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Geometry Semester 2 Exam

Total questions: 123

Worksheet time: 5hrs 15mins

Name
Class
Date
1.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right triangles only

d)

Never

2.

The ratio in a right triangle of the adjacent side to the hypotenuse is _____.

a)

sine

b)

cosine

c)

tangent

d)

inverse cosine

3.

What is the ratio for Tangent?

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

4.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

5.

sin A = ?

a)

7/25

b)

24/25

c)

7/24

d)

25/7

6.

Name that shape. 

a)

square

b)

square
rhombus

c)

quadrilateral
parallelogram
rhombus

d)

quadrilateral
parallelogram
square

7.

If ABCD is a parallelogram, what is the length of BD? 

a)

10

b)

11

c)

7

d)

5

8.

A parallelogram is ________ a quadrilateral.

a)

Sometimes

b)

Always

c)

Never

9.

What is the formula for finding the area of a circle?

a)

A = π·d

b)

C = 2·π·r

c)

A = π·r2

d)

C = π·d

10.

What does r represent in the formula:

A = π·r2

a)

circumference

b)

radius

c)

diameter

d)

squared

11.

Rhombuses are parallelograms.

a)

Never

b)

Sometimes

c)

Always

d)

Maybe

12.

Similar polygons have...

a)

Congruent sides and congruent angles

b)

Congruent angles and proportional sides

c)

Proportional angles and congruent sides

d)

Proportional angles and proportional sides

13.

The apothem is

a)

  1. a line from the center of a regular polygon at right angles to any of its sides.

b)

  1. a line from the center of a regular polygon at right angles to any of its vertices.

c)

  1. A line from one vertex of a regular polygon at right angles to any of its sides.

d)

I have no idea

14.

What is this shape?

a)

cone

b)

cube

c)

pyramid

d)

sphere

15.

What shape is this?

a)

cone

b)

sphere

c)

cube

d)

cylinder

16.

What is the volume of a 3D shape?

a)

How loud it is.

b)

The space it occupies.

c)

The area of its faces.

d)

How tall it is.

17.

For the volume of a prism, V= Bh,
What does the B stand for?

a)

Area of the base

b)

Length of the base

c)

Height of the base

d)

Length from base to base

18.

How do you find the volume of a cylinder?

a)

V = πr²h

b)

V = πr²

c)

V = l × w

d)

V = Ph + 2B

19.

How do you find the volume of a sphere?

a)

V = 4/3 πr³

b)

V = B⋅h

c)

V = 1/3 B⋅h

d)

V = πr²

20.

Find the volume of the cube.

a)

1687.5 mm3

b)

45 mm3

c)

3,375 mm3

d)

225 mm3

21.

What is the volume of the cylinder? Express your exact answer in terms of π.

a)

396 yd3

b)

396π yd2

c)

36π yd3

d)

396π yd3

e)

66π yd3

22.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides are parallel

b)

Opposite angles are equal

c)

Opposite sides are equal and parallel

d)

Not enough information

23.

Is this quadrilateral a parallelogram?

a)

Yes. Diagonals bisect each other

b)

No

c)

Yes. Opposite angles are congruent

d)

Yes. Opposite sides are congruent

24.
a)
x = 9, y = 4
b)
x = 6, y = 4
c)
x = 6, y = 2
d)
x = 4, y = 2
25.

Solve the proportion.

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

26.

The triangles are similar; solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

27.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

28.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

29.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

30.

Find x.

a)

10

b)

20

c)

10√3

d)

√3

31.

Determine whether the triangle is acute, obtuse, right, or neither.
3, 6, 7

a)

acute

b)

obtuse

c)

right

d)

neither

32.

How do you find the central angle?

a)

n / 360

b)

360 / n

c)

180 / n

d)

1/2 a p

33.

Cosine

a)

ADJ / HYP

b)

HYP / ADJ

c)

ADJ / OPP

d)

OPP / HYP

34.

