Free Printable GEOMERTRY FINAL EXAM REVIEW SEMESTER 2

1.

What is the measure of arc WYZ?

a)

231

b)

255

c)

168

d)

200

2.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

3.

What similarity theorem would prove that these triangles are similar?

a)

AA similarity

b)

SAS similarity

c)

SSS similarity

d)

they aren't similar

4.

Find the value of the angle marked x....

a)

50

b)

100

c)

80

d)

90

5.

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

6.

Solve for x.

a)

140

b)

89

c)

51

d)

38

7.

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

8.

Which graph corresponds to

(x+2)²+ (y-3)²=36

a)

A

b)

B

c)

C

d)

D

9.

A square prism has the same height and volume as the triangular prism shown. What are the dimensions of the square prism?

a)

$\sqrt[]{6}\times\sqrt[]{6}\times15$

b)

$6\times6\times15$

c)

$\sqrt[]{3}\times\sqrt[]{3}\times15$

d)

$3\times3\times15$

10.

Find the surface area of the cone.

a)

100π cm²

b)

50π cm²

c)

200π cm²

d)

150π cm²

11.

Find the volume of the cone.

a)

100π cm³

b)

480π cm³

c)

960π cm³

d)

320π cm³

12.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, SSS

b)

Yes, SAS

c)

Yes, AA

d)

Not similar.

13.

Which equation can be used to solve for x?

a)

x² - 14² = 20²

b)

14² + 20² = x²

c)

x² - 20² = 14²

d)

x² + 14² = 20²

14.

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

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

15.

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

a)

sine

b)

cosine

c)

tangent

d)

inverse cosine

16.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

17.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

18.

sin A = ?

a)

7/25

b)

24/25

c)

7/24

d)

25/7

19.

Name that shape.

a)

square

b)

square
rhombus

c)

quadrilateral
parallelogram
rhombus

d)

quadrilateral
parallelogram
square

20.

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

a)

10

b)

11

c)

7

d)

5

21.

A parallelogram is ________ a quadrilateral

a)

Sometimes

b)

Always

c)

Never

22.

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

23.

What does r represent in the formula:

A = π·r²

a)

circumference

b)

radius

c)

diameter

d)

squared

24.

Mrs. Wilson placed the welcome mat shown below on her front door step. What is the area of her welcome mat in square feet? Leave in terms of π.

a)

A = 2π

b)

A = 8π

c)

A = 10π

d)

A = 4π

25.

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

26.

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

a)

4

b)

2

c)

3

d)

16

27.

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

28.

What is this shape?

a)

cone

b)

cube

c)

pyramid

d)

sphere

29.

What shape is this?

a)

cone

b)

sphere

c)

cube

d)

cylinder

30.

What is the volume of a 3D shape?

a)

How loud it is.

b)

The space it occupies.

c)

The area of its faces.
The area of its faces.

d)

How tall it is.

31.

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

32.

How do you find the volume of a cylinder?

a)

V= B⋅h

b)

V=πr²

c)

V= l × w

d)

V= Ph+2B

33.

How many cones fit into a cylinder with the same base and height?

a)

4

b)

5

c)

2

d)

3

34.

How do you find the volume of a sphere?

a)

V= 4/3 πr³

b)

V= B⋅h

c)

V= ⅓B⋅h

d)

V=πr²

35.

Find the volume of the cube.

a)

1687.5mm³

b)

45mm³

c)

3,375mm³

d)

225mm³

36.

What shape is this?

a)

cylinder

b)

square pyramid

c)

cube

d)

rectangular prism

37.

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

38.

The rectangular prism in the picture is made up of unit cubes. What is the volume of prism?

a)

18 cubic units

b)

54 cubic units

c)

72 cubic units

d)

108 cubic units

39.

Find the length of side MV

a)

11

b)

$11\sqrt[]{2}$

c)

$11\sqrt[]{3}$

d)

22

40.

A tree casts a shadow that is 150 feet long. If the angle of elevation from the tip of the shadow to the top of the tree is $30\degree$ , how tall is the tree to the nearest foot?

41.

How would you find the value of y?

a)

$y=5\cos28\degree$

b)

$y=5\sin28\degree$

c)

$y=\frac{5}{\cos62\degree}$

d)

$y=\frac{5}{\sin62\degree}$

42.

