Question

lesson 2-6 lesson quiz for item 1, use the coordinate plane to answer the question. 1. what sequence of transformations will show that △abc is similar to △lmn?

Explanation:

Step1: Identify key - point of similarity

Similar triangles can be obtained by dilation and rigid - motions. First, we can dilate one triangle to match the size ratio of the other.

Step2: Consider translation

After dilation, we may need to translate the dilated triangle to match the position of the other triangle.

Step3: Consider rotation (if needed)

Check if the orientation of the triangles requires a rotation. In this case, we first dilate $\triangle LMN$ to match the side - length ratio of $\triangle ABC$, then translate it to the appropriate position.

Answer:

A dilation followed by a translation.