Which shape has congruent diagonals?

a)

Rectangles

b)

Rhombuses

c)

Concave hexagons

d)

Kites

35.

Rectangles and squares both have:

a)

Acute angles

b)

Right angles

c)

Obtuse angles

36.

(N-2) * 180 =

a)

Distance Formula

b)

Sum of the interior angles

c)

Sum of the exterior angles

d)

Midpoint Formula

37.

pi =

a)

Radius / circumference

b)

diameter / circumference

c)

area / circumference

d)

circumference / radius

38.

A line from the center of a regular polygon at right angles to any of its sides.

a)

apothem

b)

radius

c)

perimeter

d)

area

39.

Find the length of the apothem.

a)

3.236

b)

4.944

c)

2.351

d)

6.805

40.

Find the area of the pentagon.

a)

58.12

b)

47.02

c)

76.08

d)

38.04

41.

Find the area:

a)

84 m2

b)

168 m2

c)

112 m2

d)

56 m2

42.

Find the arc length of the bolded arc.

a)

A

b)

B

c)

C

d)

D

43.

Find the arc length of the bolded arc.

a)

A

b)

B

c)

C

d)

D

44.

Name a midsegment of triangle ABC

a)

segment AC

b)

segment DE

c)

segment AB

d)

segment BC

45.

QR is a midsegment of triangle FGH. Solve for the value of x.

a)

5.5

b)

11

c)

-5.5

d)

-11

46.

What's the difference between a rectangle and a parallelogram? 

a)

A rectangle has right angles. 

b)

A parallelogram has right angles. 

c)

They are both identical. 

47.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

48.

Which of these properties is NOT a property of a rhombus?

a)

Diagonals bisect each other

b)

Diagonals are perpendicular

c)

Diagonals create angle bisectors of each angle

d)

Diagonals are congruent

49.

Solve for x in the rectangle.

a)

x=2

b)

x=7

c)

x=8

d)

x=3

50.

If the figure is a rectangle, what is the value of x?

a)

2

b)

12

c)

13

d)

28

51.

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.

52.
Solve for Angle 1 and Angle 2.
a)
1= 92, 2 = 46 degrees
b)
1 = 118, 2 = 118 degrees
c)
1 = 92, 2 = 92 
d)
1 = 136, 2 = 100 
53.
Kite LMNO is shown.
Solve for x.
a)
90
b)
180
c)
60
d)
75
54.

Find the value of x and y on the kite.

a)

x=12 y=6

b)

x=6 y=12

c)

x=24 y=12

d)

x=12 y=24

55.

What is the value of x on the kite.

a)

3

b)

15

c)

13

d)

23

56.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
57.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
58.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
59.
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
60.

Adjacent means

a)

Next to

b)

opposite

c)

hypotenuse

d)

cosine

e)

tangent

61.
What is the measure of arc PQ?
a)
42
b)
64
c)
26
d)
138
62.
Volume = ?
a)
V = 1800 mm3
b)
V = 600 mm3
c)
V = 900 mm3
d)
V = 1200 mm3
63.
Find the Volume of the Composite Figure
a)
156 cubic feet
b)
140 cubic feet
c)
432 cubic feet
d)
180 cubic feet
64.
Find the volume.
a)
14.13 in3
b)
56.55 in3
c)
169.56 in3
d)
145.72in3
65.
Find the Volume
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
66.
What is the surface area of the cylinder to the nearest square inch? 
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
67.
Find x. 
a)
46.1
b)
4.90
c)
16.4
d)
26.9
68.
Find the length of side y.
a)
22.32 cm
b)
36.5 cm
c)
76.34 cm
d)
87.76 cm
69.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
70.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
71.

The sum of exterior angles of polygons are

a)

n-2 x 180

b)

360

c)

360 / n

d)

(n-2 ) 180 / n

72.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
73.

What was color was General Custer's white horse?

a)

A. Black

b)

B. Brown

c)

C. White

d)

D. Apaloosa

74.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 
a)
63.6 ft
b)
1.59 ft
c)
74.2 ft
d)
86.9 ft
75.

