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Math 2 21-22 S2 Final

Total questions: 60

Worksheet time: 15hrs 0mins

Name
Class
Date
1.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
2.

Find the measure of the missing angle.

a)

47

b)

57

c)

53

d)

133

3.
Solve for x.
a)
16
b)
11
c)
50
d)
6
4.
Solve for x.
a)
8
b)
-10
c)
-7
d)
6
5.
Find the measure of the indicated angle. 
a)
145 degrees
b)
24 degrees
c)
20 degrees 
d)
21 degrees
6.
Find the measure of the indicated angle. 
a)
87 degrees
b)
82 degrees
c)
83 degrees
d)
72 degrees
7.
a)

IH

b)

JH

c)

HI

d)

IJ

8.
a)

P

b)

Q

c)

R

d)

S

9.
What is the smallest angle?
a)
J
b)
K
c)
L
10.

What is the measure of x?

a)

101°

b)

111°

c)

121°

d)

131°

11.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

12.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

13.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

14.

Name the side opposite of  C\angle\ C  

a)

Side AB

b)

Side BC

c)

Side AC

15.

Name the angle opposite side AB.

a)

 A\angle\ A

b)

 B\angle\ B

c)

 C\angle\ C

16.

Given the two triangles, which congruence statement is NOT true?

a)

AB  DFAB\ \cong\ DF

b)

DE  ACDE\ \cong\ AC

c)

Δ ABC  ΔDFE\Delta\ ABC\ \cong\ \Delta DFE

d)

ΔABC Δ DEF\Delta ABC\ \cong\Delta\ DEF

17.

Use the Third Angles Theorem to find  mFm\angle F  

a)

55°55\degree

b)

42°42\degree  

c)

96°96\degree  

d)

83°83\degree  

18.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
19.
State if the two triangles are congruent.  If they are, state which theorem you would use.
a)
Yes, SAS
b)
Yes, SSS
c)
Yes, HL
d)
No
20.
a)
Congruent by HL
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
21.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
22.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAA
d)

Not Necessarily Congruent

23.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
24.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
25.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
26.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
10
c)
4
d)
5
27.
Find y.
a)
2
b)
4
c)
15
d)
10
28.
Name that shape. 
a)
square
b)
square
rhombus
c)
quadrilateral
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
29.
Name that shape.
a)
trapezoid
b)
quadrilateral
c)
parallelogram
d)
rhombus
30.
Name that shape.
a)
quadrilateral, rectangle
b)
quadrilateral, rectangle, square
c)
quadrilateral, parallelogram, rectangle
d)
quadrilateral, parallelogram, rectangle, square
31.
Which of the following is not True for a parallelogram?
a)
Opposite sides are equal
b)
Opposite angles are equal
c)
Opposite angles are bisected by the diagonals
d)
Diagonals bisect each other
32.

Say 'TRUE' or 'FALSE' The diagonals of a rectangle are equal and perpendicular

a)
TRUE
b)
FALSE
33.
In a Quadrilateral ABCD, AB = BC and CD = DA, then the quadrilateral is _____
a)
Parallelogram
b)
Rhombus
c)
Kite
d)

Trapezoid

34.
What is the Perimeter of this rectangle?
a)
16 cm
b)
40 cm
c)
26 cm
d)
13 cm
35.

Which algebraic expression represents the area of the rectangle?

a)

6a2+b25ab6a^2+b^2-5ab

b)

6a2+2b6ab6a^2+2b-6ab

c)

5a2b5a-2b

d)

10a4b10a-4b

36.

Find the area of the following rectangle.

a)

81381\sqrt{3}   

b)

939\sqrt{3}  

c)

36336\sqrt{3}  

d)

3243324\sqrt{3}  

37.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
38.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
39.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
40.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2
41.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

42.
What is the equation of a circle with radius 2 and center (3, 4)?
a)
(x+3)2 + (y+4)2 = 2
b)
(x-3)2 + (y-4)2 = 2
c)
(x+3)2 + (y+4)2 = 4
d)
(x-3)2 + (y-4)2 = 4
43.
What is the radius of the circle given by the equation (x-7)2 + (y+3)2 = 25?
a)
3
b)
5
c)
10
d)
25
44.
What is the center of the circle given by the equation (x-7)2 + (y+3)2 = 25?
a)
(-7, 3)
b)
(7, -3)
c)
(3, -7)
(3, -7)
d)
(-3, 7)
45.
What is the center of a circle with equation (x-4)2 + y2 = 5?
a)
(-4, 0)
b)
(4, 0)
c)
(4, 1)
d)
(-4, 1)
46.
What is the radius of a circle with equation (x-4)2 + y2 = 5?
a)
2.2
b)
5
c)
10.8
d)
25
47.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
48.
What is the value of x?
a)
17.30
b)
11.33
c)
0.06
d)
23.82
49.

Find the measure of the indicated angle.  

a)

66^{\circ}

b)

2020^{\circ}

c)

4343^{\circ}

d)

4747^{\circ}

50.
Which one is the easy trick to remember trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
51.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
52.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
53.

Solve for x.

a)

50

b)

40

c)

41

d)

49

54.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
55.
The radius of the circle is 9 meters.  What is the circle's circumference?
a)
9 meters
b)
28.26 meters
c)
56.52 meters
d)
18 meters
56.
Find the area of the circle
a)

43.98

b)

153.94

c)

21.99

d)
307.72
57.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
58.

Find the area of the sector, rounding your answer to 1d.p.

a)

15.4m2

b)

15.3m2

c)

15.5m2

d)

15.6cm2

59.
Find the length of the bold arc.Leave pi in your answer.
a)
5688π ft
b)
15.8π ft
c)
150.4π ft
d)
54,150 ft
60.

Which of these CANNOT be used to prove triangles congruent?

Select all that apply.

a)

HL

b)

SAS

c)

SSA

d)

ASA

e)

AAA