Geometry – MC Review for Final Exam
Name ________________________________
1. Identify the hypothesis and conclusion of this conditional statement.
If tomorrow is Thursday, then yesterday was Tuesday.
a)
b)
c)
d)
Hyp:
Hyp:
Hyp:
Hyp:
Tomorrow is Thursday. Con: Yesterday was not Tuesday
Yesterday was Tuesday. Con: Tomorrow is Thursday.
Yesterday was not Tuesday. Con: Tomorrow is Thursday.
Tomorrow is Thursday. Con: Yesterday was Tuesday.
2. What is the converse of the following conditional?
If a point is in the first quadrant, then its coordinates are positive.
a)
b)
c)
d)
If a point is in the first quadrant, then its coordinates are positive.
If a point is not in the first quadrant, then the coordinates of the point are not positive.
If the coordinates of a point are positive, then the point is in the first quadrant.
If the coordinates of a point are not positive, then the point is not in the first quadrant.
3. Find the values of x and y.
a) x = 30, y = 57
b) x = 57, y = 30
c) x = 30, y = 15
d) x = 57, y = 15
4. Name the theorem or postulate that lets you immediately conclude  HJI   LJK.
Given: <H  <L
HJ  JL
a) ASA
b) SAS
c) SSS
d) none of these
5. Q is equidistant from the sides of <TSR. Find the value of x. The diagram is not drawn to scale.
a) 27
b) 3
c) 15
d) 30
6. DB is the median of the triangle. If AC = 50, what is the length of AB?
a) 50
b) 100
c) 25
d) not enough information
7. True or False.
All parallelograms are rectangles.
a) True
b) False
8. Find the value of x, y, and z in the parallelogram. The diagram is not to scale.
a) x = 25, y = 50, z = 105
b) x = 50, y = 25, z = 105
c) x = 105, y = 25, z = 50
d) x = 25, y = 105, z = 50
9. For A(-2, 1), B(-3, 3) and C(4, -1), find the location of a fourth point, D, so that a parallelogram is formed using A, B, C, and
D in any order.
7
6
5
4
3
2
1
a) (1, 3)
b) (2, 3)
c) (3, 2)
d) (3, 1)
-7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
1 2 3 4 5 6 7
10. Find the length of the hypotenuse.
11. Find x and y.
a) 12
a) x = 6, y = 12
b) 6
b) x =
c) 5
c) x = 6
d) 18
d) x=6
12. Find the values of x. Round to the nearest tenth.
6
3
, y = 12
3 , y = 12
2 , y = 12
13. Find the value of x to the nearest degree.
a) 6.2
a) 30
b ) 12.7
b) 60
c) 15.5
c) 70
d) 10.9
d) 85
14. Find the value of x. Round to the nearest tenth.
15. Write a similarity statement for the triangles.
a) 1134.3
a)
b)
c)
d)
b) 1151.8
c) 34.7
 ABC ~
 BCA ~
 CBA ~
 ABC ~
 DEF
 EDF
 FED
 EDF
d) 203.1
16.
The two triangles are similar. Which is a correct proportion for
corresponding sides?
a)
5x 5

x
4
b)
5x x

4
5
c)
5x x

5
4
d)
5x 5

4
x
17. Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is
the distance between the two campsites?
a) 42.3
b) 47.4
c) 73.8
d) 82.8
18. Find the length of the altitude, x, drawn to the hypotenuse.
a) 2
7
b) 28
c) 4
10
d) 160
19. Find x.
a) 7.5
20. Find the area of the figure to the nearest tenth.
a) 5.2
b) 10
c) 62.8
d) 31.4
b) 6
c) 8
d) 10
21. Find the area of the circle. Leave your answer in
terms of  .
a) 9.61 
b) 4.805 
c) 9.2 
d) 2.4025 
22. Find the area.
23. Find the area.
a) 12,800
b) 19,200
a) 607.32
b) 36.7
c) 303.66
d) 77.2
c) 18,400
d) 9600
24. Find the area of the figure on the right.
a) 28.12
b) 3.9
c) 11.3
d) 56.24
25. A kite has diagonals 4.7 ft and 5 ft. What is the area of the kite?
a) 11.75
b) 23.5
c) 4.85
d) 19.4
c) 21
d) 1029
26. Find the area of the regular hexagon.
a) 127.3
b) 169.7
27. Find the surface area. Leave your answers in terms of

b) 180 
c) 310 
d) 460 
a) 330
28. Find the surface area in terms of
.
a) 90 
.
30. Find the volume of the square pyramid.
Round to the nearest tenth, if necessary.
b) 96 
c) 114 
d) 192 
29. Find the volume of the composite space
figure to the nearest whole number.
a) 5120
a) 192
b) 10,341
b) 9216
c) 5221
c) 4608
d) 12,251
d) 3072