Free Printable Geometry Final 24-25

1.

The centroid is the point of concurrency of the 3 ____ of a triangle.

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

2.

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

a)

Midsegment

b)

Incenter

c)

Circumcenter

d)

Centriod

3.

The centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire segment.

a)

one third

b)

two thirds

c)

three fourths

d)

one half

4.

If Z is the centroid, what type of segments are drawn?

a)

angle bisectors

b)

perpendicular bisectors

c)

altitudes

d)

medians

5.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

6.

The figure is an example of a(n) ...

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

7.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

8.

When you draw the medians of a triangle it creates the point of concurrency called the _____________.

a)

Centroid

b)

Incenter

c)

Perpendicular Bisectors

d)

Altitude

9.

The altitudes of a triangle intersect at the _________________________.

a)

Centriod

b)

Circumcenter

c)

Incenter

d)

Orthocenter

10.

Find the value of x

a)

x=28

b)

x=14

c)

x=23

d)

x=46

11.

If m∠CAP = 34° , find ∠CAB.

a)

A. 17°

b)

B. 34°

c)

C. 68°

d)

D. 90°

12.

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

a)

20

b)

10

c)

5

d)

Not Enough Information

13.

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

a)

6

b)

12

c)

18

d)

Not Enough Information

14.

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

a)

7

b)

14

c)

21

d)

Not Enough Informaion

15.

Point O is the circumcenter of the triangle. Find OB

a)

OB = 4

b)

OB = 6

c)

OB = 5.1

d)

Not enough information

16.

ED is the midsegment of triangle ABC. Find BC

a)

10.2

b)

12.5

c)

20.4

d)

22.7

17.

What is true about the midsegment EF?

a)

EF = 1/2 AB

b)

EF // AB

c)

EF = 1/2 AC

d)

none of these are true

18.

The mid segment of the triangle is 5x-1. Find the value of x.

a)

x = 6

b)

x = 7

c)

x = 11.8

d)

x = 12.4

19.

Find the measure of the indicated angle.

a)

34

b)

46

c)

62

d)

36

20.

Find the measure of the indicated angle.

a)

145 degrees

b)

24 degrees

c)

20 degrees

d)

21 degrees

21.

What is an angle bisector?

a)

Makes two 90 degree angles

b)

splits a 90 degree angle in half

c)

splits any angle into two congruent angles

d)

splits 2 sides in half

22.

Solve:

a)

2

b)

9

c)

35

d)

7

23.

Solve:

a)

1

b)

4

c)

10

d)

5

24.

Solve:

a)

3

b)

4

c)

-7

d)

15

25.

Solve:

a)

6

b)

7

c)

-8

d)

-5

26.

Solve:

a)

4

b)

6

c)

-2

d)

5

27.

Solve:

a)

-4

b)

10

c)

3

d)

-4

28.

Solve:

a)

-2

b)

4

c)

15

d)

9

29.

Solve:

a)

3

b)

12

c)

5

d)

3

30.

Solve:

a)

-9

b)

-28

c)

9

d)

4

31.

Solve:

a)

18

b)

3

c)

4

d)

6

32.

Solve:

a)

-8

b)

1

c)

-8

d)

36

33.

If I need 5 cups of flour to make 3 pies, how many pies can I make with 25 cups of flour?

a)

30

b)

15

c)

25

d)

5

34.

Gracie brought 24 cookies to give to her 3 classes. Tomorrow she has 4 classes, so how many cookies should she bring?

a)

24

b)

32

c)

8

d)

64

35.

Hank made 4 pizzas and used 8 lbs of cheese. How much cheese does he need for 1 pizza?

a)

1 lb

b)

2 lbs

c)

16 lbs

d)

4 lbs

36.

Solve for b

a)

b = 8

b)

b = 17/12

c)

b = 4/3

d)

b = 1/8

37.

Solve for k

a)

165

b)

17

c)

1/17

d)

1/165

38.

Solve the proportion

a)

x = -1/3

b)

x = 1/3

c)

x = -3/4

d)

x = 3/4

39.

What is a proportion?

a)

When two ratios can be simplified

b)

When two ratios are equivalent and show the same value

c)

When two ratios have the exact same numbers

d)

When two ratios can be multiplied by 2

40.

Do the ratios form a proportion?

a)

Yes, they form a proportion.

b)

No, they do not form a proportion.

41.

Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rest for 25 minutes in 5 hours. How long did they rest in 8 hours?

a)

40 minutes

b)

25 minutes

c)

200 minutes

42.

a)

P = 126

b)

P = 84

c)

P = 46

d)

P = 38

43.

a)

x = 8

b)

x = 16

c)

x = 32

d)

x = 4

44.

a)

DE = 7

b)

DE = 27

c)

DE = 13

d)

DE = 52

45.

a)

$m\angle KLJ=15\degree$

b)

$m\angle KLJ=73\degree$

c)

$m\angle KLJ=48\degree$

d)

$m\angle KLJ=24\degree$

46.

a)

$m\angle YQR=21\degree$

b)

$m\angle YQR=3\degree$

c)

$m\angle YQR=46\degree$

d)

$m\angle YQR=33\degree$

47.

