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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 \((\triangle A’B’C’ \longrightarrow \triangle A’’B’’C’’)\)