Geometry Final Exam
Name ______________________ Date _________
Multiple Choice
1. What is the converse of the following statement? If I break the law, then I go to jail.
A.
B.
C.
D.
If I did not go to jail, then I did not break the law.
If I do not break the law, then I do not go to jail
If I go to jail, then I broke the law.
If I break the law, then I go to jail.
2. < 11 and <12 are _______________ angles.
A.
B.
C.
D.
Corresponding angles
Consecutive interior angles
Alternate interior angles.
Alternate exterior angles.
3. Find the value of x.
A. 45
B. 180
C. 90
D. 360
4. Find the value of y.
A.
B.
C.
D.
180
115
23
575
5. What is the slope of the line parallel to y = 4x - 6?
A.
B.
C.
D.
-6
4
-1/4
-1/6
6. What is the slope of the line perpendicular to y = 4x - 6?
A.
B.
C.
D.
-6
4
-1/4
-1/6
⃗⃗⃗⃗⃗ bisects <PQR. Which statement is FALSE?
7. 𝑄𝑆
A. m<PQS = 32°
B. m<PQR = 64°
C. m<PQS = m<PQR
D. m<PQS = m<SQR
8. What is the area of a square that has a perimeter of 24 cm.?
A.
B.
C.
D.
576 cm2
36 cm2
144 cm2
24 cm2
̅̅̅?
9. Which of the following segments is parallel to 𝐷𝐽
̅
̅
̅
̅
A. 𝐻𝐽
B. ̅̅̅̅
𝐶𝐷
̅̅̅̅
C. 𝐶𝐴
̅̅̅̅
D. 𝐴𝐹
10. Find the value of the variable.
A. 12
B. 8
C. 16
D. 9
11. Which Postulate or Theorem can you use to prove the triangles are congruent?
A.
B.
C.
D.
AAS
SSS
ASA
SAS
12. Which name best describes the triangle?
A.
B.
C.
D.
scalene, right
isosceles, obtuse
isosceles, acute
equilateral, acute
13. Find the value of x.
A.
B.
C.
D.
20
15
45
22.5
14. ̅̅̅̅
𝐷𝐸 is called the ____________ of ΔABC.
A.
B.
C.
D.
midsegment
median
altitude
bisector
15. Solve for x.
A. 90
B. 93
C. 87
D. 180
16. Find the value of each variable in the parallelogram.
A. x=14, y=10
B. x=10, y=14
C. x=180, y=90
D. x=170, y=166
17. Which word best describes the polygon?
A.
B.
C.
D.
equilateral
equiangular
regular
convex
18. Which of the following statements is false?
A.
B.
C.
D.
m< J = 84°
m<G = 84°
m<J + m<G = 180°
m<J = m<G
̅̅̅̅ ?
̅̅̅̅ if ̅̅̅̅
19. Which of the following is the length of 𝐵𝐷
𝐷𝐸 is parallel to 𝐵𝐶
A. 8
B. 9
C. 2.5
D. 7.2
20. By what Theorem are the following two triangles similar?
A.
B.
C.
D.
SAS
AA
HL
SSS
21. What is the geometric mean of 5 and 25?
A.
B.
C.
D.
5 5
25 5
15
10
22. Find x.
A. 6
B. 12
C. 6 3
D. 6 2
23. Using your calculator what is the cos (37o)?
A.
B.
C.
D.
.753
.602
.799
.533
24. The escalator at a train station in Los Angeles rises 58 feet at a 32o angle. Find out how far a person
travels, d, while riding on the escalator.
A. 7.95
B. 109.45
C. 30.74
D. 49.19
d
25. If the diameter of a circle is 18, then the area of the circle is…
A. 81
B. 18
C. 324
D. 36
̂
26. Find the 𝑚𝐴𝐵
A. 97o
B. 277o
C.186o
D. 83o
27. Find x.
A. 5.3
B. 3
C. 2
D. 4.6
28. Solve for x.
A. 101
B. 259
C. 95
D. 461
29. Find the area of an equilateral triangle with side length of 4.
A. 16
B. 4 3
C. 16 3
D. 4
̂.
30. Find the arc length of 𝐴𝐵
A. 12
B. 2
C. 3
D. 4
For 31 and 32 use the following picture.
31. What is the surface area?
A. 1620
B. 189
C. 846
D. 36
32. What is the volume?
A. 1620
B. 189
C. 846
D. 36
33. Use Trig to find x.
A. 8.92
B. 17.93
C. 8.03
D. 16.15
34. Find the missing side of the triangle.
A. 24
B. 2 6
C. 6 4
D. 12
35. How many times could a cone be filled with water to completely fill a cylinder having the same base
and height?
A. 1
B. 2
C. 3
D. 4