WorksheetsRed Semester Review
Total questions: 116
Worksheet time: 5hrs 38mins
Name
Class
Date
1.
Which is NOT a test to prove triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
2.
What does CPCTC stand for?
a)
Corresponding Parts of Corresponding Triangles are Congruent
b)
Congruent Parts of Corresponding Triangles are Congruent
c)
Corresponding Parts of Congruent Triangles are Congruent
3.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
4.
Which segment is congruent to EF?
a)
HG
b)
HF
c)
GF
d)
IE
5.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
Yes by ASA
b)
Yes by AAS
c)
Yes by SSA
d)
Not congruent
6.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SAS
b)
SSS
c)
Both SSS and SAS
d)
Not necessarily congruent
7.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
8.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
9.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
10.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
11.
Find the DG.
a)
14
b)
28
c)
12
d)
16
12.
A trapezoid is a quadrilateral with exactly one pair of _____ sides.
a)
parallel
b)
congruent
c)
perpendicular
d)
skew
13.
The legs of an isosceles trapezoid are _____.
a)
parallel
b)
perpendicular
c)
congruent
d)
skew
14.
Solve for the variables.
a)
m=68, n=70
b)
m=35, n=70
c)
m=35, n=110
d)
m=68, n=110
15.
Find the measure of angle b.
a)
b=51
b)
b=129
16.
A square is a rectangle.
a)
Never
b)
Sometimes
c)
Always
17.
Rhombus: Find the measure of ∠2:
a)
59°
b)
45°
c)
118°
d)
90°
18.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
2
c)
0
d)
4
19.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
20.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
21.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
10
c)
4
d)
5
22.
Find the value of x that makes that shape a kite.
a)
x = 4.5
b)
x= 4
c)
x = 2
d)
x = 5
23.
Solve for Angle 1 and Angle 2.
a)
1= 92 degrees & 2 = 46 degrees
b)
1 = 118 degrees & 2 = 118 degrees
c)
1 = 92 degrees & 2 = 92 degrees
d)
1 = 46 degrees & 2 = 190 degrees
24.
In kite ABCD, m<DAX = 32 degrees and m<XDC = 64 degrees. What is m<XDA?
a)
32 degrees
b)
58 degrees
c)
52 degrees
d)
26 degrees
25.
Find the midsegment.
a)
9.2
b)
18.4
c)
None of these
d)
10.2
26.
The diagonals in a kite __________.
a)
are perpendicular
b)
are congruent
c)
bisect each other
27.
Solve for the variables.
a)
x=15, y=9
b)
x=9, y=15
28.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
29.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°
30.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
31.
What is the measure of ONE interior angle in a regular hexagon (6 sides)?
a)
60°
b)
80°
c)
108°
d)
120°
32.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
33.
What is the measure of ONE interior angle in a regular triangle (3 sides)?
a)
15°
b)
30°
c)
60°
d)
90°
34.
What is the name of a 7 sided polygon?
a)
hexagon
b)
heptagon
c)
octagon
d)
nonagon
35.
How many sides does a Quadrilateral have?
a)
4
b)
3
c)
6
d)
9
36.
Find the missing angle.
a)
75
b)
85
c)
100
d)
45
37.
Find the measure of the angle x.
a)
105
b)
115
c)
65
d)
75
38.
Find the value of X
a)
94
b)
25
c)
36
d)
180
39.
Find the measure of angle b
a)
75 degrees
b)
20 degrees
c)
30 degrees
d)
55 degrees
40.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
41.
Find the length of side y.
a)
22.32 cm
b)
36.5 cm
c)
76.34 cm
d)
87.76 cm
42.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
43.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
44.
Solve for a and b in the special right triangle.
a)
a = 5, b = 5
b)
a = 10, b = 10√2
c)
a = 10√2, b = 10√2
d)
a = 5√2, b = 5√2
45.
Solve for x and y in the special right triangle.
a)
x = 7, y = 7√2
b)
x = 14 y = 7√2
c)
x = 14√2 y = 7√2
d)
x = 14 y = 14√2
46.
