Free Printable Final Exam Review 2023

1.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by AAS

c)

Yes, by ASA

d)

Yes, they look congruent.

e)

No they are not congruent

2.

Are these two triangles congruent? If so, how?

a)

Yes, by SSA

b)

Yes, by SAS

c)

Yes, by HL

d)

Yes, they look congruent

e)

No they are not congruent

3.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by SSS

c)

Yes, by ASA

d)

Yes, they look congruent

e)

No they are not congruent

4.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by SSA

c)

Yes, by AAS

d)

Yes, they look congruent

e)

No, they are not congruent

5.

Are these two triangles congruent? If so, how?

a)

Yes, by AAS

b)

Yes, by SSS

c)

Yes, by ASA

d)

Yes, they look congruent

e)

No they are not congruent

6.

Are these triangles congruent? If so, how?

a)

Yes, by SSS

b)

Yes, by SSA

c)

Yes, by SAS

d)

Yes, they look congruent

e)

No they are not congruent

7.

What additional information is needed to say these triangles are congruent by SSS?

a)

RS≅DQ

b)

<R ≅ <D

c)

QS ≅ RS

d)

QD ≅ RQ

8.

What additional information is needed to show these triangles are congruent by AAS?

a)

<L ≅ < T

b)

<K ≅ <U

c)

MK ≅ SU

d)

<L ≅ <U

9.

What additional information is required to say these two triangles are congruent by ASA?

a)

DE ≅ LJ

b)

<F ≅ <L

c)

FE ≅ LK

d)

DE ≅ JK

10.

What additional information is required to say these two triangles are congruent by HL?

a)

GH ≅ XW

b)

<G ≅ <X

c)

GI ≅ XV

d)

GH ≅ VX

11.

What additional information is required to say these two triangles are congruent by SAS?

a)

CB ≅ LK

b)

CA ≅ LJ

c)

<K ≅ <B

d)

<C ≅ <L

12.

Are these two triangles congruent? If so, how?

a)

Yes, by ASA

b)

Yes, by AAA

c)

Yes, by AAS

d)

Yes they look congruent

e)

No they are not congruent

13.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by SSA

c)

Yes, they look congruent

d)

No they are not congruent

14.

Are these two triangles congruent? If so, how?

a)

Yes, by SSA

b)

Yes, by HL

c)

Yes, by SAS

d)

Yes, they look congruent

e)

No they are not congruent

15.

Are these two triangles congruent? If so, how?

a)

Yes, by ASA

b)

Yes, by AAS

c)

Yes, by SAS

d)

Yes, they look congruent

e)

No they are not congruent

16.

If the legs are congruent then the base angles are ________________.

4 lines

17.

If AB = 5cm, then BC = ?

If m<A = 50 degrees, then m<C = ?

4 lines

18.

What is the m<A?

a)

46

b)

90

c)

88

d)

134

19.

What is the value of x?

4 lines

20.

What is the measure of BC?

a)

12

b)

6

c)

10

d)

Not enough information

21.

What is the value of x?

a)

16

b)

60

c)

8

d)

Not enough information

22.

_{How many lines of symmetry are in the figure?}

a)

0

b)

1

c)

2

d)

3

23.

What type of symmetry does this shape have?

a)

Rotational

b)

Line

c)

Both Rotational and Line

d)

Point

e)

none

24.

What type(s) of symmetry does this shape have?

a)

line and point

b)

point and rotaional

c)

none

d)

line, point and rotational

25.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

26.

Which of the following letters does not have line symmetry, but has point symmetry:

a)

H

b)

I

c)

Z

d)

X

27.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

28.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

29.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

30.

Use the picture to write the correct Segment Addition statement.

a)

AB + BC = AC

b)

BC + BA = BC

c)

BA + AC = BC

d)

AB + AC = BC

31.

Find HG.

a)

8

b)

9

c)

10

d)

11

32.

Solve for x

a)

x = 2

b)

x = 4

c)

x = 6

d)

x = 8

33.

Find AC

a)

7

b)

8

c)

22

d)

23

34.

Find KL.

a)

18

b)

15

c)

6

d)

20

35.

Solve for x

a)

-3

b)

0

c)

1

d)

3

36.

Which shape(s) is not a polygon?

a)

b)

c)

d)

37.

What is the formula for the sum of interior angles in a polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

38.

What is the sum of the interior angles for a 24-gon

a)

3960

b)

360

c)

15

d)

4280

39.

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

a)

1440°

b)

900°

c)

1080°

d)

1260°

40.

