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UNIT
14
14.5: Perform Composite Transformations
Graph the images given two transformations (translations, reflections).

$$\triangle ABC$$ is mapped to $$\triangle A’B’C’$$ by Transformation 1. The image $$\triangle A’B’C’$$ is mapped to $$\triangle A’’B’’C’’$$ by Transformation 2. Graph $$\triangle A’B’C’$$ and $$\triangle A’’B’’C’’$$.

Transformation 1: Translation, 3 units right

Transformation 2: Reflection in the line $$y = 0$$
Graph the images given two transformations (translations, reflections, rotations).

$$\triangle ABC$$ is mapped to $$\triangle A’B’C’$$ by Transformation 1. The image $$\triangle A’B’C’$$ is mapped to $$\triangle A’’B’’C’’$$ by Transformation 2. Graph $$\triangle A’B’C’$$ and $$\triangle A’’B’’C’’$$.

Transformation 1: Translation, $$(x,\;y) \longrightarrow (x\;-\;3,\;y\;+\;2)$$

Transformation 2: Rotation, $$90^\circ$$ counterclockwise about origin
Given the preimage and two images, describe the two transformations.

$$\triangle ABC$$ is mapped to $$\triangle A’B’C’$$ by Transformation 1. The image $$\triangle A’B’C’$$ is mapped to $$\triangle A’’B’’C’’$$ by Transformation 2. Graph $$\triangle A’B’C’$$ and $$\triangle A’’B’’C’’$$.

Describe the 2 transformations completely by completing the table below.
 Transformation 1 $$(\triangle ABC \longrightarrow \triangle A’B’C’)$$ Transformation 2 $$(\triangle A’B’C’ \longrightarrow \triangle A’’B’’C’’)$$