The altitudes of a triangle intersect at the ____________________.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

48.

The angle bisectors of a triangle intersect at the ________________________.

a)

Circumenter

b)

Incenter

c)

Centroid

d)

Orthocenter

49.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

50.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

51.

If H is the circumcenter of the triangle, find BE.

a)

BE = 9

b)

BE = 14

c)

BE = 18

d)

BE = 12

52.

If H is the circumcenter of the triangle, find EH.

a)

EH = 10.7

b)

EH = 9

c)

EH = 14

d)

EH = 5.8

53.

a)

$m\angle ZTV=43\degree$

b)

$m\angle ZTV=86\degree$

c)

$m\angle ZTV=5\degree$

d)

$m\angle ZTV=51\degree$

54.

If G is the centroid of the triangle, find AC.

a)

70

b)

35

c)

42

d)

28

55.

If G is the centroid of the triangle, find BG.

a)

38

b)

19

c)

42

d)

35

56.

If G is the centroid of the triangle, find GC.

a)

28

b)

42

c)

14

d)

35

57.

Which of the following could represent side lengths of a triangle? Check ALL that apply.

a)

19, 11, 17

b)

23, 28, 52

c)

34, 9 , 25

d)

13, 22, 14

58.

a)

$22<x<74$

b)

$26<x<48$

c)

$62<x<84$

d)

$12<x<32$

59.

a)

21

b)

26

c)

9

d)

15

60.

Which of the following list the sides of $\Delta DEF$ from least to greatest?

a)

DE, EF, DF

b)

EF, DF, DE

c)

EF, DE, DF

d)

DF, DE, EF

61.

Hint: Sketch and label the triangle!

a)

$\angle P,\ \angle R,\ \angle Q$

b)

$\angle R,\ \angle Q,\ \angle P$

c)

$\angle P,\ \angle Q,\ \angle R$

d)

$\angle Q,\ \angle R,\ \angle P$

62.

Sin A =

a)

a/c

b)

b/c

c)

b/a

d)

c/a

63.

Cos B =

a)

a/c

b)

b/c

c)

a/b

d)

c/a

64.

The sine of an angle of reference is the (a) divided by the (b) .

Choose from the below words

opposite

hypotenuse

adjacent

65.

The cosine of the angle of reference is the (a) divided by the (b) .

Choose from the below words

adjacent

hypotenuse

opposite

ratio

66.

Sin A =

a)

5/12

b)

5/13

c)

12/13

d)

13/5

67.

Cos A =

a)

12/13

b)

12/5

c)

5/12

d)

5/13

68.

Tan A =

a)

a/b

b)

b/a

c)

b/c

d)

a/c

69.

The tangent of the angle of reference is the (a) divided by the (b) .

Choose from the below words

opposite

adjacent

hypotenuse

ratio

70.

Tan A =

a)

5/12

b)

13/12

c)

12/13

d)

12/5

71.

Sin A =

a)

4.5/6.364

b)

6.364/4.5

c)

1

d)

0

72.

Cos of the angle of reference

a)

15/17

b)

15/8

c)

8/15

d)

17/8

73.

Tan to the angle of reference

a)

8/15

b)

15/8

c)

15/17

d)

17/8

74.

Sin to the angle of reference

a)

8/17

b)

17/8

c)

8/15

d)

15/17

75.

Find the Cos A

a)

9/41

b)

40/41

c)

9/40

d)

3/10

76.

A 4 ft tall child creates a shadow that is 7.5 ft long. What is the angle of elevation of the sun?

a)

62 degrees

b)

49 degrees

c)

28 degrees

d)

15 degrees

77.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

78.

Spencer is going snowboarding. He rode the ski lift to the top of the mountain, which is at an altitude of 800 feet. The angle of elevation from the bottom to the top of the mountain is 20^o. What is the length of Spencer’s run (his trip down the hill)?

4 lines

79.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

80.

Set up the problem...

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

81.

Solve for x.

a)

25.32

b)

32.26

c)

15.6

d)

25.64

82.

Solve for x:

a)

51

b)

39

c)

54

d)

36

83.

sin _____ = $\frac{16}{34}$

a)

X

b)

Y

c)

Z

84.

Solve for x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

85.

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5^o. How far are you from the bottom of the lighthouse?

4 lines

86.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

87.

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun.

a)

34 degrees

b)

56 degrees

c)

72 degrees

d)

15 degrees

88.

What is $\cos A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

89.

A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

4 lines

90.

You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat?

4 lines

91.

What is the cosine of angle Q?

a)

$\frac{p}{q}$

b)

$\frac{q}{r}$

c)

$\frac{p}{r}$

d)

$\frac{r}{q}$

92.

A spectator is watching a rocket launch. He is 2 miles from where the rocket takes off. 3 seconds after the launch his angle of elevation to the rocket is 20 degrees. 10 seconds later his angle of elevation to the rocket is now 55 degrees. What is the distance that the rocket traveled in those 10 seconds? Round your answer to the nearest hundredth. Make sure you show all work!!!

4 lines

93.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

94.

Find Sin(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

Geometry Final 24-25

Total questions: 94

Worksheet time: 6hrs 55mins

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