Free Printable Geometry Final 2025 C

1.

Match the following triangles with their correct definition.

a)

1.

all sides are the same length.

b)

2.

Has at least 2 equal sides.

c)

3.

Has no equal sides.

d)

4.

Has one right angle

e)

5.

Has 3 acute angles

2.

What is the missing Angle?

4 lines

3.

What is the missing Angle?

4 lines

4.

Can the following 3 numbers be side measures of a triangle

7, 5, 4

a)

Yes

b)

No

5.

Can the following 3 numbers be side measures of a triangle

5, 2, 4

a)

Yes

b)

No

6.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

7.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

8.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

9.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

10.

Find the scale factor going from the small triangle to the larger triangle

a)

3

b)

1/3

c)

2

d)

5

11.

Find the scale factor from triangle PQR to triangle DEF

a)

1.5

b)

2/3

c)

.6

d)

2

12.

Are the triangles similar?

a)

yes

b)

no

13.

Are the triangles similar?

a)

yes

b)

no

14.

Find the missing side

a)

24

b)

36

c)

12

d)

15

15.

Find the missing side

a)

1/3

b)

3

c)

1/2

d)

2

16.

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree’s shadow is 32 feet long. What is the height of the tree?

a)

20 feet

b)

24 feet

c)

29 feet

d)

51 feet

17.

Give the most precise classification for the quadrilateral.

a)

parallelogram

b)

rhombus

c)

trapezoid

d)

rectangle

18.

Give the most precise classification for the quadrilateral.

a)

parallelogram

b)

rhombus

c)

square

d)

rectangle

e)

kite

19.

Give the most precise classification for the quadrilateral.

a)

parallelogram

b)

rhombus

c)

kite

d)

rectangle

20.

Give the most precise classification for the quadrilateral.

a)

parallelogram

b)

isosceles trapezoid

c)

rectangle

d)

trapezoid

e)

kite

21.

Which two angles are alternate exterior?

a)

1 & 3

b)

2 & 6

c)

4 & 7

d)

7 & 1

22.

Which two angles are corresponding?

a)

4 and 8

b)

4 and 6

c)

1 and 2

d)

2 and 8

23.

If angle 2 is 70 degrees, what is the measure of angle 1?

a)

70 degrees

b)

20 degrees

c)

110 degrees

d)

180 degrees

24.

If angle 2 is 70 degrees, what is the measure of angle 4?

a)

70

b)

110

c)

20

d)

180

25.

Find x.

a)

130

b)

50

26.

Find the value of x.

a)

x = 133

b)

x = 47

27.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

28.

∠A and ∠D are in what relationship?

a)

Supplementary

b)

Vertical

c)

Alternate Interior

d)

Alternate exterior

29.

$\angle5$ and $\angle6$ are ____________________.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

30.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a² + b² = c²

c)

a² + b² + c²

d)

A = LW

31.

What letter represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

32.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

33.

Find the length of the missing side.

a)

48 in.

b)

50 in.

c)

16 in.

d)

24 in.

34.

What is the surface area?

a)

164 in²

b)

82 in²

c)

120 in³

d)

164 in³

35.

What is the volume?

a)

14 ft ²

b)

54 ft²

c)

54 ft³

d)

102 ft³

36.

What is the surface area of the cylinder?

a)

176π cm²

b)

376.8 cm³

c)

376.8 cm²

d)

120π cm²

37.

Find the volume of the Triangular Prism.

a)

960 cm³

b)

240 cm³

c)

480 cm³

d)

1920 cm³

38.

Find the volume of Rectangular Pyramid.

a)

190cm³

b)

200cm³

c)

140cm³

d)

192cm³

39.

Find the volume of the Triangular Pyramid. Round to the nearest whole number.

a)

317 units³

b)

635 units³

c)

1,904 units³

d)

890 units³

40.

Which of the following shape is convex polygon? Choose all that apply.

a)

b)

c)

d)

e)

41.

