Question

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

Explanation:

Step1: Analyze the size change

The image $\triangle L'M'N'$ is larger than $\triangle LMN$. A dilation with a scale factor greater than 1 increases the size of a figure.

Step2: Analyze the orientation change

The orientation of the two triangles (the way they are placed with respect to the axes) is different. A reflection changes the orientation of a figure. A translation would just move the figure without changing its orientation, and a scale - factor less than 1 would make the figure smaller. So the composition is a dilation with a scale factor greater than 1 and then a reflection.

Answer:

a dilation with a scale factor greater than 1 and then a reflection