MAFS.912.G-SRT.1.3

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.

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

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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.

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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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