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V1 SPRING FINAL EXAM 2023 LBJECHS GEOMETRY ADVANCED

Total questions: 60

Worksheet time: 2hrs 20mins

Name
Class
Date
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 show these triangles are congruent by AAS?

a)

<L ≅ < T

b)

<K ≅ <U

c)

MK ≅ SU

d)

<L ≅ <U

8.

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

9.

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

10.

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

11.

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

12.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
13.
∆EHG≅∆KFC
Which is a true statement?
a)
EH≅FK
b)
HG≅KF
c)
EG≅KC
d)
∠E≅∠C
14.
Solve for x
a)
5
b)
4
c)
3
d)
2
15.

a= 12, b= 35, c= ? Find c

a)

32

b)

37

c)

19

d)

20

16.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
17.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
18.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
19.

Find tangent of θ.

a)

8/12

b)

23/12

c)

8/23

d)

12/23

20.
Use trig ratios (SOH CAH TOA) to solve for x 
a)
5.0
b)
6.1
c)
7.7
d)
6.4
21.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

22.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
23.
Set up the problem...
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
24.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
25.
Find the value of y.
a)
9
b)
18√2
c)
9√2
d)
(9√2)/2
26.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
27.
What is the value of y?
a)
3√2
b)
4√3
c)
6
d)
1
28.
What is the value of x?
a)
12√2
b)
2√12
c)
24
d)
2
29.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
30.
Find the length of side y.
a)
22.32 cm
b)
36.5 cm
c)
76.34 cm
d)
87.76 cm
31.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
32.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
33.

Solve for x.

a)

19.44

b)

14.87

c)

8.24

d)

30.67

34.

Solve for x

a)

9.23

b)

24.36

c)

11.82

d)

19.19

35.
Solve for x.
a)
50.7
b)
50.1
c)
60.7
d)
61.0
36.
Look at the sides of this triangle. What type of triangle is this?
a)
Equilateral
b)
Isosceles
c)
Scalene
d)
Obtuse
37.
a)

acute

b)

obtuse

c)

right

38.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

right scalene

c)

acute scalene

d)

obtuse scalene

39.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
40.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
41.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
42.
Find the measurement of the missing side indicated
a)
4.98
b)
5.98
c)
3.20
d)
4.18
43.
Solve for x.
a)
50.7
b)
50.1
c)
60.7
d)
61.0
44.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
45.

A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?

a)

10 feet

b)

7.5 feet

c)

8.3 feet

d)

3.8 feet

46.
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
47.
A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?
a)
66 degrees
b)
80 degrees
c)
30 degrees
d)
19 degrees
48.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
49.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

50.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
51.

In circle P, given that BA is a diameter, find the value of x.

a)

73°

b)

107°

c)

28°

d)

58°

52.

Solve for x

a)

15

b)

16

c)

18

d)

19

53.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
54.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
55.

Find the value of x. Round to the nearest whole number.

(a)  

56.

Find the value of x. Round to the nearest degree.

(a)  

57.

Find the measure of arc EYA.

(a)  

58.

Find tan⁡θ\tan\theta .

a)

tan⁡θ=513\tanθ=\frac{5}{13}  

b)

tan⁡θ=1213\tan\theta=\frac{12}{13}  

c)

tan⁡θ=125\tan\theta=\frac{12}{5}

d)

tan⁡θ=512\tan\theta=\frac{5}{12}

59.

Find the value of x.

a)

20.21

b)

32.11

c)

33.46

d)

41.31

60.

What is x?

a)

15

b)

23

c)

2

d)

92