Convex or Concave?

a)

Convex

b)

Concave

42.

Is this polygon concave or convex?

a)

Concave

b)

Convex

43.

What is the formula for the sum of the interior angles of polygons?

a)

$360\degree$

b)

$\left(n-2\right)\times180\degree$

c)

$\left(n-2\right)$

d)

$\left(n+2\right)\times180\degree$

44.

Find the sum of the interior angles of a nonagon.

a)

1260

b)

900

c)

1620

d)

180

45.

Find the measure of angle E.

a)

9

b)

97°

c)

48°

d)

79°

46.

A polygon's interior angles add up to 2700. How many sides does the polygon have?

a)

17

b)

15

c)

19

d)

11

47.

Find the value of the variable(s).

a)

x = 88

b)

x = 176

c)

x = 90

d)

x = 174

48.

What is the value of x?

a)

26.25

b)

38.75

c)

24

d)

25.125

49.

Are the two triangles congruent? If they are, select the correct congruence postulate. If there is not enough information, select N/A.

a)

SAS

b)

HL

c)

N/A

d)

SSS

50.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

51.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

52.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

53.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

54.

What is the correct congruence statement? ΔDEC ≅________

a)

ΔAEB

b)

ΔEAB

c)

ΔBEA

d)

Not Congruent

55.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

56.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

57.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

HL

58.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

59.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

Not Possible

c)

SSS

d)

ASA

60.

Use the congruency statement to answer the following:
<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

61.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

Not Possible

c)

SAS

d)

SSA

62.

Which of the following cannot be used to prove triangles congruent?

a)

ASA

b)

AAA

c)

SSS

d)

SAS

63.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

64.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

65.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

66.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

67.

Determine if the two triangles are congruent. If they are, state the postulate.

a)

SAS

b)

AAS

c)

Not enough information

d)

SSS

68.

Which of the following cannot be used to prove triangles congruent?

a)

ASA

b)

SSA

c)

SSS

d)

SAS

69.

Give the reason for similarity

a)

AA

b)

SAS

c)

SSS

d)

Not similar

70.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar

71.

Determine whether the triangles are similar or not. If so, state how they are similar.

a)

Yes, by AA Similarity

b)

Yes, by SAS Similarity

c)

Yes, by SSS Similarity

d)

No, not similar

72.

Are these triangles similar? If so, by what similarity theorem and what is the similarity statement?

a)

Yes, AA~, ΔXYZ~ΔNEW

b)

Yes, AAA~, ΔXZY~ΔNWE

c)

No, these aren't similar.

d)

Yes, AA~, ΔYZX~ΔNWE

73.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

74.

Give the appropriate theorem or postulate that can be used to prove the triangles similar:

a)

AA Postulate

b)

ASA Postulate

c)

SSS Postulate

d)

SAS Postulate

75.

Are the triangles similar?

a)

Yes

b)

No

76.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

a)

congruent, proportional

b)

proportional, congruent

c)

congruent, congruent

d)

proportional, proportional

77.

Find missing side

a)

5

b)

7

c)

9

d)

11

78.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

79.

Complete each proportion.
CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

80.

Complete each proportion.
AB / BM = ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

81.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

82.

Find the missing length indicated.

a)

6

b)

10

c)

5

d)

12

83.

Find the missing length indicated.

a)

30

b)

25

c)

45

d)

50

84.

Solve for x.

a)

25

b)

10

c)

-10

d)

-25

85.

What is the SUM of the angle measures in a nonagon (9 sides)?

a)

1440°

b)

900°

c)

1080°

d)

1260°

86.

What is the measure of ONE interior angle in a regular pentagon (5-sides)?

a)

90°

b)

108°

c)

120°

d)

180°

87.

What is the sum of exterior angles for a 27-gon?

a)

4860

b)

4500

c)

360

d)

270

88.

What is the sum of interior angles for a 27-gon?

a)

4860

b)

4500

c)

3700

d)

2700

89.

