HSG-C.A.2

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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.2

## Identify 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.

19 Lesson(s)

### NPR Car Talk Problem - Day 1 of 2

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### This problem from NPR's Car Talk is engaging, challenging, and mathematically rich!

Standards:

Favorites
(11)

Resources
(19)

Reflections
(2)

### Arcs and Angles: Central and Inscribed Angles

Geometry »
Unit: Discovering and Proving Circles Properties

Geometry »
Unit: Discovering and Proving Circles Properties

### NPR Car Talk Problem - Day 2 of 2

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### This problem from NPR's Car Talk is engaging, challenging, and mathematically rich!

Standards:

Favorites
(4)

Resources
(9)

### Foundational Circles Vocabulary and Chord Properties

Geometry »
Unit: Discovering and Proving Circles Properties

Geometry »
Unit: Discovering and Proving Circles Properties

### Tangent 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

### Chord and Tangent Group Challenge

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:

Favorites
(31)

Resources
(24)

Reflections
(4)

Big Idea:

#### Prove ideas about secants and tangents using similar triangles.

Standards:

Favorites
(2)

Resources
(21)

Reflections
(2)

### Review: Arcs, Angles, Chords, Tangents, and Proof

Geometry »
Unit: Discovering and Proving Circles Properties

Geometry »
Unit: Discovering and Proving Circles Properties

Big Idea:

#### Students will actively apply theorems about tangent and secant lines to circle questions with scaffolded computer questions to review entire circles unit.

Standards:

Resources
(19)

Reflections
(1)

Big Idea:

#### This is a comprehensive assessment of all content learned to date.

Standards:

Favorites
(1)

Resources
(12)

Reflections
(1)

### Special Quadrilateral Clean Up

Geometry »
Unit: Introducing Geometry

Geometry »
Unit: Introducing Geometry

Big Idea:

#### By looking at examples and non-examples of parts of circles, students will write their own definitions.

Standards:

Favorites
(3)

Resources
(11)

Reflections
(1)

Common Core Math

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

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### Seventh Grade

### HS Number & Quantity

### HS Algebra

### HS Functions

### HS Geometry

### Kindergarten

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### Ninth and Tenth Grade

### Kindergarten

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### 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