HSG-C.A.1

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- HSG-C.A.1Prove that all circles are similar.
- HSG-C.A.2Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
- HSG-C.A.3Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
- HSG-C.A.4Construct a tangent line from a point outside a given circle to the circle.

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## HSG-C.A.1

## Prove that all circles are similar.

4 Lesson(s)

### Foundational Circles Vocabulary and Chord Properties

Geometry »
Unit: Discovering and Proving Circles Properties

Geometry »
Unit: Discovering and Proving Circles Properties

### Circles Unit Assessment

Geometry »
Unit: Discovering and Proving Circles Properties

Geometry »
Unit: Discovering and Proving Circles Properties

Big Idea:

#### This lesson asks students to create real circles and then review key vocabulary connected with circles like diameter, radius, center, secant, tangent and center.

Standards:

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Resources
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Reflections
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### Define Radian Measure

Geometry »
Unit: Unit Circle Trigonmetry

Geometry »
Unit: Unit Circle Trigonmetry

Common Core Math

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

### Sixth Grade

### Seventh Grade

### HS Number & Quantity

### HS Algebra

### HS Functions

### HS Geometry

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

### Sixth Grade

### Seventh Grade

### Eighth Grade

### Ninth and Tenth Grade

### Kindergarten

### First grade

### Second grade

### Third Grade

### Fourth grade

### Fifth grade

### Middle School

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School