In Parallelogram PQRS, the measure of angle Q is $122\degree$ . What is the measure of angle P in degrees?

43.

Which description does NOT guarantee that a quadrilateral is a parallelogram?

a)

A quadrilateral with both pairs of opposite sides congruent

b)

A quadrilateral with the diagonals bisecting each other

c)

A quadrilateral with consecutive angles supplementary

d)

A quadrilateral with only two opposite sides parallel.

44.

In the following polygon, determine the value of x in degrees.

45.

Match the regular polygon to it's corresponding exterior angle measure.

a)

$60\degree$

1.

Regular hexagon #beehive

b)

$120\degree$

2.

Equilateral Triangle

c)

$90\degree$

3.

Square (Dance?)

d)

$45\degree$

4.

Regular Octagon #stopsign

46.

In quadrilateral DEFG, find $m\angle D$ in degrees

47.

In the accompanying diagram of rectangle ABCD, $m\angle ABE=30\degree$ and $m\angle CFE=144\degree$ . Find $m\angle BEF$ in degrees

48.

Which of the following is always true of any rhombus ABCD?

a)

$\angle A\cong\angle B$

b)

$AB\perp BC$

c)

$AC\cong BD$

d)

$AC\perp BD$

49.

Determine the surface area of the prism. Round to the nearest whole number.

50.

Determine JM

a)

7

b)

16

c)

30

d)

23

51.

what is the radius of Circle N?

a)

15

b)

17

c)

30

d)

34

52.

The measure of $\angle ABC\ =\ 45\degree$ . The length of $BC=7$ inches. What is the area of the sector rounded to the nearest hundredth? Use 3.14 for $\pi$ .

53.

What is an equation for the circle?

a)

$\left(x-4\right)^2+\left(y-2\right)^2=9$

b)

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

c)

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

d)

$\left(x+4\right)^2+\left(y+2\right)^2=9$

54.

What is DF?

55.

In Circle C, $DE\cong FG$ . Which statement is not necessarily true?

a)

$arcDE\cong arcFG$

b)

$EF\cong ED$

c)

$\angle DCE\cong\angle GCF$

d)

$\Delta DCE\cong\Delta FCG$

56.

What is the value of x?

a)

3

b)

4.5

c)

6

d)

9

57.

A bag contains 40 marbles. Eight are green and two are blue. You select one marble at random. What is the probability that the marble is green or blue?

a)

0.2

b)

0.05

c)

0.25

d)

0.01

58.

Assume you roll a standard number cube two times. What is the probability of rolling an even number on the first roll and a number less than 3 on the second roll? Round to the nearest hundredth

a)

0.5

b)

0.33

c)

0.83

d)

0.17

59.

Find the value of x

60.

Given: WXYZ is an isosceles Trapezoid

Prove: $\angle XWY\cong\angle YZX$

1. WXYZ is an isosceles trapezoid because (a)

2. (b) because that's the definition of an isosceles trapezoid.

3. (c) because the diagonals of an Isosceles Trapezoid are congruent.

4. $XY\cong YX$ because of the (d)

5. $\Delta WYX\cong\Delta ZXY$ because (e)

6. $\angle XWY\cong\angle YZX$ because of CPCTC

Choose from the below words

given

$WX\cong ZY$

$WY\cong ZX$

Reflexive Property

SSS Congruence

61.

In kite DEFC, if $m\angle DCF=20\degree$ and $m\angle DEF=80\degree$ , find $m\angle CDE$

a)

$130\degree$

b)

$260\degree$

c)

$80\degree$

d)

$50\degree$

62.

What is the volume of the cylinder? Use 3.14 for $\pi$ . Round to the nearest whole number.

63.

The ratio of water to drink mix is 4 cups to 1 tablespoon. How much water will you need for 8 tablespoons of mix?

a)

32 cups

b)

2 cups

c)

16 cups

d)

12 cups

64.

A flight from Columbia to Pittsburgh is 448 miles and takes about 1.25 hours. What is the flight's rate of travel?

a)

560 miles per hour

b)

446.75 miles per hour

c)

358.4 miles per hour

d)

449.25 miles per hour

65.

