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Geometry 2nd Semester Final

Total questions: 50

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
2.
Find the volume of this shape
a)
1520.53
b)
276.46
c)
552.93
d)
6082.12
3.

Find the volume of the figure.

a)

126 cm3

b)

907.5 cm3

c)

605 cm3

d)

55 cm3

4.

Find the surface area of the sphere, given diameter is 10.

a)

334.16 in2

b)

314 in2

c)

166.67 in2

d)

521.24 in2

5.

What is the circumference of a circle with a diameter of 19.1 ft?

a)

59.97 ft

b)

35.17 ft

c)

28.67 ft

d)

47.17 ft

6.

what is the area of this semicircle ?

a)

50.24

b)

100.48

c)

200.96

d)

25.12

7.

Describe the cross section.

a)

Rectangle

b)

Triangle

c)

Square

d)

Cirlce

8.

Determine the volume.

a)

4 m3

b)

8 m3

c)

12 m3

d)

5.3 m3

9.

Determine the volume. Round to the nearest hundredth.

a)

209.54 m3

b)

83.88 m3

c)

628.32 m3

d)

163.36 m3

10.

Find the arc length of arc AB.

a)

2 cm

b)

6.28 cm

c)

6.28 cm2

d)

18.85 cm

11.
Find the area of circle H.
a)
48 cm2
b)
9.82 cm2
c)
1728 cm2
d)
19.64 cm2
12.
Find the area of the kite.
a)
19.5 m2
b)
78 m2
c)
39 m2
d)
27 m2
13.
Find the area of the regular hexagon.
a)
519.62 units
b)
519.62 units2
c)
1039.23 units2
d)
141.42 units2
14.
Find the volume of the cone.
a)
14.13 in3
b)
56.55 in3
c)
169.56 in3
d)
18 in3
15.
Find the volume of the sphere.
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
d)
904.32 mm2
16.
What does perimeter mean?
a)
the amount of space inside a shape
b)
the distance around the shape
c)
the amount of space inside a shape divided by two
d)
half the distance around a shape
17.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
18.

Which statement is true?

a)

Surface area is the are of the base of a container.

b)

Surface area is the measurement of the space inside of a container

c)

Volume is the measure of the amount a container can hold

d)

Volume is the areas of the surfaces of a container added together.

19.
Area of figure: 
a)
54 ft2
b)
45 ft2
c)
63 ft2
d)
36 ft2
20.
Find the perimeter
a)
25cm
b)
35cm
c)
50cm
d)
100cm
21.
If G is the centroid of triangle ABC and AC= 32. Find the length of CE.
a)
16
b)
32
c)
48
d)
Not Enough Information
22.
The Circumcenter of a triangle is equidistant to the _______ of the triangle.
a)
Sides
b)
Midpoints
c)
Angles
d)
Perpendicular Bisectors
23.
The orthocenter is the intersection of the ______________.
a)
Medians
b)
Perpendicular Bisectors
c)
Altitudes
d)
Angle Bisectors
24.
The ___________________ is equidistant from the sides of the triangle.
a)
Centroid 
b)
Incenter 
c)
Orthocenter
d)
Circumcenter
25.
The picture shows which point of concurrency
____________________.
a)
centroid
b)
incenter
c)
circumcenter
d)
orthocenter
26.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
27.
List the angles in order by measure, smallest to largest.
a)
∠B, ∠A, ∠C
b)
∠A∠,B, ∠C
c)
∠A, ∠C, ∠B
28.
What segment is parallel to EF?
a)
Segment PM
b)
Segment MN
c)
Segment NP
d)
Segment FG
29.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
30.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
31.
In circle P, find the measure of angle QPR.
a)
A
b)
B
c)
C
d)
D
32.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
33.

Find the value of x.

a)

950

b)

850

c)

550

d)

500

34.
Find the value of x.
a)
15
b)
13
c)
3
d)
6
35.
a)
278⁰
b)
297⁰
c)
90⁰
d)
105⁰
36.

Find the value of x.

a)

10

b)

15

c)

20

d)

23

37.

Find the value of x.

a)

12

b)

3

c)

7

d)

5

38.

Find the value of x.

a)

5

b)

10

c)

15

d)

20

39.
Write the equation of the circle.
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
40.

What is the value of "x" in the diagram below?

a)

2.5

b)

5

c)

5√3

d)

10

41.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

42.

Determine the value of: cos(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

43.

Determine the value of: tan(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

44.

Which trigonometric function would you use to find "h", the height of the tree?

a)

sine

b)

cosine

c)

tangent

d)

none of these

45.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

46.

What is the value of x?

(a)  

47.

What must m∠XWZ be for WXYZ to be a parallelogram?

a)

62

b)

118

c)

38

d)

not enough information

48.

A polygon has ____ sides when each exterior angle measures 22.5˚.

a)

12

b)

18

c)

16

d)

14

49.

Which statements is false about squares?

a)

Diagonals are congruent to sides.

b)

Diagonals are perpendicular.

c)

Consecutive angles are supplementary.

d)

Diagonals bisect angles.

50.

Give the most precise classification for each figure.

a)

quadrilateral

b)

parallelogram

c)

rectangle

d)

square

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