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Geometry Final Exam Review

Total questions: 60

Worksheet time: 15hrs 0mins

Name
Class
Date
1.

intersection of plane M and line k

a)

C←B→\overleftarrow{C}\overrightarrow{B}

b)

⋅\cdot E

c)

j

d)

plane MM  

2.

intersection of l and m

a)

⋅\cdot H

b)

⋅\cdot E

c)

plane Q

d)

F←E→\overleftarrow{F}\overrightarrow{E}

e)

⋅\cdot D

3.

Are  ⋅\cdot D  and  ⋅\cdot E  collinear? 

a)

Yes

b)

No

4.

1) Given the two parallel lines cut by a transversal.


What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

5.

2) Given the following two parallel lines cut by a transversal.


Which pair of angles represents corresponding angles?

a)

∠1\angle1  and  ∠6\angle6  

b)

∠6\angle6  and ∠5\angle5  

c)

∠7\angle7  and ∠8\angle8  

d)

∠4\angle4  and ∠8\angle8  

6.

Solve for x

a)

15

b)

16

c)

18

d)

19

7.
What is the measure of arc WYZ?
a)
231
b)
255
c)
168
d)
200
8.
What is the measure of arc PQ?
a)
47
b)
57
c)
67
d)
77
9.

Find the measure of each side indicated. Round to the nearest tenth.

a)

6.6

b)

7.7

c)

10.3

d)

8.8

10.

Find the measure of each side indicated. Round to the nearest tenth.

a)

2.1

b)

1

c)

1.7

d)

0.5

11.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 
a)
63.6 ft
b)
1.59 ft
c)
74.2 ft
d)
86.9 ft
12.
A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?
a)
66 degrees
b)
80 degrees
c)
30 degrees
d)
19 degrees
13.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
14.
Find x. 
a)
6√3
b)
8√3
c)
24
d)
12√3
15.
Find x - the length of the hypotenuse of the triangle.
a)
5
b)
5√2
c)
10
d)
5√3
16.
What are u and v in this 30-60-90 triangle?
a)
v = 2√3 u = 6
b)
v = 4 u = 4√3
c)
v = 4 u = 4√2
d)
v = 4√3 u = 8√3
17.

What is the area of this circle if the diameter is 38 cm?

a)

8322.1 cm2

b)

1134.1 cm2

c)

4536.5 cm2

d)

1267.1 cm2

18.
Solve for x
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
19.

Solve for x.

a)

180

b)

12

c)

8

d)

16.7

20.
Find the measure of the missing angle.
a)
30o
b)
110o
c)
150o
d)
40o
21.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
22.
A line that contains point M.
a)
Line q
b)
Line p
c)
Line r
d)
Line NH
23.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
24.

The given figure is a trapezoid. Find the value of x and y.

a)


x=63°x=63\degree and y=110°y=110\degree

b)

x=117°x=117\degree and y=70°y=70\degree

c)

x=90°x=90\degree and y=90°y=90\degree

d)

x=45°x=45\degree and y=120°y=120\degree

25.

The figure shown is a parallelogram. Find the m∠R and m∠S.

a)

m∠R=40° and m∠S=140°

b)

m∠R=140° and m∠S=40°

c)

m∠R=50° and m∠S=40°

d)

m∠R=70° and m∠S=70°

26.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

27.
Which value of x will show that lines l and m are parallel?
a)
20
b)
22
c)
24
d)
25
28.

Solve for the value of X.

X=_____

a)

30°30\degree

b)

75°75\degree

c)

150°150\degree

d)

60°60\degree

29.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
HL
30.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
31.

Find the length of side w. Round to the nearest tenth.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

32.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

33.

Which of the following is NOT a triangle congruence theorem?

a)

ASA

b)

SSS

c)

AAA

d)

AAS

e)

HL

34.

Which helps to prove ΔABE≅ΔCBD?Which\ helps\ to\ prove\ \Delta ABE\cong\Delta CBD?

a)

AB≅BDAB\cong BD  

b)

AD≅EDAD\cong ED  

c)

AE≅BDAE\cong BD  

d)

AB≅BCAB\cong BC  

35.

