Please help! Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, include your calculations.

Create your own set of coordinates for and graph it on a coordinate plane. Label each of the triangle's vertices.
Write a scenario involving the dilation of onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image. Graph the image on the same coordinate plane as its pre-image.
Use the distance formula or Pythagorean Theorem to prove mathematically that is similar to its image. Include all necessary calculations.