Complete the similarity statement for the triangles shown. ∆ABC ~ ∆ (a)

66.

Identify the true statements for the pair of polygons shown. SELECT ALL THAT APPLY

a)

COLD ~ WMRA

b)

The similarity ratio for these polygons is 1 : 2

c)

The angles are not congruent, so the polygons are not similar.

d)

The sides are not proportional, so the polygons are not similar.

e)

COLD ~ WARM

67.

Identify the true statements for the pair of polygons shown. SELECT ALL THAT APPLY

a)

The sides are not proportional, so the polygons are not similar.

b)

The angles are not congruent, so the polygons are not similar.

c)

ABCD ~ UVWX

d)

ABCD ~ XUVW

e)

The similarity ratio for these polygons is 4 : 9

68.

The pair of polygons shown are similar. What is the scale factor of the smaller one to the larger one?

a)

3 : 8

b)

15 : 32

c)

4 : 5

d)

1 : 1

69.

The pair of polygons shown are similar. Find the indicated side measure.

a)

18.75

b)

12

c)

85.33

d)

16

70.

Find the value of x.

a)

3.3

b)

1.2

c)

7.5

d)

4

71.

Find the value of x.

a)

32.67

b)

6

c)

13.5

d)

16

72.

Find the value of b.

a)

5

b)

20

c)

14

d)

12.8

73.

Find QR.

a)

5

b)

6

c)

3

d)

12

74.

Given that segment AB is a midsegment of ∆XYZ, what is the value of x ? Type only the number for your answer

(a)

75.

Triangles ABC and DEF are similar. Which of the following equations could be used to find the value of x. There are two.

a)

$\frac{27}{13}=\frac{x}{21}$

b)

$\frac{13}{21}=\frac{27}{x}$

c)

$\frac{13}{21}=\frac{x}{27}$

d)

$\frac{x}{21}=\frac{13}{27}$

76.

If triangle DEF is a dilaton of triangle ABC, what was the scale factor used for the dilation?

a)

$\frac{27}{13}$

b)

$\frac{27}{21}$

c)

14

d)

$\frac{13}{27}$

77.

Drag the points to show the dilation of the line y = -1.5x + 6 about the origin with a scale factor of 3.

78.

Drag the points to show the dilation of the line y = -1.5x + 6 about the origin with a scale factor of 1/2.

79.

Triangle P'R'Q' is a dialtion of triangle PRQ with the center of the dilation at the origin. What is the scale factor used in the dilation?

(a)

80.

Triangle A'B'C' is a dilation of triangle ABC. What was the scale factor used in this dilation?

(a)

81.

Triangle A'B'C' is a dilation of triangle ABC. If the length of segment A'C' = 5.4, what is the length of segment AC?

(a)

82.

Plot the midpoint of the segment with endpoints (-6, 2) and (2,4).

Then, plot the endpoint of the segment with endpoint (-6, 2) and midpoint (2, 4).

83.

This student is using shadows to find the height of the tree. What scale factor could they use to find the height of the tree?

a)

22.7

b)

21.7

c)

2.5

d)

2

84.

This student is using shadows to find the height of the tree. What calculation could they use to find the height of the tree?

a)

$4.83\times22.7$

b)

$4.10\times22.7$

c)

$5.5\times22.7$

d)

$\frac{125}{22.7}$

85.

Line EC is parallel to segment AB so triangle DEC is similar to triangle DAB by what similarity postulate?

a)

AA Similarity

b)

SSS Similarity

c)

SAS Similiarity

d)

There is not enough information to show triangle similar.

86.

Triangle DEC is similar to triangle DAB. What equations could be used to find the value of x? There are three.

a)

$\frac{8}{16}=\frac{12}{x}$

b)

$\frac{12}{8}=\frac{x}{16}$

c)

$\frac{16}{8}=\frac{x}{12}$

d)

$\frac{8}{12}=\frac{x}{16}$

87.

Triangle DEC is similar to triangle DAB. What is the value of x?

(a)

88.

Triangle DEC is similar to triangle DAB. If EC = 14, what would be the length of segment AB?

a)

42

b)

28

c)

22

d)

24

89.

