WorksheetsCircles Flashcards
Total questions: 103
Worksheet time: 4hrs 31mins
A minor arc has (a) 180°. A major arc has (b) 180°. A semicircle has (c) 180°.
How many chords does the circle contain?
0
1
2
3
Identify all radii.
DB, FC, BF
FC, DF, FB
EA, DB, FB
CF, DF, EA
Identify a chord.
RT
LT
WL
LR
Identify a radius.
RS
ST
WL
RT
Name the circle.
Circle R
Circle T
Circle S
Circle L
A __________ is the longest chord in a circle and goes through the center of a circle.
Diameter
Arc
Chord
Radius
A __________ is a segment that connects the center of a circle to a point on the circle.
Chord
Radius
Diameter
Arc
A __________ is the set of all points equidistant from a common point.
Circle
Diameter
Radius
Chord
BP is a
Radius
Diameter
Chord
Point of Tangency
Select all that apply. BT is a
Chord
Diameter
Line
Radius
Line AB is a
Diameter
Secant Line
Tangent Line
Radius
The place where the tangent line touches the circle is called the
Point of Tangerine
Point of Transparency
Point of Tangency
Point of Tangential
A line that touches (intersects) the circle only once from the outside.
Secant
Chord
Tangent
Line
Line PQ and Line RQ are examples of
Secant Lines
Tangent Lines
Outside Lines
Tangerine Lines
ABD
BDA
AB
BD
Name the part shown in the given circle.
Sector
Chord
Segment
Circumference
What is this called?
Chord
Minor arc
Secant
Diameter
What is this called?
Tangent Line
Secant
Chord
Diameter
Value of x is equal to 90°
True
False
What type of arc is arc AEB?
Major
Minor
Semi-circle
Noah's
What is/are the formula(s) to find the area of a circle?
πr2
2πr
√π
is the formula for?
arc length
area of a sector
area of a segment
arc measure
Name the circle part shown in green
Sector
Arc
Segment
Radius
Name the circle part shown
Arc
Sector
Chord
Radius
What is being represented in the image?
Central Angle
Interior Angle
Chord
Diameter
What is being represented in the image?
Radius
Tangent
Interior Angle
Exterior Angle
What is being represented in the image?
Arc
Chord
Central Angle
Concentric Circles
What is being represented in the image?
Interior Angles
Inscribed Angles
Diameter
Concentric Circles
What is being represented in the image?
Inscribed Angle
Interior Angle
Secant
Radius
Line j is an example of a ______
chord
tangent
diameter
secant
What is an example of a point of tangency?
A
F
H
B
Which of the following represents a radius
segment GD
line XM
segment JD
segment AC
Which of the following represents a secant?
segment GD
line XM
segment AC
line AC
Which of the following represents a tangent?
line XM
point X
segment AC
line AC
Which is a true statement about the angles in the circle?
∠1 = ∠2 and ∠3 = ∠4.
∠1 = ∠3 and ∠2 = ∠4.
∠1 = ∠4 and ∠2 = ∠3.
None of the angles have the same measure.
An inscribed angle is ___________ its intercepted arc.
equal to
half the measure of
supplementary to
not related to
What is the difference between a tangent line and a secant line?
A secant intersects the circle twice; a tangent touches the circle once
A tangent intersects the circle twice; a secant touches the circle once
A secant goes through the center of the circle; a tangent does not
A secant is outside the circle; a tangent is inside the circle
What is the formula to use to find a central angle
Central Angle = Intercepted Arc
Intercepted ArcCentral Angle
2Intercepted Arc
2(Intercepted Arc)
What is the formula to use when solving for an inscribed angle?
2Intercepted Arc
Equal to the Intercepted Arc
2(Intercepted Arc)
22(Intercepted Arc)
If a quadrilateral is inscribed in a circle, the opposite angles are
Supplementary
Congruent
Complimentary
What is the formula to use when solving for an intercepted arc of an inscribed angle?
2Inscribed Angle
Equal to the Inscribed Angle
2(Inscribed Angle)
22(Inscribed Angle)
If 2 inscribed angles intercept the same arc, they are _.
Congruent
Supplementary
Complimentary
What is the formula used when finding an angle formed by an intersecting secant and tangent on the circle?