Find the sum of the interior angles of a 16-gon

a)

157.5

b)

2520

c)

360

d)

22.5

41.

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

a)

160°

b)

360°

c)

20°

d)

2280°

42.

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

a)

4860

b)

4500

c)

360

d)

270

43.

What is the measure of ONE interior angle of a regular 20-gon?

a)

90

b)

146

c)

162

d)

122

44.

What is the measure of ONE interior angle of a regular octagon?

a)

135

b)

180

c)

145

d)

190

45.

Find the measure of angle 1.

a)

28^o

b)

136^o

c)

44^o

d)

6^o

46.

Lines r and s are cut by a transversal. What value of x proves r ∥ s?

a)

43

b)

37

c)

143

d)

37

47.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

48.

What is the measure of ∠ABC?

a)

25°

b)

75°

c)

108°

d)

150°

49.

What is the value of x?

a)

13

b)

6.2

c)

29.8

50.

Find the value of x that makes $a\parallel b$ .

(a)

51.

Determine whether each pair of ratios forms a proportion. (do they reduce to the same fraction?)

a)

Proportion

b)

Not a Proportion

52.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

53.

The pair of figures is similar. Find the missing side.

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

54.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

55.

These triangles are similar. Which is the correct similarity statement? There may be more than 1 correct answer.

a)

$\Delta UVT\sim\Delta LJK$

b)

$\Delta TUV\sim\Delta JLK$

c)

$\Delta VUT\sim\Delta LKJ$

d)

$\Delta UTV\sim\Delta KJL$

56.

Solve for x.

a)

8

b)

6

c)

10

d)

12

57.

Solve the proportion:

$\frac{8}{b+10}=\frac{4}{2b-7}$

a)

b = 8

b)

b = $1.3$

c)

b = 1.4

d)

b = .125

58.

Solve the proportion: $\frac{8}{9}=\frac{w-2}{6}$

a)

3.3

b)

5.1

c)

5.6

d)

7.3

59.

Are the triangles similar?

a)

yes

b)

no

60.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

61.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

62.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

63.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

64.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

65.

Order the sides from least to greatest.

a)

DE, VE, DV

b)

VE, DE, DV

c)

DV, VE, DE

d)

DE, DV, VE

66.

Can a triangle be formed with side lengths:

24, 9, 30

a)

yes

b)

no

c)

not enough information

67.

Can a triangle be formed with side lengths:
10, 12, 22

a)

yes

b)

no

c)

not enough information

68.

What is a possible third side to a triangle with side lengths of 13 and 4?

a)

9

b)

12

c)

8

d)

5

69.

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

a)

12 < x < 17

b)

12 < x < 29

c)

5 < x < 17

d)

5 < x < 29

70.

ONLY TYPE THE NUMBER IN THE BLANK!!!

(a)

71.

ONLY TYPE THE NUMBER IN THE BLANK!!!

(a)

72.

Is DE 1/2 the length of BC?

a)

Yes

b)

No

73.

A midsegment of a scalene triangle has a length of 12 in.

What is the length of its corresponding side?

a)

6 inches

b)

12 inches

c)

24 inches

d)

Cannot be determined without the coordinates.

74.

If AC = 42, find DF.

a)

21

b)

84

c)

14

d)

28

75.

The midsegment of the triangle is 5x-1.

Find the value of x.

Remember the formula... 2(midsegment) = opp. side

a)

x = 6

b)

x = 7

c)

x = 11.8

d)

x = 12.4

76.

Find the length of $\overline{DF}$ .

a)

6

b)

8

c)

7.2

d)

6.8

77.

Find the length of $\overline{HJ}$ .

a)

2

b)

1.5

c)

4

d)

1.75

78.

Calculate the value of x.

a)

x = 32 m

b)

x = 35 m

c)

x = 40 m

d)

x = 42 m

79.

Solve for x. Round to the nearest tenth.

a)

9.5

b)

30.8

c)

3.1

80.

Solve for x. Round to the nearest tenth.

a)

7.5

b)

34.1

c)

14.1

81.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

82.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

83.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

84.

a)

18.9

b)

19.5

c)

47

d)

27.5

85.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

86.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

87.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

88.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

89.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

90.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

91.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

92.

a)

3/4

b)

4/3

c)

4/5

d)

3/5

93.

a)

3/4

b)

3/5

c)

5/4

d)

5/3

94.

a)

A

b)

B

c)

C

d)

D

95.

a)

A

b)

B

c)

C

d)

D

Final Exam Review 2023

Total questions: 95

Worksheet time: 4hrs 37mins

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