What is the sum of the exterior angles in a decagon?

a)

10

b)

360

c)

36

d)

1440

90.

Find the measure of one exterior angle of a regular 18-gon.

a)

160°

b)

360°

c)

20°

d)

2280°

91.

Find the sum of the interior angles of the polygon.

a)

720°

b)

900°

c)

1080°

d)

1260°

92.

The figure is a parallelogram.
Solve for x.

a)

1

b)

11

c)

7

d)

6

93.

The figure is a parallelogram.
Solve for x.

a)

7

b)

1

c)

5

d)

2

94.

The opposite sides of a parallelogram are...

a)

congruent

b)

perpendicular

c)

skew

d)

supplementary

95.

The opposite angles of a parallelogram are ...

a)

complementary

b)

congruent

c)

supplementary

d)

perpendicular

96.

Find the measure of angle b.

a)

b = 51

b)

b = 129

97.

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

a)

10

b)

11

c)

7

d)

5

98.

Parallelograms are ...

a)

triangles

b)

quadrilaterals

c)

pentagons

d)

hexagons

99.

In a parallelogram, consecutive angles are __________.

a)

congruent

b)

supplementary

c)

corresponding

d)

parallel

100.

In a parallelogram, diagonals __________.

a)

are perpendicular

b)

bisect each other

c)

are congruent

d)

are parallel

101.

The figure is a parallelogram.
Solve for x.

a)

1

b)

10

c)

4

d)

5

102.

What is the value of x?

a)

132

b)

66

c)

114

d)

48

103.

The figure is a parallelogram.
Solve for x.

a)

1

b)

8

c)

2

d)

6

104.

What is the measure of angle 2 in the parallelogram?

a)

115

b)

50

c)

15

d)

2

105.

What is the area of a regular octagon having an apothem of 13.3 meters and a side length of 11 meters?

a)

585.2 m²

b)

1170.4 m²

c)

292.6 m²

d)

2340.8 m²

106.

Find the area of the following polygon.

a)

108 u²

b)

1782 u²

c)

445 in²

d)

891 in²

107.

Find the area of the following polygon.

a)

15 in²

b)

240 in²

c)

120 in²

d)

20 in²

108.

Find the area of this regular polygon

a)

81.8 m²

b)

204.4 m²

c)

408.8 m²

d)

40.8 m²

109.

What is the area?

a)

24 cm²

b)

48 cm²

c)

120 cm²

d)

240 cm²

110.

Find the area.

a)

12.75

b)

191.25

c)

19.125

d)

95.625

111.

Find the area.

a)

50.4

b)

700.56

c)

100.08

d)

1401.12

112.

Find the area of the hexagon

a)

300√3

b)

519.62

c)

600√3

d)

100√2

113.

Find the area

a)

96 cm²

b)

48 cm²

c)

36 cm²

d)

48 cm

114.

Which of the following are considered special right triangles?

a)

30-60-90

b)

45-45-90

c)

20-70-90

d)

40-50-90

115.

The (a) of a right triangle create the (b) and the (c) is always the (d) side.

Choose from the below words

legs

right angle

hypotenuse

longest

shortest

acute angle

diagonal

116.

What is the value of y?

a)

$5\sqrt[]{2}$

b)

$10$

c)

$5$

d)

$5\sqrt[]{6}$

e)

$None\ of\ these$

117.

What is the value of x?

a)

$5\sqrt[]{2}$

b)

$10$

c)

$5$

d)

$5\sqrt[]{6}$

e)

$None\ of\ these$

118.

What is the value of x?

a)

$7$

b)

$14\sqrt[]{3}$

c)

$14$

d)

$\frac{7\sqrt[]{3}}{2}$ $.$

e)

$None\ of\ these$

119.

What is the value of y?

a)

$7$

b)

$14\sqrt[]{3}$

c)

$14$

d)

$\frac{7\sqrt[]{3}}{2}$ $.$

e)

$None\ of\ these$

120.

What is the value of y? Value only, no y =

121.

