which composition of similarity transformations maps △lmn to △lmn?\n a dilation with a scale factor less…

which composition of similarity transformations maps △lmn to △lmn?\n a dilation with a scale factor less than 1 and then a reflection\n a dilation with a scale factor less than 1 and then a translation\n a dilation with a scale factor greater than 1 and then a reflection\n a dilation with a scale factor greater than 1 and then a translation

which composition of similarity transformations maps △lmn to △lmn?\n a dilation with a scale factor less than 1 and then a reflection\n a dilation with a scale factor less than 1 and then a translation\n a dilation with a scale factor greater than 1 and then a reflection\n a dilation with a scale factor greater than 1 and then a translation

Answer

Answer:

A. a dilation with a scale factor less than 1 and then a reflection

Explanation:

Step1: Observe size change

The image $\triangle L'M'N'$ is smaller than $\triangle LMN$, so a dilation with scale - factor less than 1 is involved.

Step2: Observe orientation change

The orientation of $\triangle L'M'N'$ is different from $\triangle LMN$, which indicates a reflection has occurred. There is no obvious translation as the position change can be accounted for by reflection and dilation. So the composition is a dilation with a scale factor less than 1 and then a reflection.