Free Printable Geometry Finals review Day 4

1.

$Given\ L\left(-4\ ,\ 3\right)\ and\ M\ \left(-7\ ,\ -2\right),\ what\ is\ the\ length\ of\ \overline{LM}\ ?$

a)

$\sqrt[]{34}$

b)

$\sqrt[]{8}$

c)

$\sqrt[]{74}$

d)

$\sqrt[]{122}$

2.

Which point is collinear to points A and D?

a)

B

b)

C

c)

E

d)

F

3.

$If\ K\ is\ the\ midpoint\ of\ \overline{JL},\ JK\ =\ 9x-1\ and\ KL=2x+27,\ find\ JL.$

a)

35

b)

70

c)

62

d)

48

4.

Find the value of x in the figure below.

a)

7

b)

8

c)

9

d)

10

5.

$Find\ m\angle DBC\ in\ the\ figure\ below.$

a)

66

b)

156

c)

114

d)

149

6.

$If\ \angle P\ and\ \angle Q\ are\ complementary\ angles,$

$m\angle P=7x+3,\ and\ m\angle Q=16x+5,\ find\ m\angle P.$

a)

31

b)

34

c)

56

d)

59

7.

If $\overrightarrow{RT}$ bisects $\angle QRS$ , $m\angle QRT=5x-9$ , and $m\angle SRT=2x+33$ , find $m\angle SRT$ .

a)

14

b)

57

c)

61

d)

122

8.

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

a)

angle with measure between 90 & 180

b)

angle with measure between 0 & 90

c)

angle with measure of exactly 90

d)

angle with measure of exactly 180

9.

Find the midpoint between G( -1, 2) and H( -3, - 4)

a)

$\left(\frac{1}{2},-\frac{7}{2}\right)$

b)

$\left(-2,-1\right)$

c)

$\left(-4,-2\right)$

d)

$\left(1,3\right)$

10.

Which coordinate notation represents the translation?

a)

$\left(x,\ y\right)\rightarrow\left(x-5,y-7\right)$

b)

$\left(x,\ y\right)\rightarrow\left(x+6,y+4\right)$

c)

$\left(x,\ y\right)\rightarrow\left(x+5,y+7\right)$

d)

$\left(x,\ y\right)\rightarrow\left(x-4,y-6\right)$

11.

Describe the translation of point A(2, 1) to point A'(5, 3).

a)

(x, y) - (x – 3, y + 2)

b)

(x, y) - (x – 3, y – 2)

c)

(x, y) - (x + 3, y + 2)

d)

(x, y) - (x + 3, y – 2)

12.

What is the scale factor?

a)

2/3

b)

4/5

c)

3/2

d)

5/4

13.

A rectangle has a base of 10 mm and a height of 6 mm, and we double the height, what is the new perimeter and area?

a)

Perimeter = 22 mm and Area = 120 mm

b)

Perimeter = 44 mm and Area = 120 mm

c)

Perimeter = 32 mm and Area = 240 mm

d)

Perimeter = 32 mm and Area = 240 mm

14.

The volume of a rectangular prism is 16 in³. If the dimensions are changed by a scale factor of 2, what is the new volume?

a)

32 in³

b)

64 in³

c)

128 in³

d)

256 in³

15.

When the dimensions of a solid are changed by a scale factor, what happens to the volume?

a)

It changes by the scale factor

b)

It changes by the scale factor squared

c)

It changes by the scale factor cubed

d)

None of the above

16.

A Cylinder has a volume of 36 cm³. If the dimensions are changed by 1/2, what is the new volume?

a)

18 cm³

b)

9 cm³

c)

4.5 cm³

d)

72 cm³

17.

If the ratio of the radii of two circles is 3:4, what is the ratio of their areas ?

a)

3:4

b)

6:8

c)

9:16

d)

27:64

18.

When the dimensions of a figure are changed by a scale factor of 3, what happens to the perimeter?

a)

The perimeter will be multiplied by 3

b)

The perimeter will be 3 more than the preimage

c)

The perimeter will be multiplied by 9

d)

There is no way to know, we don't have the measurements

19.

Each side length of the rectangle at the right is multiplied by 3. What is the new area?

a)

1296

b)

432

c)

48

d)

144

20.

2. Each side length of the rectangle at the right is multiplied by a scale factor of 2. What is the new area?

a)

1380

b)

345

c)

690

d)

146

21.

On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?

a)

42 inches = 1 mile

b)

1 inch = 42 miles

c)

40 inches = 1 mile

d)

1 inch = 40 miles

22.

ABC ~ XYZ. What is the scale factor of the dilation that took point B to point Y?

Hint: (Find point B, find point Y then divide

\frac{image}{preimage}

.)

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

2

d)

3

23.

Choose the correct scale factor:

Hint: (Use your notes for the formula.)

a)

2

b)

3

c)

1/3

d)

1/2

24.

The linear scale factor is the same as...

(select all that apply)

a)

the ratio of areas

b)

the ratio of volumes

c)

the ratio of sides

d)

the ratio of perimeters

e)

the ratio of similarity

25.

The ratio of perimeters is the same as...

(select all that apply)

a)

the ratio of areas

b)

the ratio of volumes

c)

the ratio of sides

d)

the ratio of similarity

e)

the linear scale factor

26.

When going from the ratio of perimeters to the ratio of areas, you...

a)

square it.

b)

cube it.

c)

square root it.

d)

cube root it.

27.

When going from the linear scale factor to the ratio of volumes, you...

a)

square it.

b)

cube it.

c)

square root it.

d)

cube root it.

28.

