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MAFS.912.G-SRT.1.3

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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-SRT.1.3 - Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. 

Also assesses MAFS.912.G-SRT.2.4 - Prove theorems about triangles, including a line parallel to one side of a triangle divides the other two sides proportionally, and conversely, the Pythagorean Theorem proved using triangle similarity.

1. The benchmark will be assessed using Drag and Drop Response, Hot Text Response, Graphic Response, Multiple Choice Response, or Open Response.

2. Items may require students to prove theorems about triangles.  These may include the following:

  • Prove that a line that divides two sides of a triangle proportionally is parallel to the third side.
  • Prove that if three sides of one triangle are proportional to the corresponding sides of another triangle, the triangles are similar.
  • Prove that if two pairs of corresponding angles are congruent, then the triangles are similar.

Example One

Complete the proof by selecting the statement that best replaces the ???.

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                       CLICK HERE FOR SOLUTION

Example Two

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                      CLICK TO VIEW SOLUTION

Example Three

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Provide the missing statements for the proof.  Using complete sentences, explain why the proof would not work without the missing step.

CLICK HERE FOR SOLUTION

Example Four

Additional Examples

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Using Translations
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Using Translations & Dilations
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Corresponding Congruent Angles
Overlapping Angles
3rd Angle Congruency

Reference Sheet



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Select sample problems taken from FLDVIPN teacher materials

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Lisa Lasseter - St. Johns Co.
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Jodi Van Wagoner - Brevard Co.

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