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WorksheetsGeometry Mastery
Total questions: 173
Worksheet time: 7hrs 57mins
Name
Class
Date
1.
An angle that measures 90 degrees
a)
Acute
b)
Obtuse
c)
Straight
d)
Right
2.
An angle that measures 180 degrees
a)
Right
b)
Acute
c)
Obtuse
d)
Straight
3.
An angle that measures between 90 and 180
a)
Acute
b)
Obtuse
c)
Straight
d)
Right
4.
Angles whose measure add up to 180 degrees.
a)
Vertical
b)
Adjacent
c)
Complementary
d)
Supplementary
5.
Angles in the same plane with a common vertex & a common side, but no overlap.
a)
Vertical
b)
Complementary
c)
Adjacent
d)
Suplementary
6.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
7.
Name the angle vertical to <PQM
a)
<JQM
b)
<MQP
c)
<LQJ
d)
<LQN
8.
Name the relationship between <5 and <6
a)
Complementary
b)
Supplementary
c)
Vertical
d)
Neither
9.
Name the relationship between the two angles.
a)
Adjacent
b)
Supplementary
c)
Complementary
d)
Vertical
10.
Name the relationship between the angles.
a)
Linear Pair
b)
Complementary
c)
Supplementary
d)
Vertical
11.
Collinear points are:
a)
on the same plane.
b)
not on the same plane.
c)
on the same line.
d)
not on the same line.
12.
Coplanar points are:
a)
on the same plane
b)
not on the same plane
c)
on the same line
d)
not on the same line
13.
What is a line?
a)
a straight path of points that goes on and on in two directions
b)
an endless flat surface
c)
an exact location in space
d)
lines that never intersect
14.
What is a point?
a)
a straight path
b)
an exact location
c)
endless flat surface
d)
lines that cross
15.
What is a plane?
a)
lines that never intersect
b)
lines that pass through the same point
c)
an endless flat surface
d)
an exact location in space
16.
What is a line segment?
a)
Part of a line with 2 endpoints
b)
Part of a line that has 1 endpoint
c)
Part of a line with 0 endpoints
d)
Part of a line with 5 endpoints
17.
What is a ray?
a)
Part of a line with 2 endpoints
b)
Part of a line with 1 end point and goes on forever
c)
Part of a line with 0 endpoints
d)
Part of a line with 5 endpoints
18.
What is an angle?
a)
Figure formed by two lines
b)
Figure formed by two planes
c)
Figure formed by two rays
d)
Figure formed bye two endpoints
19.
To bisect means to:
a)
cut into two pieces
b)
cut in half
c)
be parallel
d)
intersect
20.
Acute Angle
a)
An angle greater than 0 and
less than 90
less than 90
b)
An angle that is exactly 90
c)
An angle greater than 90 and
less than 180
less than 180
21.
Obtuse Angle
a)
An angle greater than 0 and
less than 90
less than 90
b)
An angle that is exactly 90
c)
An angle greater than 90 and
less than 180
less than 180
22.
Right Angle
a)
An angle greater than 0 and
less than 90
less than 90
b)
An angle that is exactly 90
c)
An angle greater than 90 and
less than 180
less than 180
23.
Midpoint
a)
A point in the exact middle of
the two endpoints of a line
segment.
the two endpoints of a line
segment.
b)
A point between two endpoints.
c)
A point on the line segment.
24.
Angle Bisector
a)
A point at the vertex of the angle.
b)
A line that intersects an angle.
c)
A line that splits an angle into
two congruent angles.
two congruent angles.
25.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
26.
Find the midpoint of the segment with the endpoints:(-7, -13) and (-11, -5)
a)
(-9, -9)
b)
(-3, -4)
c)
(-3, 4)
d)
(-4, -3)
27.
What's the distance between (0,0) and (3,4)
a)
7
b)
49
c)
5
d)
25
28.
What is the distance between (-5, 5) and (1, -2)
a)
9.2
b)
12.6
c)
14
d)
7.8
29.
a)
100°
b)
80°
c)
90°
d)
180°
30.
a)
100°
b)
80°
c)
90°
d)
180°
31.
a)
100°
b)
80°
c)
90°
d)
180°
32.