When going from the ratio of surface areas to the ratio of sides, you...

a)

square it.

b)

cube it.

c)

square root it.

d)

cube root it.

29.

When going from the ratio of volumes to the ratio of perimeters, you...

a)

square it.

b)

cube it.

c)

square root it.

d)

cube root it.

30.

If the ratio of sides is 4:7, then the ratio of perimeters is...

a)

4:7

b)

8:14

c)

16:49

d)

64:343

31.

If the linear scale factor is 5:6, then the ratio of areas is...

a)

5:6

b)

10:12

c)

25:36

d)

125:216

32.

p.9 Solids #2 Find the surface area of the cone below.

a)

$\sqrt[]{17}\pi$

b)

$\sqrt[]{17}\pi+\pi$

c)

$2\sqrt[]{17}\pi$

d)

$5\pi$

33.

p.10 Solids #7 A cylinder is shown. If the radius and height of a cylinder are tripled, what happens to the lateral area of the cylinder?

a)

3 times larger

b)

6 times larger

c)

9 times larger

d)

12 times larger

34.

p.1 Triangles #1 The map below shows 2 different routes Ms. Bentsen can take to drive to the airport from her house. How many miles could Ms. Bentsen save by traveling on Airport Road instead of Mountain Highway and Oak Road to get to the airport?

a)

20 mi

b)

36 mi

c)

48 mi

d)

60 mi

35.

p.2 Triangles #12 For the following problems, solve for the value of x. Round sides to the nearest tenth.

a)

5.7

b)

7.1

c)

23.1

d)

23.7

36.

p.2 Triangles #14 For the following problems, solve for the value of x. Round angles to the nearest whole number.

a)

$11\degree$

b)

$25\degree$

c)

$42\degree$

d)

$65\degree$

37.

p.3 Triangles #16 From a point on the ground 25 feet from the foot of a tree, the angle of elevation to the top of the tree is 32°. Find to the nearest foot, the height of the tree.

a)

13.2ft

b)

15.6ft

c)

17.1ft

d)

19.8ft

38.

p.3 Triangles #17 You are flying a kite that is 30 feet above the ground. The angle of depression from the kite to the ground is $40\degree$ . How long is the string? (Ignore the height of your hand)

a)

35.8ft

b)

41.3ft

c)

46.7ft

d)

49.4ft

39.

p.3 Triangles #18 In right triangle RGB with altitude 𝐺𝑁 is drawn to hypotenuse 𝑅𝐵.

Draw the three similar right triangles in the figure with the right angle in the lower left position, and complete the similarity statement.

$\Delta RBG\sim\Delta\ldots\sim\Delta\ldots$

a)

$\Delta RBG\sim\Delta GNR\sim\Delta BGN$

b)

$\Delta RBG\sim\Delta GNR\sim\Delta GBN$

c)

$\Delta RBG\sim\Delta RGN\sim\Delta BGN$

d)

$\Delta RBG\sim\Delta RGN\sim\Delta GBN$

40.

p.3 Triangles #20 Solve for x.

a)

10

b)

21

c)

75

d)

100

41.

p.4 Triangles #23 AC = 16, and CD = 5. Find BC.

a)

25

b)

$\sqrt[]{55}$

c)

$\sqrt[]{80}$

d)

100

42.

Which angles are alternate interior?

a)

c and h

b)

e and g

c)

f and i

d)

g and f

43.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

44.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

45.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

46.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

47.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

48.

What is the formula for circumference of a circle given the diameter?

a)

C = π r

b)

C = 2 π r

c)

C = π d

d)

C = 2 π d

49.

The distance halfway across the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

50.

The distance across the circle through the center is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

51.

Find the measure of the missing angle.

a)

8^o

b)

58^o

c)

122^o

d)

64^o

52.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

53.

Name that shape.

a)

trapezoid

b)

quadrilateral

c)

parallelogram

d)

rhombus

54.

If a quadrilateral has 4 equal sides, then it is a square.

a)

TRUE

b)

FALSE

55.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

56.

When you translate, you ______ a number to x and y.

a)

Add or subtract

b)

Multiply or divide

c)

Add or multiply

d)

Subtract or divide

57.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

58.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

59.

What is a reflection?

a)

When you turn an object around a point.

b)

When you slide an object form one place to another.

c)

When you flip or mirror an object across a line.

d)

When you resize an object.

60.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

61.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

62.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

63.

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

a)

1440°

b)

900°

c)

1080°

d)

1260°

64.

Find the measure of the angle x.

a)

105

b)

115

c)

65

d)

75

65.

Find the Volume of the given figure.

a)

30 ft³

b)

36 ft³

c)

96 ft³

d)

11 ft³

66.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

67.

What is the formula for scale factor?

a)

$\frac{new}{old}$

b)

$\frac{old}{new}$

68.

A ~ B. What is the scale factor of the dilation of A to B?

a)

$\frac{4}{3}$

b)

$\frac{3}{4}$

c)

3

d)

4

69.

ABC ~ XYZ. What is the scale factor of the dilation of ABC to XYZ?

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

2

d)

3

70.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

71.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

72.

Find the area of each sector.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

73.

Find the volume of the cylinder.

a)

4239

b)

1696

c)

1130

d)

565

74.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

75.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

76.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

77.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

78.

What is the length of y in this 45-45-90 triangle?

a)

8√2

b)

4√2

c)

4

d)

8

79.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

80.

Find the area

a)

430 in²

b)

215 in²

c)

41.5 in²

d)

1.5 in²

81.

Find the area:

a)

40 yd

b)

40 yd²

c)

80 yd²

d)

18 yd²

Geometry Finals review Day 4

Total questions: 81

Worksheet time: 8hrs 40mins

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