50°
(4x + 14)°
1
D. 9°
(15x - 5)°
Chapter 1 - Short Answer
35. Points M, N, and O are collinear. Which point is between the other two?
NO = 16
NM = 11
MO = 5
36. Points P, Q, and R are collinear. Which point is between the other two?
PQ = 13
RQ = 4
36. __________
PR = 9
37. If m3 = (2x - 10)° and m4 = (3x + 40)°, then x = ____.
3
35. __________
37. x = __________
4
38. Find the mABE and mCBD.
A
38. mABE = __________
C
B
(x
+
34)°
(5x + 10)°
mCBD = __________
D
E
39. Find the m1 and m2.
39. m1 = __________
m1 = (4x + 2)°
1
m2 = (2x + 10)°
2
Geometry
m2 = __________
5
Review Sheet - Fall Final Exam
Chapters 1 and 3
Chapter 3 - Short Answer
Use the figure below for numbers 55-62. Find the measures of the indicated angles.
c
d
1 2
3 4
a
c ll d
a ll b
9 10
11 12
m11 =
110°
40. m1 = __________
41. m3 = __________
42. m4 = __________
43. m6 = __________
44. m8 = __________
b
5 6
7 8
13 14
15 16
45. m10 = __________
46. m13 = __________
47. m16 = __________
48. Find the values of “x” and “y”.
48. x = __________
y = __________
(5y + 5)°
(3x - 20)°
(2x + 20)°
(8y - 10)°
Geometry
6
Review Sheet - Fall Final Exam
Chapters 1 and 3