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Geometry Final Exam Review

Total questions: 67

Worksheet time: 17hrs 45mins

Name
Class
Date
1.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
2.
a)
20
b)
30
c)
25
d)
23
3.
a)
15
b)
13
c)
11
d)
17
4.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

5.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
6.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
7.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
8.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
9.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
10.

Which method will not prove triangles are congruent?

a)

ASA

b)

SAS

c)

SSA

d)

AAS

11.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
HL
d)
Not Possible
12.
QR is a midsegment of triangle FGH. Solve for the value of x?
a)
5.5
b)
11
c)
-5.5
d)
-11
13.
QR is a midsegment of triangle WXY. What is the length of segment WY?
a)
3
b)
6
c)
9
d)
12
14.
If LN = 5, then AC = ______.
a)
5
b)
10
c)
15
d)
25
15.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
16.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
17.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
18.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
19.

Name the transformation.

a)

Rotation

b)

Reflection

c)

translation

20.

What kind of triangle is this?

a)

acute

b)

right

c)

obtuse

d)

360 degrees

21.

What kind of triangle is it?

a)

acute

b)

right

c)

obtuse

d)

360 degrees

22.

Do the following sides make a triangle. If so, what type of triangle do they make?


Sides: 3, 4, 10

a)

Right Triangle

b)

Acute Triangle

c)

Obtuse Triangle

d)

Not a triangle

23.

How much is the value of X?

a)

45

b)

60

c)

90

d)

15

24.

Classify this triangle by its sides and angles.

a)

acute & scalene

b)

right & scalene

c)

right & equilateral

d)

acute & equilateral

25.

If ∆LMK ≅ ∆LMT, then ∠K ≅ ____ 

a)

LL  

b)

L\angle L  

c)

T\angle T  

d)

T

26.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
27.

Find BC.

a)

BC = 14

b)

BC = 1

c)

BC = 21

d)

BC = 7

28.
What is the "statement" for step 3 of the proof? 
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
29.
Lines l and m are parallel and the measure of angle 1 is 52 degrees, find the measure of angle 3.
a)
52 degrees
b)
180 degrees
c)
128 degrees
d)
90 degrees
30.
Lines l and m are parallel and the measure of angle 1 is 52 degrees, find the measure of angle 7.
a)
52 degrees
b)
180 degrees
c)
128 degrees
d)
90 degrees
31.
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
32.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
33.

Find x.

a)

54.9

b)

35.1

c)

50.7

d)

39.3

34.

Find x.

a)

2.3

b)

5.6

c)

9.8

d)

11

35.

Find the length of the ramp.

a)

5.7

b)

44.6

c)

41.7

d)

17.1

36.

What is the same as cos <A?

a)

Sin <C

b)

Tan < C

c)

cos < C

d)

tan < A

37.
Solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
38.
Solve for x.
a)
50.7
b)
50.1
c)
60.7
d)
61.0
39.

Find the value of w and x.

a)

w = 16, y = 2

b)

w = 2, y = 17

c)

w = 3, y = 15

d)

w = 2, y = 18

e)

w = 2, y = 16

40.

Find the value of x.

a)

21

b)

3

c)

81

d)

9

e)

18

41.

Find the value of y.

a)

6

b)

108

c)

666\sqrt{6}

d)

363\sqrt{6}

e)

3

42.

In the diagram, AC = 25 and BC = 13. Find AD. Round to the nearest tenth.

a)

18.2

b)

16.9

c)

13

d)

6.8

e)

15.5

43.
I have been given the short leg in this 30-60-90 triangle.  How do I find the long leg?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by 2
44.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
45.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
46.

Determine the value of x.

a)

x = 10√2

b)

x = 10

c)

x = 5√3

d)

x = 5√6

47.

Find x in the parallelogram.

a)

18

b)

6

c)

2.6

d)

11.5

48.
What is true about a Rectangle? 
a)

Diagonals are Congruent 

b)

Diagonals are Perpendicular

c)

Four Congruent Sides 

d)

Diagonals are Angle bisectors 

49.

Which reason could NOT be used to prove a parallelogram is a parallelogram?

a)

Diagonals bisect each other.

b)

Opposite sides are parallel

c)

Diagonals are perpendicular

d)

Opposite angles are congruent.

50.
Find the value of X
a)
94
b)
25
c)
36
d)
180
51.

Which of the following statements is false?

a)

a kite has no parallel sides

b)

a kite has one pair of congruent angles

c)

the diagonals of a kite are perpendicular

d)

the diagonals of a kite are congruent

52.
Find the measure of DG.
a)
14
b)
28
c)
12
d)
16
53.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
54.

What is the equation of the line that goes through the points (2, 9) and (3, 1) ?

a)

y= 8x - 5

b)

y= -8x + 25

c)

y= (1/8)x - 2

d)

y= (-1/8)x + 1

55.
What is the equation of the line that has a slope of 5 and goes through the point (2,7)?
a)
y = 5x + 3
b)
y = 1/5x - 3
c)
y = 1/5x + 3
d)
y = 5x - 3
56.
Write an equation of the line passing through the point (6, -2) that is parallel to the line
y = 4x - 11.
a)
y = -1/4x - 2
b)
y = -1/4x - 26
c)
y = 4x - 2
d)
y = 4x - 26
57.
Write an equation of the line passing through the point (8, 2) that is parallel to the line
6x - 9y = -7.
a)
y = 2/3x - 10/3
b)
y = 2/3x + 30
c)
y = 2/3x + 6
d)
y = 2/3x + 7/9
58.
Write an equation of the line passing through the point (9, 3) that is perpendicular to the line
y = -7/17x + 11.
a)
y = 17/7x - 132/7
b)
y = -7/17x - 12/17
c)
y = 7/17x + 3
d)
y = -7/17x + 3
59.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
60.
Which best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
61.
How big is angle b?
a)
50 degrees
b)
60 degrees
c)
70 degrees
d)
75 degrees
62.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
63.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
64.
Find the measure of angle V
a)
85
b)
80
c)
87
d)
117
65.
Name a line skew to FG
a)
EH
b)
DC
c)
AD
d)
FB
66.
Name a line parallel to AD
a)
EH
b)
AB
c)
DC
d)
HG
67.
Name a line skew to AB
a)
EH
b)
DC
c)
AE
d)
HG