Unit 4:
Investigating Similarity
G.GSR.5: Describe dilations in terms of center and scale factor and use these terms to describe properties of dilations; use the precise definition of a dilation to describe similarity and establish the criterion for triangles to be similar; use these terms, definitions, and criterion to prove similarity, model, and explain real-life phenomena.
Learning Goals:
- I can define and verify the dilation properties of the corresponding sides' ratio lengths as the scale factor.
- I can draw and describe the effects of dilation through the intersection of lines that pass through corresponding points. [off the coordinate grid]
- I can write a similarity statement with congruent pairs of angles and corresponding proportional pairs of sides.
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Learning Goals:
- I can prove two similar figures using dilation.
- I can draw and describe the effect of a single transformation.
- I can write the function notation of a single dilation transformation from an image mapping onto a preimage.
- I can write congruent angle statements and proportional line segment statements.
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Learning Goals:
- I can prove two triangles are similar and use the similarity criteria to solve applied or geometric problems. (SSS, SAS, AA)
- I can apply properties of similarity to solve problems involving similar parts.
- I can use triangle proportionality to solve problems and prove theorems.
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