If angle ∠ABD is 67°. What is ∠DBC?
a)
180°
b)
90°
c)
67°
d)
23°
33.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
34.
Solve
a)
134°
b)
78°
c)
180°
d)
178°
35.
Find the value of ∠A.
a)
39 degrees
b)
49 degrees
c)
51 degrees
d)
59 degrees
36.
Find the value of ∠A.
a)
79 degrees
b)
87 degrees
c)
90 degrees
d)
97 degrees
37.
Angle Q and B are...
a)
Alternate Interior Angles
b)
Same side Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
38.
Angle C and P are...
a)
Supplementary
b)
Congruent
39.
Angle R and C are...
a)
Alternate Interior Angles
b)
Same side Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
40.
Angle S and A are...
a)
Alternate Interior Angles
b)
Same side Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
41.
Angle 1 = 27o
Find the measure of angle 4
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
42.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
43.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
44.
Find the slope of the line that passes through
(-2, 8) and (0, 8)
(-2, 8) and (0, 8)
a)
0
b)
-2
c)
2
d)
1/2
45.
Find the slope of the line that passes through
(-4, 7) and (-6, -4)
(-4, 7) and (-6, -4)
a)
2/11
b)
-2/11
c)
11/2
d)
-11/2
46.
The following lines are :
y = 3x + 7
y = 3x - 5
y = 3x + 7
y = 3x - 5
a)
parallel
b)
perpendicular
c)
neither
d)
intersect
47.
The equation of the following line is
a)
x = 5
b)
x = 3
c)
x = 4
d)
x =7
48.
The equation of a line that is parallel to the following line is
y = -4x + 7
y = -4x + 7
a)
y = -4x + 5
b)
y = -14x -7
c)
y = 1/4x + 8
d)
y = -1/4x - 9
49.
The slope of a line that is perpendicular to the following equation
y = -5x + 7
y = -5x + 7
a)
-5
b)
-1/5
c)
5
d)
1/5
50.
What does the image show?
a)
parallel lines
b)
intersecting lines
c)
perpendicular lines
d)
a point
51.
What does the image show?
a)
a ray
b)
a line
c)
a line segment
d)
a point
52.
What does the image show?
a)
a ray
b)
a line
c)
an angle
d)
a line segment
53.
Name this triangle.
a)
Right, Isosceles
b)
Scalene, acute
c)
Isosceles, acute
d)
Equilateral, obtuse
54.
What does the image show?
a)
a line
b)
a line segment
c)
a ray
d)
a point
55.
Name this triangle
a)
Acute, Scalene
b)
Obtuse, Scalene
c)
Right, Isosceles
d)
Acute, Equilateral
56.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
57.
Find the measure of the indicated angle.
a)
26
b)
36
c)
85
d)
144
58.
Find the measure of each angle indicated.
a)
139°
b)
66°
c)
138°
d)
116°
59.
Find the measure of the indicated angle.
a)
145 degrees
b)
24 degrees
c)
20 degrees
d)
21 degrees
60.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
61.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
62.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
63.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
64.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
65.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
66.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
67.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
68.
What additional information is required to prove the 2 triangles are congruent by HL
a)
A)
b)
B)
c)
C)
d)
D)
69.
What additional information is required to prove the 2 triangles are congruent by ASA
a)
A)
b)
B)
c)
C)
d)
D)
70.
What additional information is required to prove the 2 triangles are congruent by SSS
a)
A)
b)
B)
c)
C)
d)
D)
71.
What additional information is required to prove the 2 triangles are congruent by SAS
a)
A)
b)
B)
c)
C)
d)
D)
72.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
In every right triangle, the height is the same.
73.
If AB = BC and BC = CD, then CD = AB is an example of what?
a)
Reflexive Property
b)
Symmetric Property
c)
Transitive Property
d)
Transformative Property
74.
