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WorksheetsCircle Geometry Quiz
Total questions: 43
Worksheet time: 22mins
What is a chord in the context of a circle?
A line that intersects the circle at exactly one point
A segment whose endpoints lie on a circle
The set of all points in a plane at a given distance from a given point in the plane
A segment from a point on a circle or a sphere to the center
Which term describes a line that contains the center of a circle?
Radius
Chord
Diameter
Secant
What is the definition of a tangent to a circle?
A line that intersects the circle at exactly one point
A line that contains a chord
A segment whose endpoints lie on a circle
Circles that lie in the same plane that share the same center
What is a radius of a circle?
A line that contains the center of a circle
A segment from a point on a circle or a sphere to the center
A line that intersects the circle at exactly one point
Circles with the same radius
What are congruent circles?
Circles that lie in the same plane that share the same center
Circles with different radii
Circles with the same radius
A line that contains a chord
What defines concentric circles?
Circles with the same radius
Circles that intersect at two points
Circles that lie in the same plane that share the same center
A segment whose endpoints lie on a circle
What is the definition of an inscribed angle?
Angle whose vertex is the center of a circle and whose sides contain radii of the circle
Angle whose vertex lies on a circle and whose sides contain chords of the circle
Distance around a circle, that is, the perimeter of a circle
An arc of a circle whose endpoints are the endpoints of a diameter
What does the central angle of a circle refer to?
Angle whose vertex lies on a circle and whose sides contain chords of the circle
Distance around a circle, that is, the perimeter of a circle
Angle whose vertex is the center of a circle and whose sides contain radii of the circle
An arc of a circle whose length is greater than the length of a semicircle of the circle
What is the circumference of a circle?
A fractional distance of the circumference of a circle defined by the arc
Two points on a circle and the continuous part of the circle between the two points
Distance around a circle, that is, the perimeter of a circle
An arc of a circle whose endpoints are the endpoints of a diameter
How is arc length defined?
Distance around a circle, that is, the perimeter of a circle
Two points on a circle and the continuous part of the circle between the two points
A fractional distance of the circumference of a circle defined by the arc
An arc of a circle whose endpoints are the endpoints of a diameter
What is an arc of a circle?
An arc of a circle whose length is less than the length of a semicircle of the circle
Two points on a circle and the continuous part of the circle between the two points
An arc of a circle whose length is greater than the length of a semicircle of the circle
Distance around a circle, that is, the perimeter of a circle
What defines a semicircle?
An arc of a circle whose length is less than the length of a semicircle of the circle
An arc of a circle whose endpoints are the endpoints of a diameter
Distance around a circle, that is, the perimeter of a circle
An arc of a circle whose length is greater than the length of a semicircle of the circle
What is a minor arc?
An arc of a circle whose length is less than the length of a semicircle of the circle
An arc of a circle whose endpoints are the endpoints of a diameter
Distance around a circle, that is, the perimeter of a circle
An arc of a circle whose length is greater than the length of a semicircle of the circle
What is a major arc?
An arc of a circle whose length is less than the length of a semicircle of the circle
An arc of a circle whose endpoints are the endpoints of a diameter
Distance around a circle, that is, the perimeter of a circle
An arc of a circle whose length is greater than the length of a semicircle of the circle
What is the formula for the circumference of a circle?
C = πd
C = πr^2
C = 2πr^2
C = d/π
How is the arc length of arc NQ calculated?
Arc length of NQ = m∠NQ / 2πr
Arc length of NQ = m∠NQ * πr^2 / 360°
Arc length of NQ = m∠NQ * 2πr / 360
Arc length of NQ = 2πr / m∠NQ
What is the area of sector APB?
Area of sector APB = [m Arc APB/360°] * πr^2
Area of sector APB = πr^2 / m∠APB
Area of sector APB = 2πr / m∠APB
Area of sector APB = m∠APB / πr^2
What is the standard form of the equation of a circle with center (h,k) and radius r?