What is the value of x? Value only, no x =

122.

What is the value of x? Value only, no x =

123.

What is the value of y? Value only, no y =

124.

What is the value of a? Value only, no a =

125.

What is the value of m? Value only, no m =

126.

Match the following for finding sides in a 30-60-90 right triangle.

a)

Short Leg

1.

Half of the hypotenuse

b)

Hypotenuse

2.

Double the short leg

c)

Long Leg

3.

Short leg times square root of 3

127.

In a 45-45-90 right triangle, to find the measure of a leg, you take the (a) and (b) by (c) .

Choose from the below words

hypotenuse

divide

$\sqrt[]{2}$

\sqrt[]{3}

2

multiply

short leg

long leg

128.

In a 30-60-90 right triangle, to find the measure of the long leg, you take the (a) and (b) by (c) .

Choose from the below words

$\sqrt[]{2}$

\sqrt[]{3}

2

multiply

short leg

long leg

divide

hypotenuse

129.

Match the following for a 30-60-90 right triangle

a)

Short Leg

1.

Opposite the 30° angle.

b)

Long Leg

2.

Opposite the 60° angle.

c)

Hypotenuse

3.

Opposite the right angle.

130.

In a 45-45-90 right triangle, how many sides are the same size?

a)

None

b)

Two

c)

All 3

d)

Depends on the triangle

131.

If you know the value of the hypotenuse in a 45-45-90 right triangle, how would you find the measure of a leg?

a)

Divide by the square root of 2

b)

Divide by the square root of 3

c)

Multiply by 2

d)

Divide by 2

e)

None of these

132.

If you knew the value of the hypotenuse of a 30-60-90 right triangle, how would you find the measure of the long leg?

a)

Divide by the square root of 3

b)

Multiply by the square root of 3

c)

Divide by 2

d)

Multiply by 2

e)

None of these

133.

Label each of the following.

a)

Short Leg

b)

Long Leg

c)

Hypotenuse

1

2

3

1)

2)

3)

134.

Write the equation of the circle with centre at the origin (0, 0) and a radius of 10

a)

$x^2+y^2=10$

b)

$x^2+y^2=5$

c)

$x^2+y^2=100$

d)

$x^2+y^2=25$

135.

Write the equation of the circle with centre at (2, 3) and a radius of 5.

a)

$\left(x-2\right)^2+\left(y-3\right)^2=25$

b)

$\left(x-2\right)^2+\left(y+3\right)^2=5$

c)

$\left(x+2\right)^2+\left(y-3\right)^2=25$

d)

$\left(x-2\right)^2+\left(y-3\right)^2=5$

136.

Write the equation of the circle with centre at (-2,4) and a radius of 6.

a)

$\left(x-2\right)^2+\left(y-4\right)^2=36$

b)

$\left(x+2\right)^2+\left(y+4\right)^2=36$

c)

$\left(x+2\right)^2+\left(y-4\right)^2=36$

d)

$\left(x-2\right)^2+\left(y-4\right)^2=6$

137.

Write the equation of the circle with centre at (3, -7) and a radius of 4.

a)

$\left(x-3\right)^2+\left(y+7\right)^2=16$

b)

$\left(x-3\right)^2-\left(y+7\right)^2=16$

c)

$\left(x+3\right)^2+\left(y-7\right)^2=16$

d)

$\left(x+3\right)^2+\left(y-7\right)^2=4$

138.

Which of the following is the correct equation for a circle given the centre (h, k) and radius the radius r units.

a)

$\left(x+h\right)^2+\left(y+k\right)^2=r^2$

b)

$\left(x-h\right)^2+\left(y-k\right)^2=r^2$

c)

$\left(x-k\right)^2+\left(y-h\right)^2=r^2$

d)

$\left(x-h\right)+\left(y-k\right)=r$

139.

