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Geometry Term 2 Extravaganza

Total questions: 121

Worksheet time: 10hrs 5mins

Name
Class
Date
1.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
2.
What is the sum of the interior angles for a      24-gon
a)
3960
b)
360
c)
15
d)
4280
3.
What is the sum of the exterior angles?
a)
180 degrees
b)
45 degrees
c)
360 degrees
d)
270 degrees
4.

a)

135

b)

55

c)

180

d)

360

5.

a)

70 degrees

b)

180 degrees

c)

110 degrees

d)

20 degrees

6.

a)

10 degrees

b)

41 degrees

c)

180 degrees

d)

360 degrees

7.

Name this shape.

a)

trapezoid

b)

kite

c)

parallelogram

d)

rhombus

8.

Name this shape.

a)

square

b)

rectangle

c)

parallelogram

d)

rhombus

9.

Name this shape.

a)

trapezoid

b)

parallelogram

c)

kite

d)

rhombus

10.

Name this shape.

a)

trapezoid

b)

rhombus

c)

rectangle

d)

square

11.
LMNO is a parallelogram
solve for X
a)
19
b)
20
c)
33
d)
53
12.

The shown quadrilateral is a rectangle. If AC is 10, what is the length of DE?

a)

10

b)

5

c)

15

13.
Solve for the variables.
a)
x=15, y=9
b)
x=9, y=15
14.
Find the median of the trapezoid.
a)
C
b)
D
c)
B
d)
A
15.
Given Rhombus TUVW. Find m∠2.
a)
62
b)
28
c)
90
d)
78
16.
Kite ABCD is shown.
If AC = 44, what is EC?
a)
44
b)
11
c)
88
d)
22
17.
Find the missing angle of the trapezoid.
a)
65
b)
115
c)
180
d)
None of these
18.
Diagonals are congruent in all  ________.
a)
quadrilaterals
b)
rectangles
c)
rhombuses
d)
parallelograms
19.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
20.

Which quadrilateral(s) have opposite sides that are congruent?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

21.
The diagonals of a square are
a)
parallel
b)
congruent
c)
perpendicular
d)
congruent and perpendicular
22.
The diagonals of a rhombus 
a)
never intersect
b)
bisect the opposite angles
c)
are congruent
d)
bisect the sides
23.
A __________________ is always a rhombus, but a rhombus is not always a _______________. 
a)
rhombus
b)
parallelogram
c)
square
d)
rectangle
24.
A __________________ is a quadrilateral with two sets of parallel sides and 4 right angles
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
25.
Which statement is not true?
a)
Every parallelogram is a rectangle.
b)
Every square is a parallelogram.
c)
Every square has two pairs of parallel sides.
d)
Every rectangle has four right angles.
26.

What is this shape? (Same color means congruent measures)

a)

Trapezoid

b)

Isosceles Trapezoid

c)

Parallelogram

d)

Rhombus

27.

Which sign is NOT a quadrilateral?

a)
b)
c)
d)
28.

x5=810\frac{x}{5}=\frac{8}{10}  

a)

x=7

b)

x=4

c)

x=2

d)

x=3

29.

251=x3\frac{25}{1}=\frac{x}{3}  

a)

x=75

b)

x=50

c)

x=27

d)

x=43

30.
a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

31.

Solve:

a)

6

b)

7

c)

-8

d)

-5

32.

Solve:

a)

-4

b)

10

c)

3

d)

-4

33.

Are the two figures similar

a)

yes

b)

no

34.

Are the two figures similar?

a)

Yes

b)

No

35.

The two figures are similar. Find the indicated side length.

a)

15

b)

24

c)

16

d)

18

36.

The two figures are similar. Find the indicated side length.

a)

12

b)

24

c)

26

d)

16

37.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
38.
Solve for x. The two figures are similar.
a)
x = 6
b)
x = 9
c)
x = 7
d)
x = `0
39.
a)
4
b)
1.44
c)
12.8
d)
5/4
40.

Look at the picture. Find the value of x.

a)

40

b)

130

c)

20

d)

169

41.

Look at the picture. Find the value of x.

a)

14 ft

b)

28 ft

c)

10 ft

d)

18 ft

42.

Look at the two triangle in the picture. The two triangles are similar. Select the correct similarity statement.

a)

ΔACB∼EFD\Delta ACB\sim EFD

b)

ΔCBA∼ΔDEF\Delta CBA\sim\Delta DEF

c)

ΔABC∼ΔDEF\Delta ABC\sim\Delta DEF

d)

None of the statements above are correct.

43.

Look at the two triangle in the picture. The two triangles are similar. Select the correct similarity statement.

a)

ΔCBA∼ΔPQR\Delta CBA\sim\Delta PQR

b)

ΔABC∼ΔQRP\Delta ABC\sim\Delta QRP

c)

ΔABC∼ΔPQR\Delta ABC\sim\Delta PQR

d)

ΔBCA∼ΔRQP\Delta BCA\sim\Delta RQP

44.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
45.
Simplify the radical.....
√36
a)
7
b)
6
c)
2√2
d)
1.5
46.
Simplify the radical.....
√100
a)
2
b)
4
c)
6√4
d)
10
47.

