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Geometry Practice Final Exam

Total questions: 83

Worksheet time: 3hrs 59mins

Name
Class
Date
1.
RM=
a)
RM=6
b)
RM=3
c)
RM=12
d)
RM=9
2.
Find AC
a)
7
b)
8
c)
22
d)
23
3.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
4.
Find the midpoint of the segment with the endpoints:  (-2, 6) and (-3, 7)   
a)
(0.5, 0.5)
b)
(6.5, -2.5)
c)
(-1.5, 7)
d)
(-2.5, 6.5)
5.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
6.

A(3,1) B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2 (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2 (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

7.
What is the distance between (2,9) and (1,5)?
a)
15
b)
17
c)
4.12
d)
3.87
8.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

9.

Which angles are vertical angles?

a)

8 & 7\angle8\ \&\ \angle7

b)

8 & 6\angle8\ \&\ \angle6

c)

8 & 5\angle8\ \&\ \angle5

10.
Solve for x.
a)
16
b)
11
c)
50
d)
6
11.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
12.
Find the value of ∠A.
a)
25°
b)
30°
c)
35°
d)
90°
13.

Find m2.m\angle2.  

a)

 65°65\degree  

b)

 180°180\degree  

c)

 115°115\degree  

14.
A single angle that measures between 90 and 180 degrees.
a)
Obtuse Angle
b)
Acute Angle
c)
Right Angle
d)
Linear Pair
15.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

16.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

17.

Which of the following angles would NOT be congruent to the measure of  7\angle7 ?

a)

 2\angle2  

b)

 3\angle3  

c)

 6\angle6  

d)

 8\angle8  

18.

If the  m7 = 115°,m\angle7\ =\ 115\degree,  find the measure of  2.\angle2.  

a)

 115°115\degree  

b)

 65°65\degree  

c)

 180°180\degree  

d)

Cannot be determined

19.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
20.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
21.
Which of the following terms best describes Angle d?
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
22.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
23.
What do the interior angles in a triangle have a sum of?
a)
180
b)
90
c)
360
d)
270
24.
Find the measure of angle x.
a)
138
b)
96
c)
93
d)
87
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
29.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
30.
Use the congruency statement to answer the following: 
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
31.

The two triangles are congruent. Find the value of c.

(Diagrams are not to scale.)

a)

4

b)

5

c)

3

d)

38

32.

If ∆MNO ≅ ∆PQR, which of the following can you NOT conclude as being true? [Hint: DRAW A PICTURE!!]

a)

MN = PR

b)

∠M ≅ ∠P

c)

NO = QR

d)

∠N ≅ ∠Q

33.

What is Dilation?

a)

Dilation means to enlarge or reduce a shape

b)

Dilation means to flip over a line

c)

Dilation means two figures that look alike

d)

Dilation means to make a shape smaller

34.

Are these two figures congruent, similar or neither?

a)

Congruent

b)

Neither

c)

Similar

35.

Choose the correct scale factor:

a)

2.5

b)

1.5

c)

3.5

d)

4

36.

If two figures are similar, the corresponding angles are...

a)

Congruent

b)

Supplementary

c)

Proportional

d)

Different

37.

Which scale factor would enlarge a figure?

a)

3.5

b)

0.5

c)

1/3

d)

5/8

38.
How does a dilation change the angles of a polygon?
a)
It changes by the scale factor.
b)
Dilations do not change the angles.
c)
It is impossible to answer this question.  The angles change unpredictably.
d)
The angles all change to larger angles.
39.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
40.

Tell whether the two figures are congruent or similar.

a)

Congruent, because their sides are the same.

b)

Congruent, because their sides are proportional.

c)

Similar, because their sides are the same.

d)

Similar, because their sides are proportional.

e)

They are neither congruent or similar.

41.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
42.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
43.

Which of these sets of angles will make a triangle?

a)

44 °\degree , 55 °\degree , 66 °\degree

b)

19 \degree , 28 \degree , 37 \degree

c)

91 \degree , 82 \degree , 73 \degree

d)

70 \degree , 65 \degree , 45 \degree

44.