Solve for u and v in the special right triangle.
a)
v = 9√3, u = 6√3
b)
v = 6√3 u = 9√3
c)
v = 9, u = 6√3
d)
v = 3√6, u = 6√3
47.
Solve for x and y in the special right triangle.
a)
y = 4, x = 4√3
b)
y = 4√2, x = 4√2
c)
y = 4 x = 12
d)
y = 8/√3, x = 16/√3
48.
Find Cos(A) as a decimal rounded the the nearest ten-thousandth.
a)
.4706
b)
1.875
c)
.8824
d)
.5333
49.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
50.
Solve for x. Round to the nearest tenth.
a)
44.0
b)
41.4
c)
1.2
d)
1.0
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.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
54.
a)
A
b)
B
c)
C
d)
D
55.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
a)
7.5 ft
b)
15 ft
c)
26 ft
d)
30 ft
56.
A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?
a)
25 feet
b)
45 feet
c)
110 feet
d)
135 feet
57.
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
58.
What is the area of the figure?
a)
48 cm2
b)
90 cm2
c)
78 cm2
d)
12 cm2
59.
a)
54 cm2
b)
45 cm2
c)
63 cm2
d)
36 cm2
60.
Find the perimeter.
a)
8 cm
b)
34 cm
c)
32 cm
d)
49 cm
61.
Find the perimeter
a)
25cm
b)
35cm
c)
50m
d)
100cm
62.
Find the area of the rectangle.
a)
36 in.2
b)
72 in.2
c)
26 in.2
d)
13 in.2
63.
Mrs. Davis wanted to cover the classroom with new carpet. If the length of the classroom was 12 feet and the width was 8 feet. How much carpet would she need to buy?
a)
20 feet
b)
40 ft
c)
96 square feet
d)
40 square feet
64.
Ben wanted to make a dog pen with an area of 36 square feet. What could the dimensions of his dog pen be?
a)
3 x 6 feet
b)
9 feet + 9 feet
c)
9 x 4 feet
65.
Find the area of the rectangle.
a)
36 in.2
b)
72 in.2
c)
26 in.2
d)
13 in.2
66.
What is the perimeter of the rectangle?
a)
28 sq feet
b)
28 feet
c)
48 feet
d)
48 sq feet
67.
The space inside a 2 dimenstional shape is called it's
a)
area
b)
perimeter
68.
The distance around an object is called the
a)
area
b)
perimeter
69.
A perimeter of a rectangle is 20 meters. The width is 4 meters. What would the length be?
a)
6 m
b)
13 m
c)
15 m
70.
What is the area?
a)
16 yd2
b)
22 yd2
c)
49 yd2
d)
28 yd2
71.
What is the formula for area?
a)
A = bh
b)
A = w-h
c)
h+w = A
d)
h÷b = A
72.
The length of the rectangular map is 15 inches and the perimeter is 50 inches. Find the width.
a)
10 inches
b)
20 inches
c)
35 inches
73.
What is the area of a square with a length of 4 cm?
a)
16 cm
b)
16 square cm
c)
8 cm
d)
8 square cm
74.
Mrs. Davis wanted to cover the classroom with new carpet. If the length of the classroom was 12 feet and the width was 8 feet. How much carpet would she need to buy?
a)
20 feet
b)
40 ft
c)
96 square feet
d)
40 square feet
75.
A perimeter of a rectangle is 34 meters. The width is 4 meters. What would the length be?
a)
17 m
b)
13 m
c)
15 m
76.
What is the name for the distance around a circle?
a)
Diameter
b)
Radius
c)
Circumference
d)
Chord
77.
An arc is a smaller piece of the...
a)
Chord
b)
Center
c)
Circumference
d)
Radius
78.
What is twice as long as a radius
a)
Center
b)
Diameter
c)
Tanget
d)
Arc
79.
A circle is named after its what?
a)
Center
b)
Arc
c)
Circumference
d)
Secant
80.
A line segment that connects two points on a circle is what?
a)
Radius
b)
Sector
c)
Segment
d)
Chord
81.