What is the "statement" for step 2 of the proof?
a)
AD=AD
b)
AD=DA
c)
HD=DN
d)
HA=NA
75.
What is the "statement" for step 3 of the proof?
a)
AD=DA
b)
AD=AD
c)
HD=ND
d)
HD=DN
76.
What is the "statement" for step 3 of the proof?
a)
HA=HA
b)
blah = blah
c)
MA=AM
d)
MA=MA
77.
What is an important part of writing proofs?
a)
Guessing the answer
b)
Marking the picture
c)
Leaving answers blank
d)
Always choosing the same answers
78.
∆ABC≅∆XYZ
which is true?
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
79.
∆EHG≅∆KFC
Which is a true statement?
Which is a true statement?
a)
EH≅FK
b)
HG≅KF
c)
EG≅KC
d)
∠E≅∠C
80.
An angle that measures between 0 and 90
a)
Obtuse
b)
Acute
c)
Straight
d)
Right
81.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
82.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
83.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
84.
The Pythagorean Theorem is
a2 + b2 + c2
a2 + b2 + c2
a)
false
b)
true
85.
Name the angles from LARGEST to SMALLEST
a)
R, S, T
b)
S, T, R
c)
S, R, T
d)
T, S, R
86.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
87.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
88.
Name the sides from LARGEST to SMALLEST
a)
KJ, KH, JH
b)
JH, KH, KJ
c)
KH, KJ, JH
d)
KH, JH, KJ
89.
Two sides of a triangle are 14 cm and 19 cm. What is a possible length for the third side?
a)
5 cm
b)
11 cm
c)
33 cm
d)
40 cm
90.
What is a possible third side to a triangle with side lengths of 5 and 5?
a)
9
b)
10
c)
11
d)
12
91.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
92.
a)
22
b)
22√2
c)
44
d)
44√3
93.
a)
12
b)
6
c)
5
d)
18
94.
a)
x=2√2 y=2√2
b)
x=2 y=2
c)
x=4 y=4
d)
x=2√2 y=4
95.
Find x - the length of a leg of the triangle.
a)
6
b)
6√2
c)
2√6
d)
2
96.
Find x - the length of a leg of the triangle.
a)
9
b)
18√2
c)
9√2
d)
√2
97.
Find x.
a)
10
b)
10√2
c)
5√3
d)
5/2
98.
Find a.
a)
9
b)
9√3
c)
9√2
d)
2√3
99.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 3√3 y = 3√2
100.
a)
A
b)
B
c)
C
d)
D
101.
a)
A
b)
B
c)
C
d)
D
102.
a)
A
b)
B
c)
C
d)
D
103.
a)
A
b)
B
c)
C
d)
D
104.
a)
A
b)
B
c)
C
d)
D
105.
a)
A
b)
B
c)
C
d)
D
106.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
107.
Solve for the missing angle.
a)
50
b)
0.053
c)
36.9
d)
95
108.
Use inverse trig ratios to solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
109.
Use inverse trig ratios to solve for the missing angle
a)
49°
b)
57°
c)
45°
d)
54°
110.
What trigonometric ratio would be used to find the distance from the ship to the plane?
a)
sine
b)
cosine
c)
tangent
d)
inverse sine
111.
A building 62 feet tall casts a shadow 21 meters long. At what angle is the sun shining on the building?
a)
19.80
b)
18.71
c)
70.20
d)
71.29
112.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
113.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
114.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
115.
Are the triangles similar?
a)
Yes
b)
No
116.
Solve for x.
a)
x = 2
b)
x = -1
c)
x = 1
d)
x = 5
117.
Find the value of x.
a)
x = 4.5
b)
x = 9
c)
x = 30
d)
x = 3
118.
a)
10
b)
12
c)
14
d)
16
119.
a)
15
b)
16
c)
17
d)
18
120.
a)
0
b)
4
c)
10
d)
16
121.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
122.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
2
c)
0
d)
4
123.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
1
c)
5
d)
2
124.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
125.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
126.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
127.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
10
c)
4
d)
5
128.