How can a square be classified? Select ALL that apply.

a)

Rectangle

b)

Parallelogram

c)

Rhombus

d)

Trapezoid

36.

What is the sum of interior angles in this polygon?

a)

360°360\degree

b)

540°540\degree

c)

720°720\degree

d)

900°900\degree

37.

Find the measure of angle y.

a)

12

b)

33

c)

21

d)

54

38.

Which of the following is NOT a triangle congruence theorem?

a)

ASA

b)

SSS

c)

AAA

d)

AAS

e)

HL

39.

Which helps to prove ΔABE≅ΔCBD?Which\ helps\ to\ prove\ \Delta ABE\cong\Delta CBD?

a)

AB≅BDAB\cong BD  

b)

AD≅EDAD\cong ED  

c)

AE≅BDAE\cong BD  

d)

AB≅BCAB\cong BC  

40.

What is step 5 of the given proof?

a)

BD≅BDBD\cong BD

b)

∠A≅∠C\angle A\cong\angle C

c)

AB≅BCAB\cong BC

41.

Which is the CORRECT way to write the triangle congruence statement in step 6?

a)

ΔADB≅ΔBDC\Delta ADB\cong\Delta BDC  

b)

ΔABD≅ΔCBD\Delta ABD\cong\Delta CBD  

c)

ΔABC≅ΔDEF\Delta ABC\cong\Delta DEF  

d)

ΔDAB≅ΔDBC\Delta DAB\cong\Delta DBC  

42.

What is the distance between (-6, 8) and (-3, 9)?

a)

4

b)

6

c)

10\sqrt{10}

d)

15\sqrt{15}

43.

The exterior angles of a polygon add up to __________________.

a)

180

b)

(n - 2)*180

c)

360

d)

(n - 2)*360

44.

The interior angles of a polygon add up to equal ___________________.

a)

360

b)

(n - 2)*180

c)

(n - 2)*360

d)

180

45.

What is the angle relationship between the angles shown?

a)

Linear Pair

b)

Corresponding

c)

Vertical

d)

Adjacent

46.

If m<A = 17x + 9, m<B = 21x - 3, and m<C = 15x + 15, find the m<A.

a)

3

b)

60

c)

180

d)

14

47.

Find the value of x and y.

a)

x = 14, y = 37

b)

x = 37, y = 14

c)

x = 14, y = 6

d)

x = 6, y = 14

48.

Which of the following lengths can form a triangle?

a)

3 ft, 8 ft, 5 ft

b)

11 yds, 12 yds, 28 yds

c)

7 in, 8 in, 1 in

d)

15 mi, 17 mi, 18 mi

49.

True or false: The pythagorean theorem works for all triangles.

a)

True

b)

False, only works for right angles

c)

False, only works for acute angles

d)

False, only works for quadrilaterals

50.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
51.

What is the missing statement in the proof?

a)

Addition property

b)

Segment Addition Postulate

c)

Substitution property

d)

Transitive property

52.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Reflexive Prop
d)
Transitive Prop.
53.
What is the missing statement in the proof?
a)
2m∠ABD=m∠ABD+m∠ABD
b)
m∠ABD=m∠DBC
c)
m∠ABC=m∠ABC
d)
m∠ABD+m∠ABD=m∠ABD+m∠DBC
54.
What is the reason?
a)
Definition of congrucent
b)
Definition of midpoint
c)
Definition of segment
d)
Segment Addition 
55.

Which of the following types of triangles is NOT possible?

a)

acute scalene

b)

obtuse scalene

c)

obtuse isosceles

d)

right equilateral

56.

a)

AAA

b)

SSA

c)

SSS

d)

HL

57.

CHOOSE

a)

A

b)

B

c)

C

d)

D

58.

CHOOSE

a)

A

b)

B

c)

C

d)

D

59.

CHOOSE

a)

A

b)

B

c)

C

d)

D

60.
The figure is a parallelogram.  
Solve for x.  
a)
11
b)
10
c)
6
d)
2