11\sqrt{11}  

a)

9.2

b)

5

c)

11.4

d)

3.2

48.

√48

a)

7.1

b)

6.9

c)

24

d)

6.3

49.

Level 3: Estimate the square root.

a)

Between 4 and 5 and closer to 5

b)

Between 5 and 6 and closer to 6

c)

Between -4 and -5 and closer to -5

d)

Between -5 and -6 and closer to -6

50.

Level 4: Estimate the square root to the nearest tenth.

a)

3.2

b)

3.1

c)

3.4

d)

3.0

51.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

52.

What side(s) will always be the longest on a right triangle?

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

53.

What is the relationship between the sides in the Pythagorean Theorem shown?


Hint: Think about when the hypotenuse is missing!

a)

a + b = c

b)

a2 + b2 = c2

c)

a2 – b2 = c2

d)

a – b = c

54.
If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?
a)
9
b)
40
c)
41
55.
a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
a)
yes 
b)
no
56.

Find the missing side.

a)

11

b)

12

c)

13

d)

14

57.

A triangle has legs that are 7 inches and 24 inches long. How long is the hypotenuse?

a)

23

b)

26

c)

28

d)

25

58.

Find the value of x.

a)

22

b)

24

c)

28

d)

35

59.

Classify the triangle with side measures:  

99  , 1717  ,  575\sqrt{7}  

a)

Acute

b)

Right

c)

Obtuse

60.

Classify the triangle with side measures:  

88  , 99  ,  1010  

a)

Acute

b)

Right

c)

Obtuse

61.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
62.

Find x.

a)

10

b)

10310\sqrt{3}

c)

10210\sqrt{2}

d)

20

63.

What is the correct trigonometric ratio for the sine of A?

a)
b)
c)
64.

What is the correct trigonometric ratio for the tangent of A?

a)
b)
c)
65.

Find the length of the missing side to the nearest tenth.

a)

10.1

b)

10.9

c)

25.0

d)

29.1

66.

Find the measure of the angle to the nearest degree.

a)

18o

b)

19o

c)

20o

d)

71o

67.

tan(A) = ?

a)

2021\frac{\text{20}}{\text{21}}

b)

2120\frac{\text{21}}{\text{20}}

c)

tan(C)

d)

BC‾BA‾\frac{\overline{BC}}{\overline{BA}}

68.

sin(A) = ?

a)

2021\frac{20}{21}

b)

2029\frac{20}{29}

c)

cos(A)

d)

cos(C)

69.

What is cos(c) ?

a)

1237\frac{12}{37}

b)

1235\frac{12}{35}

c)

3537\frac{35}{37}

d)

3512\frac{35}{12}

70.

Find the ratio for tanA. (Reduce the fraction)

a)

36/27

b)

4/3

c)

36/45

d)

4/5

71.

Find the ratio for cosA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

27/45

d)

3/5

72.

∠Y illustrates angle of elevation.

a)

TRUE

b)

FALSE

c)

MAYBE

d)

NOT SURE

73.

Find the area of ABC to the nearest tenth.

a)

62.3 units2

b)

124.6 units2

c)

77.0 units2

d)

100 units2

74.

What is the area of a triangle with two sides that measure 6 m and 8 m with an included angle of 137°?

a)

17.8m²

b)

14.6m²

c)

16.4m²

d)

12.9m²

75.

Set up an equation that could be used to solve for the variable.

a)
b)
c)
d)
76.

Choose the correct ratio.

a)

sin-1(9/20)

b)

cos-1(9/20)

c)

tan-1(9/20)

d)

cos-1(20/9)

77.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

78.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

49°

b)

57°

c)

45°

d)

54°

79.
Which of the following formulas shows the Law of Cosines?
a)
c2 = a2 + b2 - 4ac + cosA
b)
c2 = a2 - b2 - 2abcosC
c)
c2 = a2 + b2 - 2abcosC
d)
(cos A)/a = (cos B)/b
80.

If three sides of a triangle are given, the Law of ____ is used to solve the triangle.

a)

Cosines

b)

Sines

c)

Tangents

d)

Cosecants

81.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
82.

Calculate the length of AC

a)

32.68 ft

b)

110.70 ft

c)

27.54 ft

d)

26.58 ft

83.

Which Law would you use to solve for Angle B?

a)

Law of the Jungle

b)

Law of Cosines

c)

Law of the Gravity

d)

Law of Sines

84.

What is the formula for the area of a triangle?

a)

A=bh

b)

A=lw

c)

A=s2

d)

A=1/2(bh)

85.

How do you find the diameter of a circle

a)

Multiply by pi

b)

Multiply the radius by 2

c)

Divide the radius by 2

d)

It's impossible...