Complete the Theorem:


"The sum of the measures of the two smallest sides of a triangle...

a)

...will equal the measure of the third side.

b)

...cannot be more than the measure of the third side.

c)

...must be greater than the measure of the third side.

d)

...has nothing to do with the third side.

45.

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

46.

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

47.

What is a regular polygon? (you may choose more than one answer)

a)

all side lengths are the same length

b)

all angles are the same (equal in measure)

c)

only some side lengths are the same

d)

all side lengths are different

e)

only some angles are the same

48.
Find the missing angle.
a)
75
b)
85
c)
100
d)
45
49.
Find the value of X
a)
94
b)
25
c)
36
d)
180
50.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
51.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
52.
In a parallelogram, diagonals are __________.
a)
perpendicular
b)
bisected
c)
congruent
d)
parallel
53.
Find m∠U.
a)
95°
b)
85°
c)
75°
d)
90°
54.
Find x.
a)
103
b)
77
c)
83
d)
73
55.

CHECK ALL THAT APPLY:

All sides are congruent.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

56.

TRUE OR FALSE:

Squares, rhombuses, and rectangles are considered parallelograms.

a)

True

b)

False

57.

TRUE OR FALSE:

A parallelogram is always a rectangle.

a)

True

b)

False

58.

A Trapezoid is a parallelogram.

a)

True

b)

False

59.

In a Trapezoid, there is exactly ___ pair(s) of parallel sides.

a)

1

b)

2

c)

3

d)

4

60.
The legs of an isosceles trapezoid are _____.
a)
parallel
b)
perpendicular
c)
congruent
d)
skew
61.

In a Trapezoid, the parallel sides are called the _____________.

a)

Legs

b)

Bases

62.
Find the measure of ∠1:
a)
79°
b)
101°
c)
72°
d)
180°
63.
Base angles of an isosceles trapezoid are _____.
a)
neither
b)
supplementary
c)
congruent
64.
Find the measure of the midsegment XY:
a)
21
b)
9
c)
12
d)
10.5
65.

Which of the following statements are true?

a)

BD and AC are perpendicular

b)

BD and AC are congruent

c)

∠A and ∠C are congruent

d)

AD and DC are congruent

66.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

67.

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

a)

172+82=b217^2+8^2=b^2

b)

82+b2=1728^2+b^2=17^2

c)

172+b2=8217^2+b^2=8^2

d)

82b2=172100\frac{8^2}{b^2}=\frac{17^2}{100}

68.
The longest side of a right triangle is DIRECTLY ACROSS from the...
a)
right angle.
b)
acute angle.
c)
obtuse angle.
69.
What is the final step in solving this work for c?
a2 + b2 = c2
32 + 42 = c2
9 + 16 = c2
25 = c2
a)
Divide both sides by 2
b)
Take the square root of both sides
70.
solve for c
a)
7
b)
9
c)
4
d)
13
71.

Find the perimeter of the shape.

a)

27 ft.

b)

40 ft.

c)

27 ft.

d)

54 ft.

72.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
73.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
74.
What is the circumference of a 12-inch pizza?
a)
37.68 inches
b)
18.84 inches
c)
113.04 inches
d)
432.16 inches
75.
An angle in a circle with vertex on the center of the circle
a)
Central angle
b)
Angle
c)
Inscribed angle
d)
Circle
76.

The inscribed angle is  (choose 3 correct answers)

a)

 DCB\angle DCB  

b)

 BAD\angle BAD  

c)

 CDA\angle CDA  

d)

 CBA\angle CBA  

77.

What is the measure of the indicated arc?

a)

70

b)

140

c)

35

d)

90

78.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
79.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
80.

Find the measure of angle V:

a)

85

b)

80

c)

87

d)

117

81.

What type of arc is arc AEB?

a)

Major

b)

Minor

c)

Semi-circle

d)

Noah's

82.
How many degrees are in a circle?
a)
90
b)
180
c)
270
d)
360
83.

Which shows a tangent line?

a)
b)
c)
d)