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Geometry Final Exam REVIEW

Total questions: 44

Worksheet time: 2hrs 53mins

Name
Class
Date
1.
a)

a

b)

b

c)

c

d)

d

2.

What is the volume of the cone?

a)

320π

b)

363π

c)

1280π

d)

960π

3.
What is 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
4.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

5.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

6.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
7.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
8.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

9.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
10.
What is the correct equation to solve for x ?
a)
tan( 46 ) = 17/x
b)
sin ( 46 ) = x/17
c)
tan (46 ) = x/17
d)
cos (46) = x/17
11.

A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Write the equation in standard form.

a)

(x - 6)2 + (y + 4)2 = 49

b)

(x + 4)2 + (y - 6)2 = 49

c)

(x - 6)2 + (y + 4)2 = 55

d)

x2 + y2 = 55

12.

What is the radius of the circle with this equation x² + y² - 10x + 8y - 23 = 0?

a)

4

b)

2

c)

8

d)

23

13.

Change the following equation to standard form

x2 + y2 - 4x + 12y - 8 = 0

a)

(x + 2)2 + (y - 6)2 = 48

b)

(x - 2)2 + (y + 6)2 = 48

c)

(x - 6)2 + (y - 2)2 = 48

d)

(x + 2)2 + (y - 6)2 = 48

14.

What is the center for the circle with this equation x² + y² + 4x + 6y - 36 = 0?

a)

(-2, 5)

b)

(2, 7)

c)

(-2, -7)

d)

(-2, -3)

15.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
16.
Find the value of ∠A.
a)
141 degrees
b)
41 degrees
c)
51 degrees
d)
180 degrees
17.

Which of the following is an example of corresponding angles?

a)

 8 and 4\angle8\ and\ \angle4  

b)

 5 and 7\angle5\ and\ \angle7  

c)

 1 and 7\angle1\ and\ \angle7  

d)

 3 and 5\angle3\ and\ \angle5  

18.

Which of the following is NOT an example of supplementary angles?

a)

 7 and 8\angle7\ and\ \angle8  

b)

 2 and 3\angle2\ and\ \angle3  

c)

 1 and 7\angle1\ and\ \angle7  

d)

 6 and 4\angle6\ and\ \angle4  

19.
Find the measure of the missing angle.
a)
47
b)
57
c)
53
d)
133
20.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
21.

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

22.
a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

23.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90o counter clockwise rotation

24.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
25.

How is the blue triangle rotated to the red triangle?

a)

90 clockwise

b)

90 counterclockwise

c)

180 clockwise

d)

180 counterclockwise

26.

Identify the transformation performed

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

27.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
28.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
29.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
30.
You want to reflect a figure over the horizontal line shown. 
What directions would you give? 
Reflect over the line: ________
a)
x = -4
b)
y = -4
c)
x - y = 4
d)
None of these
31.
What is the rule for the following reflection? 
a)
Reflection across       y = 3
b)
Reflection across        x = −3
c)
Reflection across            x = 3
d)
Reflection across          y = −3
32.
Which transformation is NOT a rigid motion (the size changes)?
a)
reflection
b)
rotation
c)
dilation
d)
translation
33.
A rigid motion ...
a)
preserves size and location
b)
preserves shape and location
c)
preserves size and shape
d)
makes the figure larger
34.
What does "m" represent in y = mx + b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
35.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
beans
c)
nothing
d)
slope
36.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
37.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
38.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
39.
What is the area of the rectangle?
a)
28 units squared
b)
45 units squared
c)
33 units squared
d)
19 units squared
40.
What is the area of the figure? 
a)
11 square units
b)
15 square units
c)
25 square units
d)
30 square units
41.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
42.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
43.
What type of slope?
a)
zero slope
b)
undefined
c)
negative
d)
positive
44.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3