What are the coordinates of the center and the radius of the circle with an equation:
(x + 7)² + (y - 6)² = 64 ?

a)

Centre (7,-6)
Radius = 8 units

b)

Centre (-7,6)
Radius = 64 units

c)

Centre (-7,6)
Radius = 8 units

d)

Centre (7,-6)
Radius = 64 units

140.

$\left(x+7\right)^2+\left(y-8\right)^2=25$ What is the coordinate of the centre of this circle?

a)

(-7, 8)

b)

(7, -8)

c)

(7, 8)

d)

(-7, -8)

141.

**Which of the following is the equation of the circle having these conditions:

Centre at (5, -6) and tangent to the x-axis.

a)

(x + 5)² + (y - 6)² = 36

b)

(x - 5)² + (y + 6)² = 36

c)

(x - 5)² + (y + 6)² = 25

d)

(x + 5)² + (y - 6)² = 25

142.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

143.

What are the coordinates of the center and the radius of the circle with equation (x - 4)² + (y - 3)² = 25 ?

a)

Center (4, 3)

Radius = 5 units

b)

Center (4, 3)

Radius = 25 units

c)

Center (-4, -3)

Radius = 25 units

d)

Center (-4, -3)

Radius = 5 units

144.

Write the standard equation of the circle with the given center and radius; center (0, 0) and radius of 3.

a)

x²+ y²= 4

b)

x²+ y²= 81

c)

x²+ y²= 9

d)

x²+ y²= 3

145.

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

146.

What is the radius of the circle given by the equation (x - 7)² + (y + 3)² = 25?

a)

3

b)

5

c)

10

d)

25

147.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

148.

What is the radius of the circle with equation x² + y² = 1?

a)

0

b)

0.5

c)

1

d)

2

149.

Write the equation of the circle with center C( -5 , 8 ) and radius = 7

a)

( x - 5 )² + ( y + 8 )² = 14

b)

( x - 5 )² + ( y - 8 )² = 49

c)

( x - 5 )² + ( y + 8 )² = 49

d)

( x + 5 )² + ( y - 8 )² = 49

150.

Which graph corresponds to
(x-8)²+ (y+2)²=

a)

A

b)

B

c)

C

d)

D

151.

What is the equation of the circle, with centre (-4,5) and radius 6 units?

a)

(x - 4)² + (y + 5)² = 6

b)

(x - 4)² + (y + 5)² = 36

c)

(x + 4)² + (y - 5)² = 6

d)

(x + 4)² + (y - 5)² = 36

152.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

153.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

154.

In the equation (x-4)²+(y-3)²=25, the radius is

a)

4

b)

3

c)

5

d)

25

155.

In the equation (x-3)²+(y-2)²=16, the radius of the circle is...

a)

16

b)

32

c)

3

d)

4

156.

In the equation (x+2)²+(y-3)²=4, the center of the circle is at...

a)

(-2, 3)

b)

(-3, 2)

c)

(2, -3)

d)

(3, -2)

157.

In the equation (x-4)²+(x-3)²=25, the center of the circle is at...

a)

(-3, -4)

b)

(4, 3)

c)

(-4, -3)

d)

(3, 4)

158.

In the equation (x+2)²+(y+3)²=49, the center of the circle is at....

a)

(2, 3)

b)

(3, 2)

c)

(-3, -2)

d)

(-2, -3)

159.

In the equation (x-3)²+(y+4)²=121, the center of the circle is at...

a)

(3, -4)

b)

(-3, 4)

c)

(4, 3)

d)

(-4, -3)

160.

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

a)

242

b)

11

c)

121

d)

22

161.

C is the center of the circle shown below. What is the equation of circle C?

a)

b)

c)

d)

162.

Which of the following graphs match the equation:

a)

b)

c)

d)

163.

What is the acronym to help you remember the ratios to use in trigonometry?

a)

RIGHTANG

b)

SOHCAHTOA

c)

SHOCHATOA

164.

What leg is considered the hypotenuse?

a)

Any side

b)

the side opposite the smallest angle

c)

the side opposite the right angle

d)

the side opposite the shortest leg

165.