2Inscribed Angle
2(Inscribed Angle)
2(Intercepted Arc)
2Intercepted Arc
What is the formula to use when solving for a segment length of intersecting chords in a circle?
ab=cd
a(a+b)=c(c+d)
a2=b(b+c)
a+b=c+d
What is the formula to use when solving for an exterior angle formed by 2 exterior intersecting secants, an exterior intersecting secant and tangent, or 2 exterior intersecting tangents of a circle?
2Major Arc−Minor Arc
2Major Arc +Minor Arc
2(Major Arc + Minor Arc)
Major Arc - Minor Arc
If 2 segments from the same external point are tangent to a circle, then they are_.
Supplementary
Congruent
Complimentary
What is the formula to use when solving for arcs/angles in circles with intersecting chords?
2Minor Arc−Major Arc
Major Arc−Minor Arc
2Major Arc−Minor Arc
2Major Arc+Minor Arc
Chord
A line in the plane of a circle that intersects the circle in exactly one point
Segment whose endpoints are on a circle
An arc with endpoints on the sides of an inscribed angle and other points in the interior of the angle
The set of all coplanar points equidistant to a given point called the center
Intercepted Arc
A line in the plane of a circle that intersects the circle in exactly one point
Segment whose endpoints are on a circle
An arc with endpoints on the sides of an inscribed angle and other points in the interior of the angle
The set of all coplanar points equidistant to a given point called the center
Point of Tangency
Where a circle and a tangent intersect
An angle whose vertex is on the circle and whose sides are chords of the circle
Intersects a circle at two points
Angle whose vertex is at the center of the circle
Inscribed Angle Theorem
m∠B=21mAC
The product of a secant and its outer segment equals the square of the tangent.
The products of secants and their outer segments are equal.
The products of secants and their outer segments are equal.
Inscribed Angle
Where a circle and a tangent intersect
An angle whose vertex is on the circle and whose sides are chords of the circle
Intersects a circle at two points
Angle whose vertex is at the center of the circle
Tangent Line
A line in the plane of a circle that intersects the circle in exactly one point
Segment whose endpoints are on a circle
An arc with endpoints on the sides of an inscribed angle and other points in the interior of the angle
The set of all coplanar points equidistant to a given point called the center
Secant
Where a circle and a tangent intersect
An angle whose vertex is on the circle and whose sides are chords of the circle
Intersects a circle at two points
Angle whose vertex is at the center of the circle
Central Angle
Where a circle and a tangent intersect
An angle whose vertex is on the circle and whose sides are chords of the circle
Intersects a circle at two points
Angle whose vertex is at the center of the circle
The segments formed from two chords that intersect in the interior of a circle
semicircle
secants
segments of a chord
A segment that contains a chord of a circle, and has exactly one endpoint outside the circle
secant segment
tangent segment
point of tangency
If the endpoints of a chord or arc lie on the sides of an inscribed angle, the chord or arc is said to ____________ the angle
tangent
secant
subtend
Select the theorem used to find the missing segment.
Intersecting Interior Chords
Intersecting Exterior Secants
Intersecting Exterior Secant and Tangent
Where in the intersection of the secants shown?
Inside the circle
Outside the circle
On the circle
The secants do not intersect.
Where in the intersection of the secants shown?
Inside the circle
Outside the circle
On the circle
The secants do not intersect.
Where in the intersection of the chords shown?
Inside the circle
Outside the circle
On the circle
The chords do not intersect.
What is the intercepted arc of <3?
arc QP
arc QR
arc PS
arc RS
What is the intercepted arc of <1?
arc AB
arc CD
arc AD
arc BC
AC is a...Secant
Tangent
Chord
Point of Tangency
Which of the following statements is true if two tangents are drawn to a circle from an external point?
the two tangents are secants
the radius is perpendicular to the chord
the tangent segments are congruent
the products of their segments are equal
How would you find the measure of the angle formed by two secants intersecting outside the circle?
twice the difference of the two intercepted arcs
thrice the difference of the two intercepted arcs
one-half the difference of the two intercepted arcs
one-third the difference of the two intercepted arcs
If two chords intersect each other inside a circle, then the products of their segments are equal. What theorem corresponds to this statement?
Radius-Tangent
Intersecting Chords/Two-Intersecting Chords
Perpendicular Chords
Secant-Tangent
The region bounded by an arc and its chord.
Arc Length
Segment of a circle
Sector of a circle
Tangent
