Respuesta :
The transformations which is NOT preserve the size and the shape of the figure is dilate by a scale factor of 4 (B) and dilate by a scale factor of 1 (C).
What is the dilation of the figure?
Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
When a figure is dilated, the size of the original figure is changed.
A figure is graphed in the coordinate plane. Let's check all the option for the transformation of original figure.
- A. Reflect the figure over the line y = x and then translate it 2 units up- Reflection and translation of a figure does not changes its shape and size.
- B. Translate the figure 3 units to the left and then dilate by a scale factor of 4- With the scale factor of dilation, the size of the figure will be changed for this case.
- C. Rotate 90 degrees counterclockwise and then dilate by a scale factor of 1- In this case, there the figure is dilated with a scale factor of 1. This will change the size of the original figure.
- D. To state the figure 180 degrees counterclockwise about the origin and then reflect it over the y-axis- In this case the shape and size does not change.
Hence, the transformations which is NOT preserve the size and the shape of the figure is dilate by a scale factor of 4 (B) and dilate by a scale factor of 1 (C).
Learn more about the dilation of the figure here;
https://brainly.com/question/3457976
