Chapter 10 Flashcards

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:

23
Q

Line symbol:

24
Q

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

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