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

A

degrees

21
Q

arcs are measured in

A

degrees

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
Q

minor arcs are name by how many letters

A

2

26
Q

Major arcs your name by how many letters

A

3

27
Q

The measure of a central angle is the ______ as the measure of its intercepted arc

A

same

28
Q

How to find the measure of a major are given a minor arc

A

360-minor arc

29
Q

two arcs are _______ if they share a common endpoint

A

Adjacent

30
Q

lil arc + little arc

A

= big arc

31
Q

arcs are congruent if they have…

A

The same measure in the same circle or in different circles

32
Q

If two chords are congruent

A

Then their corresponding arcs are congruent

33
Q

If the diameter of a circle is perpendicular to a cord

A

then the diameter by six the cord and it’s arc

34
Q

If 2 quarts are equal distance from the center

A

Then the two cords are congruent

35
Q

inscribed angle

A

An angle whose vertex is on the circle, and who sides contain chords of the circle

36
Q

The measure of an inscribed angle is

A

Half of it intercepted arc

37
Q

If two or more inscribed angles of a circle intercept the same arc

A

Then the inscribed angles are congruent

38
Q

if all the vertices of a polygon lie on a circle then we say that the polygon is _______ in the circle

A

Inscribed

39
Q

If an inscribed angle of a triangle intercepts the semi circle, and therefore the diameter

A

Then the inscribed angle is a right angle

40
Q

if a quadrilateral is inscribed in a circle

A

Then it’s opposite angles are supplementary

41
Q

Dead giveaway for (diameter is perpendicular to the cord bisects the cord and arc)

A

one 90 angle

42
Q

Dead giveaway for (two cords, congruent if they are equidistant from the center)

A

two 90 angles