What type of triangles do you use the trig ratios with?

a)

any type

b)

right triangle

c)

obtuse triangle

d)

acute triangle

166.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

167.

Find cosA

a)

30/16

b)

30/34

c)

30/15

d)

16/34

168.

Find sinA

a)

32/40

b)

32/24

c)

24/40

d)

24/32

169.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

15.1 cm

b)

15.2 cm

c)

10.1 cm

d)

10.2 cm

170.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

3.8 cm

b)

28.8 cm

c)

3.9 cm

d)

3.6 cm

171.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

5.7 cm

b)

5.8 cm

c)

17.1 cm

d)

8.6 cm

172.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

8.7 cm

b)

10.2 cm

c)

12.3 cm

d)

8.6 cm

173.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

174.

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

a)

33°

b)

49°

c)

39°

d)

41°

175.

Which trig equation would you use to find the measure of the indicated angle (?)

a)

$\tan\left(\theta\right)=\frac{5}{4}$

b)

$\sin\left(\theta\right)=\frac{4}{5}$

c)

$\cos\left(\theta\right)=\frac{5}{4}$

d)

$\cos\left(\theta\right)=\frac{4}{5}$

176.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

177.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

178.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

179.

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

180.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

181.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

182.

Find the missing angle θ

a)

27.98^o

b)

29.24^o

c)

26.75^o

d)

45^o

183.

What equation can be used to solve for x?

a)

Sin(40°)= x/40

b)

Sin(40º)=x/19

c)

Cos(40º)=x/19

d)

Tan(40°)=19/x

184.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

185.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

186.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

187.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

188.

a)

.75

b)

.6

c)

1.25

d)

45/27

189.

a)

14/48

b)

.96

c)

.28

d)

48/14

190.

Give the Ratio for SIN X

a)

Opp/Adj

b)

Adj/Hyp

c)

Opp/Hyp

d)

Adj/Opp

191.

Give the Ratio for COS X

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

192.

Find the measurement of the missing side indicated

a)

4.39

b)

3.21

c)

2.19

d)

2.05

193.

Choose the correct ratio.

a)

cos(33^o)=x/14

b)

sin(33^o)=x/14

c)

cos(33^o)=14/x

d)

sin(33^o)=14/x

194.

How do you know which side is the OPPOSITE?

a)

It is next to the right angle

b)

It is opposite the right angle

c)

It is opposite the angle

d)

It is the bottom leg of the triangle

195.

a)

9/41

b)

40/41

c)

9/40

d)

3/10

196.

Find the measure of the indicated angle.

a)

9.39

b)

55.2

c)

20.2

d)

19.4

197.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

198.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

199.

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

a)

32°

b)

44°

c)

61°

d)

50°

200.

Find the measure of the indicated angle.

a)

9.39

b)

55.2

c)

20.2

d)

19.4

201.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

202.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

203.

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

a)

32°

b)

44°

c)

61°

d)

50°

204.

Solve for the missing angle.

a)

50.2^o

b)

93.1^o

c)

12.6^o

d)

42.2^o

205.

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

a)

33°

b)

49°

c)

39°

d)

41°

206.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

207.

Sam views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19^o

b)

45^o

c)

71^o

d)

138^o

208.

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

a)

4.1 inches

b)

3.9 inches

c)

22.7 inches

d)

0.7 inches

209.

A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?

a)

66 degrees

b)

80 degrees

c)

30 degrees

d)

19 degrees

210.

Find the surface area of the following figure

(do not include units)

211.

What is the volume of this prism?

(do not include units)

212.

What is the volume of this prism?

(do not include units)

213.

How many square inches of cardboard are needed to make this cereal box?

(do not include units)

214.

In the formula V=Bh, what B stand for? (a)

Choose from the below words

Base

Area

Area of the base

height

215.

What is surface area?

a)

The measure of the amount of space inside of a solid figure

b)

The sum of all the areas of all the shapes that cover the object

216.

What is the volume?