Figure B is a...
a)
Rectangle
b)
Square
c)
Rhombus
129.
Figure C is a...
a)
Rectangle
b)
Square
c)
Rhombus
130.
What is this shape?
a)
Rhombus
b)
Rectangle
c)
Kite
d)
Square
131.
The diagonals of a rectangle are
a)
Congruent
b)
Parallel
c)
Perpendicular
d)
Skew
132.
A square is a rectangle.
a)
Sometimes
b)
Always
c)
Never
133.
Base angles of an isosceles trapezoid are _____.
a)
neither
b)
supplementary
c)
congruent
134.
Find the missing angle.
a)
60
b)
120
c)
140
d)
180
135.
Find the midsegment.
a)
14
b)
28
c)
12
d)
16
136.
The midsegment of a trapezoid is half the sum of the bases.
a)
True
b)
False
137.
Find the measure of the midsegment XY:
a)
21
b)
9
c)
12
d)
10.5
138.
What is C?
a)
diameter
b)
center
c)
circumference
d)
radius
139.
What is CB?
a)
diameter
b)
center
c)
circumference
d)
radius
140.
The distance across a circle through the center is called the_______________.
a)
radius
b)
circumference
c)
diameter
d)
area
141.
What is the radius if the diameter is 12 m ?
a)
24 m
b)
6 m
c)
4 m
d)
48 m
142.
What is the radius if the diameter is 40 m ?
a)
80
b)
20
c)
8
143.
What is the diameter of a circle with a radius of 10 in?
a)
20
b)
5
c)
40
144.
What is the formula for circumference of a circle given the radius?
a)
C = pi x r
b)
C = pi x 2r
c)
C = pi x D
d)
C = pi x 2D
145.
What is the formula for circumference of a circle given the diameter?
a)
C = pi x r
b)
C = pi x 2r
c)
C = pi x D
d)
C = pi x 2D
146.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
147.
Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?
a)
28 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
148.
What is the circumference of a circle with a radius of 54 m?
a)
339.12 m
b)
169.56 m
c)
84.78 m
149.
Find the diameter of a circle with a circumference of 40.82 inches.
a)
12 inches
b)
13 inches
c)
20.41 inches
d)
22 inches
150.
Find the radius of a circle with a circumference of 59.66 feet.
a)
19 feet
b)
25.5 feet
c)
13.5 feet
d)
9.5 feet
151.
What is the m∠U?
a)
38
b)
19
c)
76
d)
90
152.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
153.
What is the measure of arc KL?
a)
108
b)
106
c)
110
d)
112
154.
solve for the missing angle
a)
45o
b)
90o
c)
22.5o
d)
128o
155.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
156.
is the formula for?
a)
arc length
b)
area of a sector
c)
area of a segment
d)
arc measure
157.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
158.
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
159.
Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.
a)
47
b)
74
c)
94
d)
123
160.
is the formula for?
a)
arc length
b)
area of a sector
c)
area of a segment
d)
arc measure
161.
Find the area of the dark blue sector shown at the left. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units. Express answer to thenearest tenth of a square unit.
a)
0.3 square units
b)
15.7 square units
c)
19.7 square units
d)
50.3 square units
162.
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.
163.
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
164.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
165.
Find x
a)
10
b)
5
c)
18
d)
9
166.
What is the value of x?
a)
10
b)
4
c)
5
d)
8
167.
Solve for x.
a)
6
b)
7.94
c)
8
d)
9
168.
Solve for x.
a)
5
b)
8.66
c)
10
d)
20
169.
Solve for x.
a)
7.94
b)
8
c)
10.58
d)
112
170.
Solve for d.
a)
8
b)
9
c)
10
d)
12
171.
A line in the same plane as a circle that intersects the circle at exactly one point is a ____________.
a)
tangent
b)
secant
c)
chord
d)
radius
172.
A tangent to a circle is ________________________ to the radius drawn to the point of tangency.
a)
congruent
b)
perpendicular
c)
complimentary
d)
supplementary
173.
Is line AB tangent to the circle?
a)
YES
b)
NO
c)
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