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MAFS.912.G-C.1.1

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Congruence, Similarity, Right Triangles & Trig - 46%

MAFS.912.G-


Circles, Geometric Measurement & Geometric Properties with Equations - 38%

MAFS.912.G-


Modeling with Geometry - 16%

MAFS.912.G-


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What You Need To Know...

MAFS.912.G-C.1.1 - Prove that all circles are similar.

1. The benchmark will be assessed using Equation Response, Graphic Response, Multiple Choice Response, Multi-select Response, Open Response, or Simulation Response.

2. Items may require students to use measures of different parts of a circle or to use a sequence of transformations to determine similarity.

3. Items may require students to generate tables, create circles, or write an algebraic description of a transformation.

4. Items will not require students to use the matrices, distance or midpoint formula or write an equation of a circle.

5. Items may require students to use an algebraic description of a transformation as shown below.

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Example One

Example Two

Show that circle C with center (-1, 2) and radius 3 is similar to circle D with center (3, 4) radius 5.

 

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Example Three

Show that circle C with center (0, 2) and radius 6 is similar to circle D with center (0, -6) radius 2.

 

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Example Four

Show the two given circles are similar by stating the necessary transformations from C to D.

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Are All Circles Similar?
Using Translations & Dilations
Using Translations & Dilations II
Using Triangles
Using Triangles II
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Reference Sheet



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Select sample problems taken from FLDVIPN teacher materials

Violet Esopakis - Palm Beach Co.
Stephanie Fitzwater - Seminole Co.
Angela Kerins - Orange Co.
Lisa Lasseter - St. Johns Co.
Jeremy Lowery - Escambia Co.
Jodi Van Wagoner - Brevard Co.

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