86.

What is the area of the rectangle?

a)

15 cm2

b)

8 cm2

c)

2 cm2

d)

16 cm

87.

Find the area of the square.

a)

49 mi2

b)

28 mi2

c)

14 mi2

d)

21 mi2

88.

Formula for the area of a parallelogram

a)

A=bhA=bh  

b)

A=bh2A=\frac{bh}{2}

c)

A=(b1+b22)hA=\left(\frac{b_1+b_2}{2}\right)h

d)

A=πr2A=\pi r^2

89.

Formula for the area of this shape

a)

A=bhA=bh  

b)

A=bh2A=\frac{bh}{2}

c)

A=(b1+b22)hA=\left(\frac{b_1+b_2}{2}\right)h

d)

A=s2A=s^2  

90.

Circumference = 2 x _______ x Radius

a)
b)

Area

c)

Diameter

d)

BBQ Sauce

91.
Find the area.
a)
46.2 ft2
b)
92.4 ft2
c)
46.2 ft
d)
92.4 ft
92.
Find the area.
a)
126 ft2
b)
39 ft2
c)
156 ft2
d)
80 ft2
93.
Find the area of the figure shown.
a)
34 units2
b)
960 units2
c)
220 units2
d)
480 units2
94.
Find the area
a)
96 cm2
b)
48 cm2
c)
36 cm2
d)
48 cm
95.
Find the area.
a)
50.4
b)
700.56
c)
100.08
d)
1401.12
96.
What shape is this?
a)
Cube
b)
Triangular Prism
c)
Rectangular Pyramid
d)
Cone
97.
What is this shape?
a)
cone
b)
pyramid
c)
rectangular prism
d)
cube
98.

Name the Polyhedron

a)

Prism

b)

Polyhedra/ polyhedron

c)

Polygon

d)

Pyramid

99.
What is this shape?
a)
cone
b)
cube
c)
pyramid
d)
sphere
100.
Name the shape
a)
Circle
b)
Sphere
c)
Cone
d)
Cylinder
101.
What shape will the vertical cross -section of a cylinder be?
a)
Circle
b)
Triangle
c)
Rectangle
d)
Ellipse
102.
What shape will the horizontal cross-section of a cone be?
a)
Dome
b)
Circle
c)
Pyramid
d)
Triangle
103.
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
104.
What is the volume of this prism?
a)
7 cubic units
b)
4 cubic units
c)
6 cubic units
d)
It's impossible to find
105.
Find the volume.
a)
364
b)
1092
c)
546
d)
182
106.

Is surface area.......

a)

Filling in a 3 dimensional shape

b)

wrapping the outside of a 3 dimensional shape

107.

2πrH+2πr22\pi rH+2\pi r^2  
Find the total surface area. Use 3.14 for pi. Round to the nearest tenths.

a)

45.2

b)

100.5

c)

55.3

d)

155.7

108.

V=πr2HV=\pi r^2H  
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

a)

16.4 cm3

b)

31.7 cm3

c)

31.4 cm3

d)

22.0 cm3

109.

Find the surface area of the following sphere.

a)

452.16 mm2

b)

108.8 mm2

c)

904.32 mm2

d)

6658.56 mm2

110.

Find the surface area of the sphere

a)

113.1cm2

b)

452.39cm2

c)

904.78cm2

d)

268.08cm2

111.

Find the volume.

a)

779.6 cubic mm

b)

883.6 cubic mm

c)

840.6 cubic mm

d)

805.9 cubic mm

112.
A pyramid has a square base. Each side of the base is 9 cm. The slant height of each triangle is 14 cm. What is the surface area?
a)
126 cm2
b)
144 cm2
c)
252 cm2
d)
333 cm2
113.
What is surface area?  Round to the nearest hundredth
a)
1339.73
b)
1003.36
c)
320.78
d)
742.04
114.
What does the "B" in the volume formula V = Bh stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
115.
Frank has an eraser. It has a mass of 4 g, and a volume of 2 cm3. What is its density?
a)
8 g/cm3
b)
2 g/cm3
c)
1/2 g/cm3
d)
24 g/cm3
116.
Frank has a paper clip. It has a mass of 9g and a volume of 3cm3. What is its density?
a)
3 g/cm3
b)
1/3 g/cm3
c)
27 g/cm3
d)
39 g/cm3
117.
Describe the cross section.
a)
circle
b)
oval
c)
semi-circle
d)
trapezoid
118.

What 3-D solid is formed when this rectangle is rotated about the vertical line?

a)

Right, rectangular prism

b)

Right, circular cylinder

c)

Right, oval cylinder

d)

Right, square prism

119.

Which 2-D shape could be revolved about the vertical line to create the 3-D solid?

a)
b)
c)
d)
120.

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

a)

A

b)

B

c)

C

d)

D

121.

Identify the cross section.

a)
b)
c)
d)