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Geometry Final Exam Review

Total questions: 61

Worksheet time: 4hrs 29mins

Name
Class
Date
1.

Find the distance between the pair of points: (2, 4), (6, 8).

a)

5.7

b)

5.8

c)

5.9

d)

6

2.

Use the graph to answer the following question.

What is the distance between Shannon Ranch and Starbucks?

3.
Find the length of the side CD.
4.

Find the distance between A(-3, 4) and B(4, 15). Write your answer in simplified radical form.

5.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
6.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

a)

105 meters

b)

79.4 meters

c)

210 meters

d)

150 meters

7.

This is an isosceles triangle because it has ​ (a)   sides that are congruent.

Choose from the below words
two
one
all
three
8.

The SUM of the angles of a triangle is ​ (a)  

Choose from the below words
180
360
90
540
270
9.

Which angles are vertical angles?

a)

8  and 7\angle8\ \ and\ \angle7

b)

8 and 6\angle8\ and\ \angle6

c)

8 and 5\angle8\ and\ \angle5

10.

Which angle is a linear pair with 1\angle1  ?

a)

2\angle2  

b)

3\angle3  

c)

4\angle4  

d)

5\angle5  

e)

6\angle6  

11.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) 
a)
(4, 3.5)
b)
(3.5, 5)
c)
(3.5, 4.5)
d)
(5, 3.5)
12.

Find x.

a)

72

b)

67

c)

65

d)

54

13.

Solve for the value of X.

X= (a)  

14.

Two lines that are parallel will have (a)   slopes.

15.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
16.

-angles between 2 lines (interior) and on opposite sides of a transversal (alternate)

-CONGRUENT when lines are parallel

a)

Alternate Interior Angles

b)

Same Side Interior Angles

c)

Corresponding Angles

d)

Vertical Angles

17.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
18.
a)
HL
b)
SAS
c)
not congruent
d)
AAS
19.

Name the Property that the statement illustrates:

MN = MN

a)

reflexive property

b)

symmetric property

c)

transitive property

d)

multiplication property

20.
How are the triangles congruent?
a)
AAS
b)
SAS
c)
ASA
d)
SSS
21.
What is the measure of the missing angle?
a)
140
b)
130
c)
50
d)
90
22.

Find the value of x.

a)

x = 130

b)

x = 31

c)

x = 44

d)

x = 180

23.

The angles inside an equilateral triangle are all ...

a)

20 degrees

b)

50 degrees

c)

60 degrees

d)

45 degrees

24.

A pair of angles (not necessarily adjacent) whose measures add up to 180 degrees

a)

Supplementary Angles

b)

Complementary Angles

c)

Vertical Angles

d)

Corresponding Angles

25.

How is <1 and <2 related?

a)

They are supplementary

b)

They are complementary

c)

They are congruent

d)

They are collinear

26.

Find x.

a)

x = 10

b)

x = 6.875

c)

x = 12.5

d)

x = 40

27.

Find < ABC.

a)

<ABC = 20

b)

<ABC = 30

c)

<ABC = 40

d)

<ABC = 60

28.

What type of angle is shown?

a)

Same-side interior angles

b)

Same-side exterior angles

c)

Alternate exterior angles

d)

Corresponding angles

29.

Are the triangle congruent? If yes, state the postulate that proves it.

a)

SAS

b)

ASA

c)

AAS

d)

Not Congruent

30.

Are the triangle congruent? If yes, state the postulate that proves it.

a)

HL

b)

SAS

c)

SSS

d)

Not Congruent

31.

Are the triangle congruent? If yes, state the postulate that proves it.

a)

SAS

b)

ASA

c)

AAS

d)

Not Congruent

32.

State all the possible names for the image above.

a)

Quadrilateral, Kite

b)

Quadrilateral, Parallelogram

c)

Quadrilateral, Parallelogram, Rhombus

d)

Quadrilateral, Parallelogram, Rhombus, Rectangle, Square

33.
Determine the measure of the indicated angle.
a)
86°
b)
94°
34.
Find the ratio for sinA. (Reduce the fraction)
a)
36/27
b)
4/5
c)
36/45
d)
3/5
35.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
36.
What would you use to solve for a?
a)
sin
b)
cos
c)
tan
d)
Pythagorean theorem
37.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
38.
Use trig ratios (SOH CAH TOA) to solve for x 
a)
5.0
b)
6.1
c)
7.7
d)
6.4
39.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
40.
Sides in similar figures must be proportional.  
a)
True
b)
False 
41.

What type of line is passing through this triangle?

a)

ALTITUDE

b)

MIDSEGMENT

c)

MEDIAN

42.

How many degrees are in a triangle?

a)

90

b)

180

c)

270

d)

360

43.

What is the angle pair for angles

4 and 8

a)

Alternate Exterior Angles

b)

Same Side Interior Angles

c)

Corresponding Angles

44.

What is the angle pair for angles

3 and 6

a)

Alternate Interior Angles

b)

Same Side Interior Angles

c)

Vertical Angles

45.

What type of angle is this?

a)

Acute Angle

b)

Right Angle

c)

Obtuse Angle

46.

What type of angle is this?

a)

Acute Angle

b)

Right Angle

c)

Obtuse Angle

47.

find the area of the circle below.

a)

100 cm

b)

225 cm

c)

9 cm

d)

28.27 cm

48.
a)
A
b)
B
c)
C
d)
D
49.
a)
A
b)
B
c)
C
d)
D
50.
What is the area of this circle?
a)
82.13
b)
78.5
c)
314.16
d)
170.12
51.

Which rule explains why these triangles are congruent ?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

52.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
53.
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
54.

Find the measure of arc NM

a)

192o

b)

217o

c)

186o

d)

124o

55.

Find CD

a)

12

b)

24

c)

18

d)

36

56.

This is a parallelogram. What is the value of x?

a)

7

b)

12

c)

112

d)

68

57.

Quadrilateral WXYZ is a rhombus. If < W is 50, what is < 2?

a)

25

b)

60

c)

45

d)

90

58.

Is this a polygon?

a)

Yes

b)

No

59.

Is this a polygon?

a)

Yes

b)

No

60.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
61.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent