Free Printable Geometry cumulative final

1.

Find the midpoint:

a)

\left(3,-1\right)

b)

$\left(-1,3\right)$

c)

$\left(3,4\right)$

d)

$\left(4,3\right)$

2.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

3.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

4.

How is AB written in the distance formula?

a)

$d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$

b)

$d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$

c)

$d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$

d)

$d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$

5.

Solve for the missing angle with the question mark.

a)

A

b)

B

c)

C

d)

D

6.

Find the value of x by using the exterior angle theorem.

a)

A

b)

B

c)

C

d)

D

7.

Solve for x.

a)

5

b)

12

c)

-7

d)

-6

8.

Find the measure of the missing angle.

a)

47

b)

57

c)

53

d)

133

9.

Two angles added together to produce 90 degrees

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

10.

Find the missing angle.

a)

60

b)

70

c)

50

d)

140

11.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

12.

What is the measure of the missing angle?

a)

76

b)

66

c)

156

d)

154

13.

What is the definition of a supplementary angle?

a)

Two angles that measure 180 degrees

b)

A right angle

c)

Two angles that measure 90 degrees

d)

Two angles that have the same measure

14.

What is the measure of angle x?

a)

70

b)

160

c)

135

d)

20

15.

What is the sum of the interior angles of a 21-gon?

a)

4140

b)

3780

c)

3240

d)

3420

16.

What is the sum of the interior angles of an octagon?

a)

1260

b)

1080

c)

135

d)

900

17.

Find the area:

a)

88 yd

b)

40 yd²

c)

80 yd²

d)

18 yd²

18.

Find the area of the parallelogram:

a)

13 in²

b)

20 in²

c)

26 in²

d)

40 in²

19.

Find the area of the trapezoid

a)

128 m²

b)

64 m²

c)

144 m²

d)

72 m²

20.

Find the AREA of the rectangle.

a)

100 feet²

b)

160 feet²

c)

52 feet²

d)

256 feet²

21.

What is the area of this triangle?

a)

30 units²

b)

35 units²

c)

60 units²

d)

70 units²

22.

What is the area of the shape below?

a)

81 yd²

b)

162 yd²

c)

79.5 yd²

d)

40.5 yd²

23.

Find the volume. Round to the nearest tenth.

a)

A

b)

B

c)

C

d)

D

24.

The earth's shape is a...

a)

Cone

b)

Sphere / Roundboi

c)

Rectangular Prism

d)

Cylinder

25.

Find the volume. Round to the nearest tenth.

a)

A

b)

B

c)

C

d)

D

26.

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary.

a)

216 yd³

b)

108 yd³

c)

72 yd³

d)

36 yd³

27.

Look at the sides of this triangle. What type of triangle is this?

a)

scalene

b)

acute

c)

equilateral

d)

isosceles

28.

Look at the sides of this triangle. What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

29.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

30.

Find the value of "c"

a)

c = 8

b)

c = 10

c)

c = √52

d)

c = √20

31.

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

a)

RIGHTANG

b)

SOHCAHTOA

c)

SHOCHATOA

32.

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

33.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

34.

Find cosA

a)

30/16

b)

30/34

c)

30/15

d)

16/34

35.

Find sinA

a)

32/40

b)

32/24

c)

24/40

d)

24/32

36.

Find cosC

a)

16/34

b)

16/30

c)

30/34

d)

34/16

37.

Find sinC

a)

21/35

b)

28/21

c)

35/28

d)

28/35

38.

Name the Image

a)

Angle

b)

Line

c)

Line Segment

d)

Ray

39.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

40.

Name the ray in the figure.

a)

b)

c)

d)

41.

Find the value of ∠A.

a)

39 degrees

b)

49 degrees

c)

51 degrees

d)

59 degrees

42.

$\angle3$ and $\angle7$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

43.

$\angle4$ and $\angle8$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

44.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

45.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

46.

Determine where X' would be if you translated X 3 units to the left and 2 units down.

a)

(-4, 6)

b)

(-3, 1)

c)

(-4, 2)

d)

(-2, -4)

47.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

48.

What type of rotation does this represent (from red to blue)?

a)

270⁰ clockwise

b)

360⁰

c)

90⁰ counterclockwise

d)

180⁰

49.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

50.

What is the probability of spinning an odd number on the spinner?

a)

1/5

b)

2/5

c)

3/5

d)

4/5

51.

What is the probability of spinning a purple?

a)

1/4

b)

1/8

c)

2/4

d)

5/8

52.

What is always the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

53.

Identify the property of equality used & the solution.

a)

addition: 26

b)

addition: 2

c)

subtraction: 26

d)

subtraction: 2

54.

Identify the property of equality used & the solution.

a)

addition: 13

b)

addition: 3

c)

subtraction: 19

d)

subtraction: 13

Geometry cumulative final

Total questions: 54

Worksheet time: 4hrs 58mins

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