(x - h)^2 + (y - k)^2 = r^2
(x + h)^2 + (y + k)^2 = r^2
(x - h)^2 - (y - k)^2 = r^2
(x + h)^2 - (y + k)^2 = r^2
In the context of arcs and angles, what does m∠LB equal?
m∠LB = m∠AC
m∠LB = 2 * m∠AC
m∠LB = 1/2 * m∠AC
m∠LB = 1/4 * m∠AC
Which of the following represents the relationship between the lengths in the diagram labeled "Length" I.?
a + b = c + d
a * b = c * d
a - b = c - d
a = b = c = d
What is the relationship between the lengths in the diagram labeled?
(w + x)w = (y + z)y
(w + x)w = (y + z)z
(w + x)x = (y + z)y
(w + x)x = (y + z)z
What is the relationship between the lengths in the diagram labeled?
(y + z)y = p^2
(y + z)z = p^2
(y + z)y = t^2
(y + z)z = t^2
What does the segment UV represent in the figure?
Center of the circle
Radius of the circle
Diameter of the circle
Non-diameter chord of the circle
What is represented by point P in the figure?
Center of the circle
Radius of the circle
Diameter of the circle
Non-diameter chord of the circle
Which segment represents the radius of the circle?
VT
PQ
RT
UV
What does the segment VT represent in the figure?
Chord
Central angle
Diameter
Major arc
What does the angle ∠UVT represent in the figure?
Semicircle
Central angle
Inscribed angle
Major arc
What does the angle ∠QPU represent in the figure?
Semicircle
Central angle
Inscribed angle
Major arc
Which segment represents the diameter of the circle?
VT
PQ
RT
UV
What does the segment PQ represent in the figure?
Radius
Central angle
Inscribed angle
Major arc
According to the Tangent Theorem, how is the tangent line related to the radius of the circle at the point of tangency?
The tangent line is parallel to the radius.
The tangent line is perpendicular to the radius.
The tangent line intersects the radius at an acute angle.
The tangent line is the same as the radius.
What is the length of XW?
TX = 5
XV = 8
UX = 10
XW = ?
15
4
50
40
Using Secant Theorem 2, what is the value of DF when DE = 6, DG = 18, and DH = 8?
DF • DE = DG • DH
12
14
16
24
According to the Tangent-Secant Theorem, if KL = 3 and LM = 9, what is the value of KM?
6
12
27
3
Using the Tangent-Secant Theorem, if KL = 3 and KM = 12, what is the value of JK squared?
36
81
108
27
Based on the Equivalent Tangent Theorem, if AB = AC, AB = 5, what is the length of AC?
5
10
15
20
What is a tangent to a circle?
A line that intersects the circle in exactly two points.
A line that is perpendicular to the radius at the point of tangency.
A line that contains no interior points of the circle and intersects the circle in exactly one point.
A line that contains a chord of the circle.
What is a secant in relation to a circle?
A line that touches the circle at one point and is perpendicular to the radius.
A line that intersects the circle in exactly one point.
A line that intersects the circle in exactly two points and contains a chord of the circle.
A line that is parallel to the tangent of the circle.
How is the measure of an inscribed angle related to the measure of its intercepted arc?
The measure of an inscribed angle is equal to the measure of the intercepted arc.
The measure of an inscribed angle is twice the measure of the intercepted arc.
The measure of an inscribed angle is one-half the measure of the intercepted arc.
The measure of an inscribed angle is one-third the measure of the intercepted arc.
How is the measure of a central angle related to the measure of its intercepted arc?
The measure of a central angle is one-half the measure of the intercepted arc.
The measure of a central angle is twice the measure of the intercepted arc.
The measure of a central angle is equal to the measure of the intercepted arc.
The measure of a central angle is one-third the measure of the intercepted arc.
Given that the arcs are 60° and 50°, what is the measure of ∠2?
A) 55°
B) 110°
C) 45°
D) 25°
Given that the arcs are 160° and 70°, what is the measure of ∠1?
A) 45°
B) 90°
C) 55°
D) 80°
If a secant and a tangent intersect in the exterior of a circle, the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Given that the arc is 242°, what is the measure of ∠1?
A) 62°
B) 242°
C) 60°
D) 181°
