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Geometry Final Exam - Extra Practice

Total questions: 29

Worksheet time: 2hrs 52mins

Name
Class
Date
1.

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

a)

Law of Detachment

b)

Law of Syllogism

c)

Law of Contrapositive

d)

None

2.

Given the conditional statement;

"If Max gets good grade, then he won't be grounded"

Which of the following is the contrapositive?

a)

If Max isn't grounded then he gets good grades.

b)

If Max doesn't get good grade then he will be grounded.

c)

If Max gets grounded then he doesn't get good grades.

d)

If Max gets good grades, the he will get grounded.

3.

What is the converse to this statement?

a)

If it isn't dark outside, then it is not night.

b)

If it is night, then it is dark outside

c)

If it is not night, then it is not dark outside.

d)

It is night.

4.

Which of the following is a valid conclusion to the following statement?


If the sun is shining it is a beautiful day.

If it is a beautiful day then we will go go hiking.

Therefore...

a)

If the sun is not shining, we will not go hiking.

b)

If the sun is shining then we will go hiking.

c)

No conclusion can be made.

d)

If we go hiking, then it is a beautiful day.

5.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
49
b)
Same Side Interior
131
c)
Same Side Interior
49
d)
Alternate Interior
131
6.
a)
x=29
b)
x=61
c)
x=14
d)
x=20
7.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
8.

Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).

a)

(1, 3)

b)

(3.5, -.5)

c)

(-.5, 3.5)

d)

(6, -.5)

9.

What is the slope of the line that is perpendicular to the line in the graph?

a)

5

b)

-5

c)

d)

-⅕

10.

Which graph would be parallel to the graph of the equation y = - ⅔ x + 20

a)
b)
c)
d)
11.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
12.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
13.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
14.

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if

necessary.

a)

A

b)

B

c)

C

d)

D

15.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

16.

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if

necessary.

a)

A

b)

B

c)

C

d)

D

17.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
18.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAA
d)
Not Congruent
19.

Reflect the point over the y-axis. What is the coordinate of its image?

a)

(-3,3)

b)

(3,3)

c)

(-3,-3)

d)

(3,-3)

20.

Reflect the point over the x-axis. What is the coordinate of its image?

a)

(-3,3)

b)

(3,3)

c)

(-3,-3)

d)

(3,-3)

21.
Find side length X.
a)
30
b)
25
c)
15
d)
40
22.
a)

7

b)

12

c)

6

d)

4

23.

Find the length of the missing side. (Calculators are allowed)

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

24.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
25.
Solve for the missing angle.
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
26.

The circumference of a circle is 28.26 cm. What is closest to the area of the circle.

a)

254.34 cm2

b)

14.13 cm2

c)

63.6 cm2

27.
What is the measure of arc AD?
a)
137
b)
136
c)
135
d)
134
28.
a)
A
b)
B
c)
C
d)
D
29.
a)
210 in3
b)
260 in3
c)
2160 in3
d)
2610 in3