The space inside an 3-D object is called it's

a)

area

b)

perimeter

c)

volume

d)

circumference

76.

Which of the following is the definition of a line?

a)

A piece of a line with two endpoints that can be measured.

b)

A collection of points infinitely in two directions.

c)

An angle that lies outside of a triangle.

d)

Points that lie on the same line.

77.

Which of the following is the definition of a midsegment?

a)

Two lines that intersect to make a 90 degree angle.

b)

An angle that lies inside of a triangle.

c)

Two angles with a sum of 180.

d)

A segment connecting the midpoints of two sides of a shape.

78.

Which of the following is the definition of collinear?

a)

Points that lie on the same line.

b)

A segment that bisects an angle.

c)

A segment starting at the vertex of a triangle and intersecting the midpoint of the opposite side.

d)

A triangle with one obtuse angle.

79.

Which of the following is the definition of a midpoint?

a)

A point that divides a segment into two congruent parts.

b)

Two lines that intersect to make a 90 angle.

c)

A triangle with one right angle.

d)

Points that lie on the same line.

80.

Which of the following is the definition of a line segment?

a)

A triangle with one obtuse angle.

b)

Two angles with a sum of 180.

c)

A piece of a line with two endpoints that can be measured.

d)

A triangle with three acute angles.

81.

Which of the following is the definition of an angle bisector?

a)

A piece of a line with two endpoints that can be measured.

b)

Two angles with a sum of 180.

c)

A segment that bisects an angle.

d)

An angle that lies outside of a triangle.

82.

Which of the following is the definition of supplementary.

a)

Two angles with a sum of 180.

b)

Two lines that intersect to make a 90 angle.

c)

A point that divides a segment into two congruent parts.

d)

A triangle with one obtuse angle.

83.

Which of the following is the definition of a median?

a)

A triangle with one right angle.

b)

A point that divides a segment into two congruent parts.

c)

A triangle with three congruent sides.

d)

A segment starting at the vertex of a triangle and intersecting the midpoint of the opposite side.

84.

Which of the following is the definition of perpendicular?

a)

Two lines that intersect to make a 90 degree angle.

b)

A point that divides a segment into two congruent parts.

c)

A collection of points infinitely in two directions.

d)

A segment that bisects an angle.

85.

Which of the following is the definition of an exterior angle?

a)

An angle that lies inside of a triangle.

b)

An angle that lies outside of a triangle.

c)

Two angles with a sum of 180.

d)

A triangle with three congruent sides.

86.

Which of the following is the definition of an acute triangle?

a)

A triangle with three congruent sides.

b)

An angle that lies inside of a triangle.

c)

A triangle with three acute angles.

d)

A triangle with one right angle.

87.

Which of the following is the definition of an equilateral triangle?

a)

A triangle with three congruent sides.

b)

An angle that lies inside of a triangle.

c)

A triangle with three acute angles.

d)

A triangle with one right angle.

88.

Which of the following is the definition of an obtuse triangle?

a)

A triangle with three congruent sides.

b)

A triangle with one obtuse angle.

c)

A triangle with three acute angles.

d)

A triangle with one right angle.

89.

Which of the following is the definition of a right triangle?

a)

A triangle with three congruent sides.

b)

A triangle with one obtuse angle.

c)

A triangle with three acute angles.

d)

A triangle with one right angle.

90.

Which of the following is the definition of an interior angle?

a)

A triangle with three acute angles.

b)

Points that lie on the same line.

c)

A triangle with one right angle.

d)

An angle that lies inside of a triangle.

91.

The exterior angles of a polygon add up to __________________.

a)

180

b)

(n - 2)*180

c)

360

d)

(n - 2)*360

92.

The interior angles of a polygon add up to equal ___________________.

a)

360

b)

(n - 2)*180

c)

(n - 2)*360

d)

180

93.

