Chapter 10 Flashcards

(70 cards)

1
Q

Circle:

A

A closed shape with all points equidistant from the center

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2
Q

Radius:

A

A segment from the center to the circumference

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3
Q

Circumference:

A

The distance around a circle

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4
Q

Secant:

A

A line that intersects the circle exactly twice

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5
Q

Tangent:

A

A line that intersects the circle exactly once

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6
Q

Chord:

A

A segment with its endpoints on the circles circumference

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7
Q

Diameter:

A

A chord through the center of a circle

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8
Q

Point of tangency:

A

The point that the tangent crosses on the circle.

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9
Q

Semicircle:

A

Half of the circumference

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10
Q

Major arc:

A

More than half of the circumference

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11
Q

Minor arc:

A

Less than half of the circumference

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12
Q

Circular arc:

A

A portion of a circle measured by the central angle, 0

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13
Q

Center:

A

A point in the middle of a circle

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14
Q

Central angle:

A

An angle whose vertex is the center of the circle

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15
Q

Line segment:

A

A line that has a definite beginning and end

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16
Q

Concentric circles:

A

circles that have a common center and have no points of intersection

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17
Q

Tangent circles: c

A

Circles with exactly one point of intersection.

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18
Q

Perpendicular bisector:

A

a line or line segment that intersects at 90 and divides into two equal parts

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19
Q

Inscribed polygon:

A

A polygon whose vertices intercept the circumference of a circle.

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20
Q

Pythagorean thrm:

A

A^2 + b^2 = c^2
* b = bottom of triangle
* c (hypotenuse)

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21
Q

Circumscribed circle:

A

the circle that contains the vertices of an inscribed polygon

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22
Q

Segment symbol:

A

<—->

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23
Q

Line symbol:

A
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24
Q

The point in the middle of a circle is the _____ of the circle

A

Name

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25
Standard equation of a circle:
(x - h)^2 + (y-k)^2 = r^2
26
Center (___,____)
H,k
27
r =
Radius
28
Two negatives turn _____.
Positive
29
In the standard equation remember to put the ____ __ of the number into the calculator
Square root
30
Formula for origin:
X^2 + y^2 = r^2
31
If something has a square root next to it then it is ____.
Doubled
32
Find The standard equation and complete the square:
(a/2)^2
33
Find the product: ___ ________ method
Box multiplication
34
Measure of a minor arc = _____ of its _____ angle
Measure Central
35
m AB = the ____ of arc AB
Measure
36
Measure of an entire circle =
360
37
Major arc = ___ - number of known arc
360
38
Measure of semicircle =
180
39
The measure of the arc formed by the adjacent arcs is the ____ of those arcs Formula: m ABC = m____ + m ____
Sum AB BC
40
Circles with the same ____ are ____. All circles are _____. Formula: .A congruent.B if and only ___ congruent sign _____
Radius Congruent Similar (dilations) AC BD
41
Two ___ arcs of congruent circles are congruent if an only if corresponding ___ angles are _____.
Minor Central Congruent
42
Circumference formula:
πd or 2πr
43
Area formula:
π r^2
44
A quadrilateral can be inscribed in a circle if and only if it's _____ angles are _________.
Opposite Supplementary
45
D,e,f and g lie on . C if and only if m
180
46
Opposite angles in a quadrilateral=
180
47
If right ____ in circle, then hypotenuse has to be ______
Triangle Diameter
48
Anything that is positive in a standard equation is ____
-
49
Circle with angle in percentages: ____/_____ 3.6 × ___
360 100 Measure of x (unknown angle)
50
Inscribed angle: angle whose ____ is in a circle and whose sides contain ____ of the circle
Vertex Chords
51
Intercepted arc: arc that lies between 2 ___,___,or ____
Lines Rays Segment's
52
Signature is extra credit on test SO PRACTICE IT!
53
The measure of an ____ angle is ___-___ the measure of its _______ arc
Inscribed One half Intersepted
54
If 2 _____ angles of a circle ____ the same arc, then the angles are ____.
Inscribed Intersept Congruent
55
Inscribed angles are ____ of the measure of the _____ arc
Half Intercepted
56
Average:
Add and divide by the number of numbers that are being added
57
The angle that _____ on the circle is ___ of the intercepted arc Formula: m<1 = __/_ mAB
Intersects Half 1/2
58
The angle that ____ in the circle is ____ of the avg of the corresponding intercepted arcs Formula: m<1= measure of arc 1 + measure of arc 2 /2
Intersects Half
59
The angle that ____ outside the circle is the measure of the ____ arc - ____ arc
Intersects Bigger Smaller
60
Tangent line to circle them: Line is tangent to a circle if and only if that line is ______ to a ____ of the circle at its ____ on the circle
Perpendicular Radius Endpoint
61
External tangent congruence thrm:_____ segment's from a common _____ _____are congruent
Tangent External point
62
2 minor arcs are congruent if and only their _____ ____ are congruent
Corresponding chords
63
If the diameter is _____ to a chord, then the diameter _____ the chord and it's ____. Which makes the two split parts of the chords _____ and the same applies to the ____.
Perpendicular Bisects Arc Congruent Arc
64
Two chords are congruent if and only if they are _____ from the _____.
Equidistant Center
65
If two _____intersect in the _____ of a circle, then the product of the lengths of the segments of 1 choir is equal to the ____ of the lengths of the segments of the other chord
Chords Interior X
66
External segment: segment that's _____.
Outside
67
Seacant segment: all of the points on the _____ segment
External
68
If a _____ segment and a ____ segment share an endpoint outside a circle then the product of the lengths of the seacant segment and it's external segment = the ___ of the length of the _____ segment Formula: (________) (Entire _________) = Tangent
Seacant Tangent Square Tangent Formula: external Seceant
69
Arc length: Arclength / _____ = m of arc/ _____ or m of ___/____ × 2πr
- 2πr 360 - Arc 360
70
π =
3.14