___ $ft^3$

217.

What shape is this?

a)

Cylinder

b)

Cone

c)

Rectangular Prism

d)

Sphere

e)

Triangular Prism

218.

What is the total surface area of this shape?

a)

S = 4222.3

b)

S= 1709

c)

S= 208

d)

S= 416

e)

S = 32

219.

If you wanted to know how many cheerios could fit inside of the box you would be finding the _______

a)

volume

b)

surface area

220.

Find the volume of this triangular prism.

a)

1440 cm³

b)

60 cm³

c)

720 cm³

d)

180 cm³

221.

Find the volume of the Cylinder

a)

7230

b)

6621

c)

1130

d)

907

222.

Find the volume.

a)

364 cm³

b)

1,092 cm³

c)

546 cm³

d)

182 cm³

223.

Find the volume.

a)

160 cm³

b)

80 cm³

c)

240 cm³

d)

800 cm³

224.

Find the volume.

a)

544 in³

b)

768 in³

c)

990 in³

d)

330 in³

225.

Find the volume.

a)

408 ft³

b)

4,352 ft³

c)

2,176 ft³

d)

544 ft³

226.

Find the volume.

a)

136.08 in³

b)

115.2 in³

c)

216.75 in³

d)

43.56 in³

227.

What is the volume, in cubic inches, of the cone?

a)

33.49

b)

133.97

c)

401.92

d)

267.95

228.

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

a)

157.1 $m^3$

b)

31.4 $m^3$

c)

471.2 $m^3$

d)

208.6 $m^3$

229.

Calculate the amount of ice cream this cone can hold (just to the top of the cone). Round to the nearest hundredth.

***Remember to take half of the diameter to get the radius.***

a)

58.29 cm²

b)

58.29 cm³

c)

233.15 cm²

d)

233.15 cm³

230.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

12.56 ft³

b)

37.68 ft³

c)

18.84 ft³

d)

6.28 ft³

231.

Find the volume to the nearest whole number using 3.14 instead of Pi.

a)

151 ft³

b)

152 ft³

c)

150 ft³

d)

150.72 ft³

232.

What are the flat surfaces that make up the polyhedron called?

a)

Faces

b)

Edges

c)

Vertices

d)

Angles

233.

What are the line segments where two faces meet called?

a)

Edges

b)

Vertices

c)

Angles

d)

Surfaces

234.

What are the points where edges intersect called?

a)

Vertices

b)

Angles

c)

Edges

d)

Faces

235.

Look at the shape shown. Is this a Prism?

a)

FALSE

b)

TRUE

236.

Look at the shape shown. Is this a Prism?

a)

TRUE

b)

FALSE

237.

Is this a Prism?

a)

FALSE

b)

TRUE

238.

In the diagram of the pyramid, what is the name of the point where all the triangular faces meet?

a)

Base

b)

Apex

c)

Side

239.

The Faces of any Pyramid are ________.

a)

Triangles

b)

Rectangle

c)

Squares

240.

The Faces of any Prism are ________.

a)

Triangles

b)

Rectangle

c)

Circles

241.

Which solids are Pyramids? (multiple answers)

a)

b)

c)

d)

242.

Is this a Pyramid?

a)

True

b)

False

243.

Is this a Pyramid?

a)

True

b)

False

244.

What is the name of this Polyhedron?

a)

Rectangular Prism

b)

Cylinder

c)

Rectangular Pyramid

d)

Sphere

245.

Which best describes this solid?

a)

Triangular Prism

b)

Rectangular Prism

c)

Triangular Pyramid

246.

A Rectangular Prism could be best described as a ...

a)

[Image of a pink triangular pyramid]

b)

[Image of a green triangular pyramid]

c)

[Image of a blue triangular pyramid]

247.

Which one is not a Prism or Pyramid?

a)

[Image of a green pyramid]

b)

[Image of a blue rectangular prism]

c)

[Image of a yellow cylinder]

d)

[Image of a purple hexagonal prism]

248.