$\sqrt[]{75}=?$

a)

$5\sqrt[]{3}$

b)

$3\sqrt[]{5}$

c)

$5\sqrt[]{15}$

d)

$25\sqrt[]{3}$

90.

What equation could be used to find the length of side XY?

a)

$x=\sqrt[]{20^2+21^2}$

b)

$20^2+21^2=x^2$

c)

$20^2+x^2=21^2$

d)

$x=\sqrt[]{21^2-20^2}$

91.

What equation could be used to find the value of x?

a)

$x=\sqrt[]{14^2+9^2}$

b)

$14^2+9^2=x^2$

c)

$9^2+x^2=14^2$

d)

$x=\sqrt[]{14^2-9^2}$

92.

AB = _____

a)

8

b)

$\frac{16}{\sqrt[]{3}}$

c)

$\frac{16}{\sqrt[]{2}}$

d)

4

93.

AC = _____

a)

8

b)

$\frac{16}{\sqrt[]{3}}$

c)

$\frac{16}{\sqrt[]{2}}$

d)

$8\sqrt[]{3}$

94.

x = ____

a)

$\frac{16}{\sqrt[]{2}}$

b)

8

c)

$\frac{16}{\sqrt[]{3}}$

d)

$16\sqrt[]{2}$

95.

Which equations could be used to find the value of x? There are two.

a)

$\frac{17}{2}=\frac{x}{\sqrt[]{3}}$

b)

$\frac{x}{17}=\frac{\sqrt[]{3}}{2}$

c)

$\frac{17}{2}=\frac{x}{1}$

d)

$\frac{17}{1}=\frac{x}{\sqrt[]{3}}$

96.

Using the diagram, how would the tangent of angles APC and BPC compare?

a)

$\tan\left(\angle APC\right)=\tan\left(\angle BPC\right)$

b)

$\tan\left(\angle APC\right)>\tan\left(\angle BPC\right)$

c)

$\tan\left(\angle APC\right)<\tan\left(\angle BPC\right)$

d)

Not enough information.

97.

Match the following

a)

tanA

1.

5/12

b)

tanB

2.

12/5

c)

sinA

3.

5/13

d)

cosA

4.

12/13

98.

What calculations could be used to find the length of side AB? There are two.

a)

$AB=12\times\tan35\degree$

b)

$AB=\frac{12}{\tan35\degree}$

c)

$AB=12\times\tan55\degree$

d)

$AB=\frac{12}{\tan55\degree}$

99.

What calculation could be used to find the length of side BC?

a)

$BC=12\times\cos35\degree$

b)

$BC=\frac{12}{\cos35\degree}$

c)

$BC=12\times\sin35\degree$

d)

$BC=\frac{12}{\sin35\degree}$

100.

Find the distance from Okeechobee to Pahokee, rounded to the nearest tenth. Assume the units are in kilometers.

a)

28.2 km

b)

32 km

c)

23.5 km

d)

28.23 km

101.

Find the location midway from Okeechobee to Pahokee, rounded to the nearest tenth.

a)

(27.5, 26)

b)

(5.5, 13)

c)

(38.5, 45.5)

d)

(44, 32.5)

102.

If AB = 28.2, BC = 17.7 and CA = 31.5, is the triangle formed when connecting the three towns a right triangle?

a)

Yes!

b)

No!

c)

Not enough information.

103.

If AB = 28.2, BC = 17.7 and CA = 31.5, classify the triangle formed when connecting the three towns as acute, right or obtuse.

a)

Acute

b)

Right

c)

Obtuse

104.

The center of this circle is located at (2, 3). What is the radius of this circle?

a)

3

b)

9

c)

2.5

d)

2

105.

The center of this circle is located at (2, 3) and the radius of the circle is 3. Find an equation for this circle.

a)

$\left(x-2\right)^2+\left(y-3\right)^2=9$

b)

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

c)

$\left(x+2\right)^2+\left(y+3\right)^2=9$

d)

$\left(x-2\right)^2+\left(y-3\right)^2=6$

106.

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

107.

What is the surface area of this Cone?