Find the value of y.

a)

y = 5

b)

y = 146

c)

y = 34

d)

y = 15

94.

Find the value of x in the diagram.

a)

61

b)

73

c)

46

d)

67

95.

If a triangle has three angles, can two of them measure 90 degrees? Why or why not?

a)

Yes, because the third angle will equal 0 degrees

b)

No, because the third angle will equal 0 degrees

c)

Yes, because the sum of the angles of a triangle is 360, so the third angle would be 180

d)

No, because triangles have four angles

96.

Which of the following could be the third side of a triangle if the other two sides measure 8 feet and 13 feet?

a)

2 feet

b)

7 feet

c)

21 feet

d)

33 feet

97.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
98.

find the area of the kite using the formula: A = 1/2 * d1*d2.

a)

19.5

b)

78

c)

39

d)

27

99.
Find the area
a)
96 cm2
b)
48 cm2
c)
36 cm2
d)
48 cm
100.
a)
A
b)
B
c)
C
d)
D
101.
a)
A
b)
B
c)
C
d)
D
102.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
103.

Find the indicated angle. (What is ?)

a)

91°

b)

81°

c)

89°

d)

109°

104.

Find the missing angles.

a)

130 degrees

b)

30 degrees

c)

45 degrees

d)

90 degrees

105.

Two interior angles of a triangle measure 56 °\degree  and 37 °\degree  . What is the third interior angle of the triangle? 

a)

267 degrees

b)

145 degrees

c)

93 degrees

d)

87 degrees

106.

What is the measure of arc ABC?

a)

80˚

b)

185˚

c)

105˚

d)

245˚

107.

What do you call the distance, or perimeter around a circle?

a)

π

b)

Diameter

c)

Radius

d)

Circumference

108.

What do you call a straight line passing from side to side through the center of a body or figure, especially a circle or sphere?

a)

Tangent

b)

Secant

c)

Radius

d)

Diameter

109.

Find the equation of a circle with a center at (1, -2) and a point on the circle at (5, 4).

a)

(x-1)2 + (y+2)2 = 52

b)

(x+1)2 + (y-2)2 = 52

c)

(x-5)2 + (y-4)2 = 52

d)

(x+5)2 + (y+4)2 = 52

110.
Figure C is a...
a)
Rectangle
b)
Square
c)
Rhombus
111.
Find the midsegment.
a)
14
b)
28
c)
12
d)
16
112.
Find the value of x.
a)
35
b)
3
c)
33
d)
None of these
113.
What is the ratio for Sine?
a)
Opposite Leg / Adjacent Leg
b)
Opposite Leg /  Hypotenuse
c)
Adjacent Leg / Hypotenuse
d)
Adjacent Leg / Opposite Leg
114.
Find the value of y.
a)
9
b)
18√2
c)
9√2
d)
(9√2)/2
115.
Find the value of y.
a)
11√2
b)
11
c)
22
d)
(11√2)/2
116.
Find the value of y.
a)
7
b)
7√3
c)
14√3
d)
(14√3)/3
117.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
118.
Find the value of y to the nearest tenth.
a)
4.5
b)
3.2
c)
2.3
d)
5
119.

An 30-60-90 triangle has a long leg of 26 cm. What is the length of each side of the triangle, to the nearest centimeter?

a)

26, 23, 23

b)

26, 15, 38

c)

52, 15, 26

d)

26, 42, 38

120.
A square has diagonal length 13 m. What is the side length of the square, to the nearest centimeter?
a)
9.19
b)
18.38
c)
5.10
d)
13
121.
A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.
a)
134.4
b)
67.2
c)
95√2
d)
(95√2)/2
122.
Solve for X
a)
X=100
b)
X=50
c)
X=30
d)
X=180
123.
A 22 ft ladder is leaning up against a building at a 60° angle. How high up the building can this ladder reach, assuming the 60° angle is constant? 
a)
22 ft. 
b)
11√3 ft. 
c)
22√3 ft.
d)
11 ft.

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