An enlargement transformation will create a similar figure,
Enlargement.
Translation, rotation, reflection
Enlargements (or dilations) will create similar shapes.
Similar figures are produced through transformations such as dilation, where a shape is enlarged or reduced by a scale factor while maintaining its proportions. This transformation alters the size of the figure but keeps the angles and the relative dimensions between corresponding sides the same, ensuring that the figures remain similar. Additionally, similar figures can also be obtained through rotations, reflections, and translations, as these transformations preserve the shape and angle relationships.
There is just the one and it is an enlargement or a reduction in size.
Transformations. :-)
Rigid transformations, such as translations, reflections, and rotations, preserve the length, angle measures, and parallelism of geometric figures. By applying a combination of these transformations to two given figures, if the transformed figures coincide, then the original figures are congruent. This is because if two figures can be superimposed perfectly using rigid transformations, then their corresponding sides and angles have the same measures, establishing congruency.
The result of any of the following transformations, or their combinations, is similar to the original image:translation,rotation,enlargement,reflection.
They can alter the location or orientation of the figures but do not affect their shape or size.
A transformation that does not always result in congruent figures in the coordinate plane is dilation. While dilations can resize figures, they change the dimensions of the original shape, leading to figures that are similar but not congruent. In contrast, transformations like translations, rotations, and reflections preserve the size and shape of the figures, resulting in congruence.
Both are transformations.
Congruent figures are always similar. However, similar figures are only sometimes congruent.