Diameter: 12m

Slant Height: 13.2m

a)

$158.4\pi\ m^3$

or

$497.6\ m^3$

b)

$115.2\pi\ m^2$

or

$361.9\ m^2$

c)

$223.2\pi\ m^2$

or

$701.2\ m^2$

d)

$100\pi\ m^2$

or

$314.2\ m^2$

108.

a)

16 cubic units

b)

120 cubic units

c)

96 cubic units

d)

48 cubic units

109.

a)

$50\pi\ square\ units$

b)

$60\pi\ square\ units\$

c)

$48\pi\ square\ units\$

d)

$\frac{2\pi}{3}\ square\ units\$

110.

A circle has radius 10 centimeters. Suppose an arc on the circle has length $8\pi$ centimeters. What is the measure of the central angle whose radii define the arc?

a)

144 degrees

b)

$\frac{\pi}{2}\ radians$

c)

$\frac{4\pi}{5}\ radians$

d)

90 degrees

111.

Clare is flying a kite. She gets tired, so she stakes the kite into the ground. The kite is on a string that is 30 ft long and makes a 27 degree angle with the ground. How high is the kite?

a)

30 ft

b)

13.6 ft

c)

26.7 ft

d)

15.3 ft

112.

A triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem. What are the measures of the other 2 angles?

a)

45 degrees and 45 degrees

b)

26 degrees and 64 degrees

c)

28 degrees and 62 degrees

d)

30 degrees and 60 degrees

113.

a)

7 units

b)

6 units

c)

5 units

d)

4 units

114.

a)

$\frac{1}{2}$

b)

3

c)

4

d)

6

115.

a)

Angle CFE measures 50 degrees. Angle DEF measures 80 degrees.

b)

Angle CFE measures 95 degrees. Angle DEF measures 123 degrees.

c)

Angle CFE measures 57 degrees. Angle DEF measures 85 degrees.

d)

Angle CFE measures 265 degrees. Angle DEF measures 237 degrees.

116.

What is the measure of angle XWZ

a)

90 degrees

b)

70 degrees

c)

110 degrees

d)

180 degrees

117.

what is the measure of <LBF

a)

90

b)

100

c)

60

d)

30

118.

Find GA if GD=23

a)

26

b)

46

c)

23

d)

30

119.

Find LF if BL=6 and DF=9

a)

12

b)

14.71

c)

103

d)

10.8

120.

Find DF if LC=7 and LF=18

a)

12

b)

16.6

c)

275

d)

10.8

121.

Find LG if LC=8 and AG= 14

a)

112

b)

56

c)

16.1

d)

259

122.

Find the perimeter of Triangle EFG if EB = GD = 4 and FB = 5

a)

23

b)

26

c)

13

d)

52

123.

find the perimeter of EFGH if FG= 9 and GE= 15

a)

42

b)

21

c)

84

d)

15

124.

find EG if FG = 8, EH = x-1, and EG = x+1

a)

24

b)

17

c)

34

d)

8.5

125.

find GH if GH= y-4, EH = y+3, and EG = 35

a)

35

b)

7

c)

21

d)

42

126.

find m<FEH if m<FEH =z and m<FGH=4z

a)

36

b)

144

c)

49

d)

131

127.

find m<FGH if m<FEH =z and m<FGH=4z

a)

36

b)

144

c)

49

d)

131

128.

find m<FGH if m<FEH =(2x-1) and m<FGH=(5x+6)

a)

36

b)

144

c)

49

d)

131

129.

find m<FEH if m<FEH =(2x-1) and m<FGH=(5x+6)

a)

36

b)

144

c)

49

d)

131

130.

Change the following equation to standard form
x²+y²-4x+12y-8=0

a)

(x+2)²+(y-6)²=48

b)

(x-2)²+(y+6)²=48

c)

(x-6)²+(y-2)²=48

d)

(x+2)²+(y-6)²=48

131.

Change the following equation to standard form
x²+y²-4x+12y-8=0

a)

(x+2)²+(y-6)²=48

b)

(x-2)²+(y+6)²=48

c)

(x-6)²+(y-2)²=48

d)

(x+2)²+(y-6)²=48

132.

Determine the center and radius: x²+ y²+ 14x - 2y = -1

a)

center= (-7,2) radius= 3

b)

center= (-7,1) radius= 7

c)

center= (-4,1) radius= 5

133.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

134.