This is the Net of which 3D solid?

a)

b)

c)

[Image of a square pyramid]

249.

Which Net best describes a Triangular Prism?

a)

b)

[Image of net with four triangles]

c)

[Image of a star shape]

250.

The Net shown would best match...

a)

b)

(Image of a cone)

c)

(Image of a pyramid)

d)

(Image of a sphere)

251.

Match the following:

a)

1.

Square Pyramid

b)

2.

Pentagonal Prism

c)

3.

Cone

d)

4.

Cube

e)

5.

Sphere

252.

When was the war of 1812?

(a)

253.

Have you ever heard anyone say, "I'll be there in a jiffy!"? How long is a jiffy?

a)

10 seconds

b)

1 second

c)

1/10 of a second

d)

1/100 of a second

254.

What is this device called?

a)

A slide rule.

b)

A Pascal calculator.

c)

An abacus.

d)

Pythagoras's Playtoy.

255.

What is the only number that has the same number of letters as it’s meaning?

a)

4

b)

5

c)

6

d)

7

256.

What is a Blue Moon?

a)

A moon that is blue in color due to a volcanic eruption

b)

The 2nd of 2 full moons in a single calendar month

c)

The name of a full moon if it lands on the winter solstice

d)

The name of a full moon if it lands on the spring equinox

257.

It takes the Earth _______ days to travel all the way around the Sun.

a)

28

b)

100

c)

24

d)

365

258.

What is the billionth digit of pi?

a)

1

b)

0

c)

5

d)

9

259.

Continue this pattern: 144, 121, 100, 81, 64

a)

23

b)

29

c)

43

d)

49

260.

How many feet in a mile?

a)

1042

b)

1492

c)

5280

d)

6400

261.

What is the only number with letters in alphabetical order when spelled out.

a)

40

b)

60

c)

80

d)

100

262.

According to Schoolhouse Rock, what's the magic number?

a)

3

b)

4

c)

5

d)

6

263.

How many years in a score?

a)

20

b)

25

c)

50

d)

75

264.

How many lines in a sonnet?

a)

8

b)

10

c)

12

d)

14

265.

How many squares are there on a checker board?

a)

36

b)

48

c)

64

d)

96

266.

How many queen bees in a hive?

a)

1

b)

2

c)

4

d)

8

267.

How many degrees in a circle?

a)

90

b)

100

c)

180

d)

360

268.

¿Cuál es el tercer número en Pi?

What is the third number in Pi?

a)

1

b)

3

c)

4

d)

6

269.

¿Cuántos artículos hay en la docena del panadero?

How many items are in a baker's dozen?

a)

11

b)

12

c)

13

d)

24

270.

¿Cuántos elementos hay en la Tabla Periódica?

How many elements are on the Periodic Table?

a)

57

b)

100

c)

118

d)

153

271.

How many miles is a earth from the sun?

a)

92.96 million

b)

100.00 million

c)

91.50.million

d)

10,000 million

272.

What is the longest river in the world?

a)

The Nile

b)

The Mississippi

c)

The Amazon

d)

The Red

273.

From 0 to 1000, what is the smallest positive whole number containing letter "a"?

(a)

274.

What is the only number that is twice the sum of its digits?

a)

18

b)

123

c)

10001

d)

45

275.

What vowel is in every odd number?

(a)

276.

How many sides does a typical snowflake have?

a)

2

b)

3

c)

6

d)

8

277.

There is one in me. Two in a meeting. Three in an element. What is it?

a)

m

b)

t

c)

n

d)

e

278.

What is the number of the parking spot occupied by the car in the diagram?

a)

98

b)

89

c)

78

d)

87

279.

How many total squares are there in this picture?

a)

9

b)

10

c)

12

d)

14

280.

What shape should be in the top brick?

a)

Triangle

b)

Hexagon

c)

Pentagon

d)

Octagon

Geometry Final 2025 C

Total questions: 280

Worksheet time: 14hrs 23mins

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