Chapter 10 Flashcards

1
Q

circle

A

A set of all points that are equal distance from the center point

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2
Q

radius

A

The distance from the center to a point on the circle

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3
Q

all radii within a circle must be

A

congruent

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4
Q

Two different circles I have the same length radii are

A

Congruent

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5
Q

Two different circles with different length radii are

A

similar

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6
Q

diameter

A

hey, segment through the center which also connect to point on the circle

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7
Q

radius equals

A

1/2 diameter

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8
Q

diameter equals

A

Two times radius

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9
Q

chord

A

any segment, which connects two points of a circle

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10
Q

concentric circles

A

Coplanar circles that have a common center

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11
Q

tangent

A

A line in the same plane as a circle that intersects a circle at exactly 1 point

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12
Q

point of tangency

A

The point at which the tangent intersects with the circle

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13
Q

common tangent

A

A line that is tangent of two coplanar circles at the same time

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14
Q

if a line is tangent to a circle…

A

then it is perpendicular to the radius, drawn, from the point of tangency

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15
Q

tangent and radius are

A

perpendicular

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16
Q

if two segments from the same exterior point, or tangent to a circle

A

then the two segments are congruent AKA ice cream cone theorem

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17
Q

central angle

A

An angle, whose vertex is the center of a circle

18
Q

arc

A

Part of a circle

19
Q

intercepted arc

A

The part of the circle that is inside of the angle

20
Q

circles are measured in

21
Q

arcs are measured in

22
Q

semi circle

A

If the endpoints of an arc, or the endpoints of a diameter than the arc is a semi circle

23
Q

minor arc

A

Less than half of a circle (greater than 0, less than 180)

24
Q

major arc

A

more than half of a circle (greater than 180 and less than 360)

25
minor arcs are name by how many letters
2
26
Major arcs your name by how many letters
3
27
The measure of a central angle is the ______ as the measure of its intercepted arc
same
28
How to find the measure of a major are given a minor arc
360-minor arc
29
two arcs are _______ if they share a common endpoint
Adjacent
30
lil arc + little arc
= big arc
31
arcs are congruent if they have…
The same measure in the same circle or in different circles
32
If two chords are congruent
Then their corresponding arcs are congruent
33
If the diameter of a circle is perpendicular to a cord
then the diameter by six the cord and it’s arc
34
If 2 quarts are equal distance from the center
Then the two cords are congruent
35
inscribed angle
An angle whose vertex is on the circle, and who sides contain chords of the circle
36
The measure of an inscribed angle is
Half of it intercepted arc
37
If two or more inscribed angles of a circle intercept the same arc
Then the inscribed angles are congruent
38
if all the vertices of a polygon lie on a circle then we say that the polygon is _______ in the circle
Inscribed
39
If an inscribed angle of a triangle intercepts the semi circle, and therefore the diameter
Then the inscribed angle is a right angle
40
if a quadrilateral is inscribed in a circle
Then it’s opposite angles are supplementary
41
Dead giveaway for (diameter is perpendicular to the cord bisects the cord and arc)
one 90 angle
42
Dead giveaway for (two cords, congruent if they are equidistant from the center)
two 90 angles