Complete the square for

x² - 12x + ____

a)

144

b)

36

c)

- 36

d)

24

135.

Find the missing value "c" to create a perfect square trinomial:
x² + 26x + ___

a)

13

b)

136

c)

169

d)

26

136.

Given the perfect square trinomial, identify the equivalent expression

x²+14x+49

a)

(x+14)²

b)

(x+49)²

c)

(x-7)²

d)

(x+7)²

137.

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)

138.

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)

139.

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

a)

x²+y²=4

b)

x²+y²=81

c)

x²+y²=9

140.

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

a)

(1, 1)

b)

(0, 0)

c)

not enough information

141.

According to the Triangle Angle Bisector Theorem, which proportion is set up correctly?

a)

$\frac{6}{x}=\frac{9}{15}$

b)

$\frac{9}{6}=\frac{15}{x}$

c)

$\frac{x}{6}=\frac{15}{9}$

d)

All of the above

142.

Find the missing length if the proportion is $\frac{12}{x}=\frac{20}{25}$

a)

25

b)

15

c)

6

d)

16

143.

Find the missing length.

a)

25

b)

20

c)

21

d)

15

144.

Solve for x.

a)

7

b)

6

c)

10

d)

3

145.

Solve for x if the proportion for solving it is.
$\frac{9}{6}=\frac{x+7}{8}$

a)

5

b)

10

c)

3

d)

8

146.

Solve for x if the proportion for solving it is
$\frac{9}{24}=\frac{15}{5x+10}$

a)

10

b)

9

c)

6

d)

5

147.

Solve for x.

a)

8

b)

4

c)

7

d)

5

148.

Solve for x.

a)

8

b)

7

c)

5

d)

10

149.

Which is the correct proportion for solving for x?

a)

$\frac{5x+5}{35}=\frac{16}{44}$

b)

$\frac{5x+5}{35}=\frac{16}{28}$

c)

$\frac{16}{44}=\frac{5x+5}{35}$

d)

no solution

150.

Solve for x.

a)

3

b)

10

c)

9

d)

7

151.

A tree casts a shadow that is 12 meters long. At the same time, a 2-meter tall person standing nearby casts a shadow that is 1.5 meters long. How tall is the tree?

a)

14

b)

8

c)

10

d)

16

152.

A flagpole casts a shadow that is 15 meters long. At the same time, a 3-meter tall person standing nearby casts a shadow that is 2 meters long. How tall is the flagpole?

a)

22.5

b)

18

c)

12

d)

10

153.

A ladder is leaning against a wall. The ladder is 5 meters long and the base of the ladder is 3 meters away from the wall. How high up the wall does the ladder reach?

a)

4 meters

b)

2 meters

c)

10 meters

d)

6 meters

154.

A building casts a shadow that is 30 meters long. At the same time, a 2-meter tall person standing nearby casts a shadow that is 1.5 meters long. How tall is the building?

a)

35

b)

25

c)

20

d)

40

155.

A tree casts a shadow that is 20 meters long. At the same time, a 4-meter tall person standing nearby casts a shadow that is 3 meters long. How tall is the tree?

a)

26.67

b)

16.67

c)

30

d)

10

156.

A flagpole casts a shadow that is 10 meters long. At the same time, a 2-meter tall person standing nearby casts a shadow that is 1 meter long. How tall is the flagpole?

a)

5

b)

15

c)

20

d)

25

157.

A ladder is leaning against a wall. The ladder is 8 meters long and the base of the ladder is 6 meters away from the wall. How high up the wall does the ladder reach?

a)

10 meters

b)

6 meters

c)

2 meters

d)

4 meters

158.

A building casts a shadow that is 40 meters long. At the same time, a 5-meter tall person standing nearby casts a shadow that is 2.5 meters long. How tall is the building?

a)

80

b)

100

c)

20

d)

60

159.

A tree casts a shadow that is 15 meters long. At the same time, a 3-meter tall person standing nearby casts a shadow that is 2 meters long. How tall is the tree?

a)

22.5

b)

18

c)

12

d)

10

160.

