Identify the relationship between the preimage and image following the given transformation.

[Title] Congruent Similar
Rotation
Congruent – Rotation
Similar – Rotation
Translation
Congruent – Translation
Similar – Translation
Dilation
Congruent – Dilation
Similar – Dilation
Reflection
Congruent – Reflection
Similar – Reflection
Translation then reflection
Congruent – Translation then reflection
Similar – Translation then reflection

1 answer

The relationship between the preimage and image following the given transformation depends on whether the transformation is congruent or similar.

For rotation, dilation, and reflection, the relationship can be either congruent or similar, depending on the specific properties of the transformation and the relationship between the preimage and image.

For translation, the relationship between the preimage and image following the transformation is congruent, as the shape is essentially moving without changing its size or orientation.

For translation followed by reflection, the relationship is similar, as the shape undergoes both a translation and a reflection, which can result in a change in size and orientation.