Geometry: Unit 10 Circles- Tangents, Chords, Arcs, Angles (copy)

0.0(0)
studied byStudied by 41 people
0.0(0)
full-widthCall Kai
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
GameKnowt Play
Card Sorting

1/24

flashcard set

Earn XP

Description and Tags

Geometry & Trigonometry

Circles

SAT

Math

Study Analytics
Name
Mastery
Learn
Test
Matching
Spaced

No study sessions yet.

25 Terms

1
New cards

Circle

A set of all points a given distance (radius) from a given point, called the center

<p>A set of all points a given distance (radius) from a given point, called the center</p>
2
New cards

Chord

A segment with its endpoints on the circle

<p>A segment with its endpoints on the circle</p>
3
New cards

Diameter

The longest chord of a circle that always passes through the center

<p>The longest chord of a circle that always passes through the center</p>
4
New cards

Arc

A continuous portion of between two points on the circle

<p>A continuous portion of between two points on the circle</p>
5
New cards

Semi-circle

An arc that is half a circle, the arc’s endpoints are at the diameter, arc measure is 180°

<p>An arc that is half a circle, the arc’s endpoints are at the diameter, arc measure is 180°</p>
6
New cards

Minor Arc

An arc that is smaller than semi-circle, the arc measure is less than 180°

<p>An arc that is smaller than semi-circle, the arc measure is less than 180°</p>
7
New cards

Major Arc

An arc that is larger than a semi-circle, the arc measure is greater than 180°

<p>An arc that is larger than a semi-circle, the arc measure is greater than 180°</p>
8
New cards

Secant

A line that intersects the circle at exactly two points

<p>A line that intersects the circle at exactly two points</p>
9
New cards

Tangent

A line that intersects the circle at exactly one point or touches the circle at 1 point

<p>A line that intersects the circle at exactly one point or touches the circle at 1 point</p>
10
New cards

Sector

An area of circle bounded by two radii and an arc

<p>An area of circle bounded by two radii and an arc</p>
11
New cards

Tangent Conjecture

A tangent to a circle is perpendicular to the radius drawn to the point of tangency.

<p>A tangent to a circle is perpendicular to the radius drawn to the point of tangency.</p>
12
New cards

Tangent Segment Conjecture

Tangent segments to a circle from a point outside the circle are congruent.

<p>Tangent segments to a circle from a point outside the circle are congruent.</p>
13
New cards

Internally Tangent Circle

knowt flashcard image
14
New cards

Externally Tangent Circle

knowt flashcard image
15
New cards

Common Internally Tangent Circle

knowt flashcard image
16
New cards

Common Externally Tangent Circle

knowt flashcard image
17
New cards

Central Angle

An angle made up of two radius on the circle’s circumference with its vertex at the circle’s center. The measure of the central angle is equal to the measure of its arc.

<p>An angle made up of two radius on the circle’s circumference with its vertex at the circle’s center. The measure of the central angle is equal to the measure of its arc.</p>
18
New cards

Inscribed Angle

An angle made up of two chords with its vertex on the circle’s circumference

<p>An angle made up of two chords with its vertex on the circle’s circumference</p>
19
New cards

Chord Central Angles Conjecture

If two chords in a circle are congruent, then they determine two central angles that are congruent.

<p>If two chords in a circle are congruent, then they determine two central angles that are congruent.</p>
20
New cards

Chord Arcs Conjecture

If two chords in a circle are congruent, then their intercepted angles are congruent

<p>If two chords in a circle are congruent, then their intercepted angles are congruent</p>
21
New cards

Perpendicular to a Chord Conjecture

The perpendicular from the center of a circle to a chord is the bisector of the chord

<p>The perpendicular from the center of a circle to a chord is the bisector of the chord</p>
22
New cards

Chord Distance to Center Conjecture

Two congruent chords in a circle are equidistant from the center of the circle

<p>Two congruent chords in a circle are equidistant from the center of the circle</p>
23
New cards

Perpendicular Bisector of a Chord Conjecture

The perpendicular bisector of a chord passes through the center of a circle

<p>The perpendicular bisector of a chord passes through the center of a circle</p>
24
New cards

Inscribed Angle Theorem

The measure an inscribed angle is half the measure of its intercepted arc

<p>The measure an inscribed angle is half the measure of its intercepted arc</p>
25
New cards

Angle Formed by a Chord and a Tangent Conjecture

The measure of an angle formed by a chord and a tangent is half the measure of its intercepted arc

<p>The measure of an angle formed by a chord and a tangent is half the measure of its intercepted arc</p>