A flagpole casts a shadow that is 12 meters long. At the same time, a 2-meter tall person standing nearby casts a shadow that is 1 meter long. How tall is the flagpole?

a)

24

b)

36

c)

6

d)

18

161.

A ladder is leaning against a wall. The ladder is 10 meters long and the base of the ladder is 8 meters away from the wall. How high up the wall does the ladder reach?

a)

12 meters

b)

6 meters

c)

8 meters

d)

4 meters

162.

A building casts a shadow that is 50 meters long. At the same time, a 4-meter tall person standing nearby casts a shadow that is 2 meters long. How tall is the building?

a)

25

b)

100

c)

50

d)

75

163.

A tree casts a shadow that is 18 meters long. At the same time, a 3-meter tall person standing nearby casts a shadow that is 1.5 meters long. How tall is the tree?

a)

9

b)

6

c)

12

d)

36

164.

A flagpole casts a shadow that is 8 meters long. At the same time, a 2-meter tall person standing nearby casts a shadow that is 0.8 meters long. How tall is the flagpole?

a)

5

b)

15

c)

20

d)

10

165.

A ladder is leaning against a wall. The ladder is 12 meters long and the base of the ladder is 10 meters away from the wall. How high up the wall does the ladder reach?

a)

The ladder reaches 2*sqrt(11) meters up the wall.

b)

The ladder reaches 10 meters up the wall.

c)

The ladder reaches 5 meters up the wall.

d)

The ladder reaches 12 meters up the wall.

166.

Find the missing length.

a)

4

b)

10

c)

8

d)

12

167.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

168.

Find the missing length.

a)

6

b)

8

c)

5

d)

None of these

169.

Solve for x.

a)

10

b)

5

c)

7

d)

4

170.

Find the missing length.

a)

35

b)

28

c)

42

d)

13

171.

Which proportion would be correct in order to solve for x. (Hint: remember the side splitter theorem states the sides of the triangles are proportional)

a)

x/10 = 15/30

b)

x/10 = 45/30

c)

x/10 = 15/45

d)

x/10 = 30/15

172.

Find the value of x.

a)

4

b)

12

c)

8

d)

16

173.

Find the missing length indicated.

a)

5

b)

54

c)

3

d)

35

174.

Find the missing length indicated.

a)

8

b)

9

c)

25

d)

12

175.

Solve for x.

a)

4

b)

9

c)

3

d)

7

176.

Solve for x.

a)

9

b)

8

c)

5

d)

7

177.

Solve for x.

a)

9

b)

6

c)

10

d)

8

178.

Solve for x.

a)

8

b)

6

c)

5

d)

-8

179.

Find the value of x.

a)

x = 4.5

b)

x = 9

c)

x = 30

d)

x = 3

180.

All corresponding angles in similar figures are congruent.

a)

True

b)

False

181.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

182.

What is the side across from the right angle called?

a)

Leg

b)

Pythagoras

c)

Hypotenuse

d)

Altitude

183.

Which trig function would you use with this diagram?

a)

^Sin

b)

^Cos

c)

^Tan

d)

^Wha??

184.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

185.

What does SOH stand for

a)

hypotenuse over opposite

b)

adjacent over opposite
opposite over adjacent

c)

opposite over hypotenuse

d)

adjacent over adjacent

186.

What does CAH stand for

a)

cosine is the adjective over the hypotenuse.

b)

cosine is the adjacent side over the hypotenuse side.

c)

cosine is the adjacent side over the hippopotamus.

d)

cosine is the hypotenuse side over the adjacent side.

187.

Use a calculator to find sin 45.

a)

.707

b)

1

c)

.809

d)

1.4

188.

Use a calculator to find the cos 70.

a)

.12

b)

2.7

c)

.94

d)

.34

189.

Use the calculator to find tan 60

a)

.87

b)

1.7

c)

.5

d)

.11

190.

Use a calculator to find cos 0

a)

4

b)

3

c)

2

d)

1

191.

Use a calculator to find sin 100

a)

.98

b)

.17

c)

-5.6

d)

.76

192.

Find cosA

a)

30/16

b)

30/34

c)

30/15

d)

16/34

193.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

194.

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

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

195.

