WorksheetsG-CHAPTER 9 TEST 2023-2024
Total questions: 148
Worksheet time: 13hrs 30mins
Is the set of all points that are of the same distance from point in a plane.
chord
circle
plane
chord
The segment from the center to any point on the circle is called__________.
chord
radius
diameter
segment
A segment whose endpoints both lie on the circle is called _______.
chord
diameter
radius
arc
A chord that passes through the center of the circle is called ________.
radius
major arc
interior of the corcle
diameter
A ___________ is an angle whose vertex is the center of the circle.
central angle
inscribed angle
right angle
obtuse angle
Define "tangent line"
A line which intersects a circle at exactly one point
A line that intersects a circle at two or more points
A line that does not intersect a circle
A line made up of the opposite and adjacent sides of the circle
Define "radius"
The measurement from the center of a circle to an edge of the circle.
The measurement around the circle
The measurement from and edge of the circle to another edge through the center
A line perpendicular to the diameter of the circle
What is the mathematical name given for the line AB?
Radius
Diamter
Tangent
Chord
What is the mathematical name given for the line AB?
Diameter
Radius
Tangent
Chord
What is the measure of a semicircle?
60
180
70
90
How many total degrees make a circle?
360°
180°
90°
45°
Which of the following represents a central angle?
What is does x equal?
160°
80°
40°
360°
What is the measure of
∠QSP ?80°
100°
140°
220°
What is the measure of
∠UWT ?210°
150°
130°
80°
A central angle has it's vertex _________ the circle
at the center of
on
outside
inside
A central angle is __________ its intercepted arc
equal to
half the measure of
supplementary to
not related to
Give an example of a chord
line HI
line KL
line GH
line GJ
Find PK.
7
22
44
11
Find the arc measure for arc RQT
335˚
126˚
224˚
94˚
Find the measure of arc NM.
60
55
65
180
Solve for the indicated Segment
17
22
5.5
11
Solve for the indicated Arc
80°
40°
140°
180°
Find the given angle.
59°
78°
43°
242°
What is the arc measure FE?
54°
90°
27°
31.5°
What is x?
15
23
2
92
Solve for x.
37.5
11
118
15
Solve for x.
90
12
47
45
65°
125°
92°
152°
258°
129°
188°
169°
A
B
C
D
A
B
C
D
A
B
C
D
b=93 degrees
b=74 degrees
b=106 degrees
b=87 degrees
Determine if a tangent line is shown in the picture.
Tentukan adakah terdapat garis tangen dalam rajah di atas.
Yes
No
Determine if a tangent line is shown in the picture.
Pastikan sama ada garis tangen adalah betul.
Yes
No
Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.
Andaikan terdapat garis tangen dalam bulatan, O. Cari nilai x yang paling hampir.
11.7
10.8
13.0
14.2
Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.
Andaikan terdapat garis tangen dalam bulatan berpusat O, cari nilai bagi x kepada puluh terdekat.
16 in
8 in
11 in
6 in
Point O is the center of each circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?
Titik O ialah pusat bulatan. Andaikan garis yang wujud adalah tangen. Apakah nilai bagi pembolehubah?
8
9
15
17
AC is a tangent to circle O at point C. What is the length of AC?
12 cm
13 cm
14 cm
15 cm
Which shows a tangent line?
Determine if a tangent line is shown in the picture.
Yes
No
Note Sure
XV is the diameter of the circle. That makes angle W, what type of angle?
obtuse
acute
right
Find the measure of angle V
42°
90°
48°
WX is what part of the circle?
Diameter
Radius
Tangent
Solve for x
39°
96°
180°
Find the measure of angle W
84°
96°
51°
Angle L measures
145o
45o
90o
35o
Angle R is right because
the triangles is circumscribed and SQ is a radius
the triangles is inscribed and SQ is a radius
the triangles is inscribed and SQ is a diameter
triangle QRS is inscribed
Angle K measures
90o
35o
65o
55o
The measure of arc XW is
45
90
135
67.5
The measure of arc XW is
112
180
68
248
Find the measure of
∠U.
(a)
What is the measure of
arc GI
(a)
Find the measure of angle FGH
45°
180°
90°
75°
What is the arc measure FE?
54°
90°
27°
31.5°
Solve for x.
90
12
47
45
If m∠CBD is 34° , what is the measure of arc BAC ?
112°
56°
68°
34°
Find the m∠VXW.
35
55
40
25
∠K=
45°
135°
88°
8°
∠V=
84°
129°
49°
96°
b=93 degrees
b=74 degrees
b=106 degrees
b=87 degrees
Solve for x.
14
10
11
2
Find the value of d.
115
65
96
180
b=93 degrees
b=74 degrees
b=106 degrees
b=87 degrees
Find the value of x
100
105
95
90
Find the value of d.
115
65
96
180
Quadrilateral ABCD is inscribed in circle O, as shown below.
x = 85 and y = 50
x = 90 and y = 45
x = 110 and y = 75
x = 115 and y = 70
If a quadrilateral is inscribed in a circle, then its ____angles are _____.
adjacent; complimentary
opposite; complimentary
adjacent; supplementary
opposite; supplementary
Quadrilateral ABCD is inscribed in the circle. Which sentence is true?
A and B are supplementary
A and C are supplementary
m∠ A = m∠ B
m∠ C = m∠ D
In the diagram below, quadrilateral JUMP is inscribed in a circle..
Opposite angles J and M must be
right
complementary
supplementary
congruent
What is the measure of arc EAB in circle F?
*HINT: Find ARC CB FIRST THEN 2( ANGLE EDC) =ARC EAB*
72
92
148
200
What is the measure of arc EAB in circle F?
72°
92°
148°
200°
Find the value of x.
45
10
20
90
Find the value of x.
88
38
34
44
Find the value of x.
15
18
21
24
Find the value of x.
20.5
9.5
3
5
Find the measure of angle MNQ.
89
158
91
22
Determine the measure of ∠NOP
15°
20°
40°
50°
∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132° , what is the measure of ∠ ABD?
30°
36°
42°
48°
If arc VY = 132° and ∠ YUV = 41° , what is the measure of arc XV?
35°
40°
45°
50°
What is the definition of a chord?
A line segment whose endpoints are on a circle.
A line that passes through the center of the circle.
A line segment that intersects at a point on the circle.
A line that intersects a circle in two points.
What is the definition of a tangent?
A line that intersects the circle on two points.
A line that passes through the center of the circle.
A line segment that passes through the center of the circle.
A line that intersects the circle on only one point.
What is the definition of a secant?
A line segment whose endpoints are on the circle.
A line that intersects a circle in one point.
A line that intersects a circle in two points.
A line segment which intersects the circle at the point of secancy.
What is the point of tangency?
The point where the tangent intersects a circle.
The point where the tangent interssects the center of the circle.
The point where the tangent intersects with another tangent.
The point where the tangent intersects with a secant.
