if you apply the geometric description of reflections across parallel lines, what transformation can you predict will be part of a composition transformation? A translation, B, a rotation, C, a dilation, or D a reflection.
If you apply the geometric description of reflections across parallel lines, the transformation that can be predicted to be part of a composition transformation is D) a reflection.
If you apply the geometric description of reflections across parallel lines, the transformation that can be predicted to be part of a composition transformation is a translation (option A).
When reflecting a figure across parallel lines, the overall transformation consists of two individual reflections. The first reflection will create a new figure, and the second reflection will produce the final result by reflecting the newly created figure across the same set of parallel lines. These two reflections form a composition of transformations.
It is important to note that a composition transformation can involve multiple transformations combined in a specific order. In this case, the reflection across parallel lines is followed by another reflection across the same set of parallel lines, resulting in a translation.
To find the transformation that will be part of a composition transformation using the geometric description of reflections across parallel lines, you can follow these steps:
1. Start with the original figure.
2. Reflect the figure across the first parallel line.
3. Reflect the resulting figure across the second parallel line.
Now, let's consider the possible transformation options:
A) Translation: A translation involves shifting a figure along a line without any flipping or rotating. Thus, it does not match the process described above.
B) Rotation: A rotation is the act of turning a figure around a fixed point. Since the process described above involves reflecting across parallel lines, rotation is not the appropriate transformation.
C) Dilation: Dilation is a transformation that involves scaling a figure larger or smaller. Since the process described above does not involve scaling, dilation is not the appropriate transformation.
D) Reflection: Reflection involves flipping a figure over a line. In the steps described above, we are reflecting the figure across parallel lines. Therefore, a reflection is the appropriate transformation.
Hence, the correct answer is D) a reflection.