What is it called when we extend a cord past the circle?
a)
Tanget
b)
Secant
c)
Chord
d)
Center
82.
What is half the size of a diameter
a)
Radius
b)
Chord
c)
Arc
d)
Center
83.
a)
Name the circle: Circle B
b)
Name the circle: Circle DE
c)
Name the circle: Circle A
d)
Name the circle: Circle DBC
84.
a)
Diameter is: DE
b)
Diameter is: BA
c)
Diameter is: BC
d)
Diameter is: DC
85.
a)
Radi are: DE & BC
b)
Radi are: BC
c)
Radi are: BC, BA & BD
d)
Radi are: BE, DC & AD
86.
The following is the formula for________?
a)
arc length
b)
area of a sector
c)
area of a segment
d)
arc measure
87.
Find the arc length of the bolded arc.
a)
A
b)
B
c)
C
d)
D
88.
In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.
a)
5
b)
9
c)
8
d)
6
89.
Find the arc length.
Leave your answer in terms of π.
Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
90.
Find the length of the bold arc.
a)
61.3ft
b)
20.4ft
c)
7351.3ft
d)
22,068ft
91.
What is the radius if the diameter is 27?
a)
135
b)
13.5
c)
1.35
d)
I do not know
92.
A ____ angle is an angle whose vertex is a the center of a circle.
a)
supplementary
b)
complimentary
c)
central
d)
obtuse
93.
Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
94.
The distance along an arc measured in linear units.
a)
area of a sector
b)
arc length
c)
arc of a circle
d)
sector of a circle
95.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
96.
What is the area of the shaded region? Round to the nearest hundredth.
a)
1.26
b)
452.39
c)
113.10
d)
40715.04
97.
What is the area of the shaded region? Round to the nearest hundredth.
a)
50.27
b)
3015.93
c)
8.38
d)
4.19
98.
What is the area of the shaded sector?
a)
339.12 in2
b)
113.04 in2
c)
339.29 in2
d)
None of the above
99.
What is the area of the shaded sector?
a)
7.14 in2
b)
5.23 in2
c)
97.34 in2
d)
15.7 in2
100.
Find the area of the marked sector. Round correctly.
a)
52.4 in2
b)
18,864 in2
c)
60 in2
d)
10.47 in
101.
FIND THE SECTOR AREA OUTLINED IN BOLD
a)
A
b)
B
c)
C
d)
D
102.
FIND THE SECTOR AREA OUTLINED IN BOLD
a)
A
b)
B
c)
C
d)
D
103.
What is the area of the shaded sector?
a)
221π/36
b)
3757π/72
c)
3757π/18
d)
None of these
104.
Find the area of the shaded region.
a)
19.63
b)
58.90
c)
23.56
d)
18.75
105.
In the equation (x-3)2+(y+4)2=121, the center of the circle is at...
a)
(3, -4)
b)
(-3, 4)
c)
(4, 3)
d)
(-4, -3)
106.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
107.
What is the center and radius for a circle with the equation:
(x-4)2+(y+2)2=25
(x-4)2+(y+2)2=25
a)
C:(4, -2), r=5
b)
C:(-4, 2), r=5
c)
C:(4, -2), r=25
d)
C:(-4, 2), r=25
108.
What is the center of the circle with equation x2 + y2 = 1?
a)
(1, 1)
b)
(0, 0)
c)
not enough information
109.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
110.
In the equation (x-3)2+(y+4)2=121, the radius of the circle is
a)
242
b)
11
c)
121
d)
22
111.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
112.
What is the radius of the circle
(x+7)²+(y-2)²=144?
(x+7)²+(y-2)²=144?
a)
7
b)
12
c)
13
113.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units
Radius = 5 units
114.
What is the equation of this circle?
a)
(x-1)²+(y-2)²=16
b)
(x+1)²+(y+2)²=4
c)
x²+y²=16
115.
What is the equation for this circle?
a)
(x+1)+(y+1)=9
b)
x²+y²=9
c)
x+y=9
116.
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
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