Properties of Similarity Transformations
Similarity transformation 𝐺 consists of a rotation about the point 𝑃 by 90°, followed by a dilation centered at 𝑃 with a scale factor of 𝑟 = 2, and then followed by a reflection across line ℓ. Find the image of the triangle.
A similarity transformation 𝐺 applied to trapezoid 𝐴𝐵𝐶𝐷 consists of a translation by vector 𝑋𝑌, followed by a reflection across line 𝓂, and then followed by a dilation centered at 𝑃 with a scale factor of 𝑟 = 2. Recall that we can describe the same sequence using the following notation: 𝐷𝑃,2 (𝑟𝓂(𝑇𝑋𝑌(𝐴𝐵𝐶𝐷))). Find the image of 𝐴𝐵𝐶𝐷
A similarity transformation for triangle 𝐷𝐸𝐹 is described by 𝑟𝓃 (𝐷𝐴,1/2(𝑅𝐴,90°(𝐷𝐸𝐹))). Locate and label the image of triangle 𝐷𝐸𝐹 under the similarity.
Properties of similarity transformations:
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