Chord
![Picture](/uploads/3/8/6/0/38601155/8761519.png?387)
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Notation: AB
Chord: A segment whose endpoints are on a circle.
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Statement: AB is a chord because its endpoints fall on circle P.
I chose this term because many theorems and postulates later on in the unit involve chords and chord relationships.
Notation: AB
Chord: A segment whose endpoints are on a circle.
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Statement: AB is a chord because its endpoints fall on circle P.
I chose this term because many theorems and postulates later on in the unit involve chords and chord relationships.
Tangent
![Picture](/uploads/3/8/6/0/38601155/1217879.png?385)
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Notation: EF
Tangent: A line which intersects the circle at exactly one point.
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Statement: EF is a tangent because point point F touches circle P.
I included tangents because they have a special relationship with the radius of a circle.
Notation: EF
Tangent: A line which intersects the circle at exactly one point.
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Statement: EF is a tangent because point point F touches circle P.
I included tangents because they have a special relationship with the radius of a circle.
Inscribed Angle
![Picture](/uploads/3/8/6/0/38601155/8577680.png?377)
Notation: ∠CID
Inscribed Angle: An angle created by two chords that meet at one point on the circle.
Statement: ∠CID is the inscribed angle of circle P because it is created by two chords that meet at point I on the circle.
I added inscribed angles because they are created by chords and have many properties.
Inscribed Angle: An angle created by two chords that meet at one point on the circle.
Statement: ∠CID is the inscribed angle of circle P because it is created by two chords that meet at point I on the circle.
I added inscribed angles because they are created by chords and have many properties.
Intercepted Arc
![Picture](/uploads/3/8/6/0/38601155/9852236.png?375)
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Notation: CD
Intercepted Arc: The arc inside of the inscribed angle.
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Statement: CD is the arc of inscribed angle ∠CID.
I chose intercepted arcs because they have a close relationships with inscribed angles. (Intercepted arcs are two times greater than their inscribed angles).
Notation: CD
Intercepted Arc: The arc inside of the inscribed angle.
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Statement: CD is the arc of inscribed angle ∠CID.
I chose intercepted arcs because they have a close relationships with inscribed angles. (Intercepted arcs are two times greater than their inscribed angles).
Secant
![Picture](/uploads/3/8/6/0/38601155/3857389.png?375)
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Notation: XY
Secant: A line which intersects the circle at 2 points
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Statement: XY is a secant because points X and Y fall on circle P.
Secants are important because they are used in many postulates and theorems in this unit.
Notation: XY
Secant: A line which intersects the circle at 2 points
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Statement: XY is a secant because points X and Y fall on circle P.
Secants are important because they are used in many postulates and theorems in this unit.
Central Angle
![Picture](/uploads/3/8/6/0/38601155/6998040.png?408)
Notation: ∠SPQ
Central Angle: An angle whose vertex is the center of a circle
Statement: Angle ∠SPQ is a central angle of circle P because its vertex is the center of the circle (point P).
I chose central angles because they can be used to find other angles such as inscribed angles.
Central Angle: An angle whose vertex is the center of a circle
Statement: Angle ∠SPQ is a central angle of circle P because its vertex is the center of the circle (point P).
I chose central angles because they can be used to find other angles such as inscribed angles.
Minor Arc
![Picture](/uploads/3/8/6/0/38601155/9237487.png?403)
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Notation: AB
Minor Arc: An arc less than 180 degrees
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Statement: AB is a minor arc because it is less than 180 degrees.
I chose minor arcs because they are a crucial part of lesson 8, and this is one way to classify them.
Notation: AB
Minor Arc: An arc less than 180 degrees
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Statement: AB is a minor arc because it is less than 180 degrees.
I chose minor arcs because they are a crucial part of lesson 8, and this is one way to classify them.
Major Arc
![Picture](/uploads/3/8/6/0/38601155/1732798.png?394)
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Notation: ABC
Major Arc: An arc greater than 180 degrees.
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Statement: ABC is a major arc because it is greater than 180 degrees.
Major arcs are just as important as minor arcs and are also a way to classify arcs.
Notation: ABC
Major Arc: An arc greater than 180 degrees.
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Statement: ABC is a major arc because it is greater than 180 degrees.
Major arcs are just as important as minor arcs and are also a way to classify arcs.
Radians
![Picture](/uploads/3/8/6/0/38601155/5530349.png?404)
Notation: 3π/2 radians
Radians: A unit of measure of an angle or arc.
Statement: The measure of arc ABC is 3π/2 radians
In this unit, we learned another way to measure an angle. Radians are commonly used when dealing with circles and will be used often in Algebra 2.
Radians: A unit of measure of an angle or arc.
Statement: The measure of arc ABC is 3π/2 radians
In this unit, we learned another way to measure an angle. Radians are commonly used when dealing with circles and will be used often in Algebra 2.
Practice Problems: https://docs.google.com/presentation/d/1S5OA9GBViWXjCnSv3UHNobDlr-TXd4BjnZml2otlU6U/edit#slide=id.p