MAFS.912.G-SRT.1.3
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Congruence, Similarity, Right Triangles & Trig - 46%
MAFS.912.G-
CO.1.1 Definitions
CO.1.2 Use Transformations
CO.1.5 MapTransformations
CO.2.6 Rigid Motions
CO.3.9 Line & L Theorems
CO.3.10 Triangle Theorems
CO.3.11 Parallelograms
CO.4.12 Constructions
SRT.1.1 Dilations
SRT.1.2 Def of Similarity
SRT.1.3 AA Similarity
SRT.2.5 ~ & Criteria of
s
SRT.3.8 Trig & Pyth Theorem
Circles, Geometric Measurement & Geometric Properties with Equations - 38%
MAFS.912.G-
C.1.1 Similar Circles
C.1.2 Chord-L Relationships
C.1.3 Inscribe/Circumscribe
C.2.5 Arcs, Angles, Sectors
GMD.1.1 Argue Formulas
GMD.1.3 Use Formulas
GMD.2.4 Identify Objects
GPE.1.1 Equation of a Circle
GPE.2.4 Use Coordinates
GPE.2.5 Use || and Slope
GPE.2.6 Segment Ratios
GPE.2.7 Coordinate Per/Area
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 ???.
Example Two
Example Three
Provide the missing statements for the proof. Using complete sentences, explain why the proof would not work without the missing step.
Example Four
Additional Examples
Reference Sheet
Select sample problems taken from FLDVIPN teacher materials
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