What is the side across from the right angle called?

a)

Leg

b)

Pythagoras

c)

Hypotenuse

d)

Altitude

196.

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

a)

any type

b)

right triangle

c)

obtuse triangle

d)

acute triangle

197.

What is the ratio for tangent?

a)

O/A

b)

A/O

c)

A/H

d)

O/H

198.

What is the ratio for sine?

a)

O/H

b)

H/A

c)

H/O

d)

O/A

199.

What is the ratio for cosine?

a)

H/A

b)

O/A

c)

A/H

d)

A/O

200.

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 across from the angle

d)

It is the bottom leg of the triangle

201.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

202.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

203.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

204.

What is the area of the rectangle?

a)

15 sq cm

b)

15 cm

c)

2

d)

16 cm

205.

What is the area of this rectangle?

a)

40 square centimeters

b)

45 square centimeters

c)

28 centimeters

d)

50 square centimeters

206.

Cooper used his ruler to measure the side of a square, as shown.
What is the area of the square?

a)

4 sq. in.

b)

8 sq. in.
8 sq. in.

c)

12 sq. in.

d)

16 sq. in.

207.

Find the Area of this triangle

a)

19.8 km²

b)

37.8 km²

c)

18.9 km²

d)

35 km²

208.

Find the area of the figure.

a)

10 cm²

b)

24 cm²

c)

12 cm²

d)

20 cm²

209.

Find the area of a triangle with a height of 4 mm and a base of 6 mm?

a)

5 mm squared

b)

6 mm squared

c)

12 mm squared

d)

24 mm squared

210.

What is the area?

a)

108 cm sq

b)

60 cm

c)

432 cm sq

d)

216 cm sq

211.

What is the area of the the composite figure?

a)

20 sq cm

b)

4 sq cm

c)

30 sq cm

d)

24 sq cm

212.

What is the area of the shaded region?

a)

350

b)

137.5

c)

212.5

d)

484.2

213.

What is the area of the shaded region?

a)

40 sq cm

b)

240 sq cm

c)

280 sq cm

d)

320 sq cm

214.

The corners of a rectangular fence are located at (2,2), (2,-4) and (-5,-4) on a coordinate plane. What are the coordinates of the fourth corner?

a)

(-5,8)

b)

(5,-2)

c)

(-5,2)

d)

(2,-5)

215.

What is the height of a triangle whose base is 6cm and area is 24 cm²?

a)

4 cm

b)

8 cm

c)

12 cm

d)

2 cm

216.

What is the distance between points (12,-2) and (6,-2)?

a)

4 units

b)

6 units

c)

8 units

d)

12 units

217.

What is the perimeter of the rectangle pictured?

a)

17 units

b)

20 units

c)

16 units

d)

15 units

218.

What is the area of the triangle in the picture?

a)

24 units²

b)

12 units²

c)

9 units²

d)

18 units²

219.

What is the area of the rectangle pictured?

a)

8 units²

b)

15 units²

c)

20 units²

d)

16 units²

220.

Two benches are set up on a coordinate grid. The blue bench is at (-4, 2) while the red bench is at (-4, -2). If each unit is equal to 100 feet, how far apart are the benches?

a)

400 feet

b)

200 feet

c)

100 feet

d)

4 feet

221.

What is the area of the figure?

a)

15 units²

b)

7.5 units²

c)

8 units²

d)

10 units²

222.

What is the formula for finding area of a rectangle?

a)

A = B*H/2

b)

A = B/H

c)

A=B*H

d)

A = 2B/h

223.

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

a)

A=bh/2 or A=1/2bh

b)

A=(b₁+b₂) *h/2

c)

A=bh

d)

A=bh/3

224.

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

a)

A= bh

b)

A=h/2

c)

A=bh/2

d)

A=L*W*H

225.

What is the name of a shape that is made up of two or more figures?

a)

Comparitive Shape

b)

Composite Shape

c)

Cameronian Shape

d)

Capricorn Shape

226.

What is the area of the parallelogram?

a)

13 units²

b)

15 units²

c)

20 units²

d)

25 units

GEOMERTRY FINAL EXAM REVIEW SEMESTER 2

Total questions: 226

Worksheet time: 12hrs 35mins

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