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

1.) create your own set of coordinates for △blu and graph it on a coordinate plane. label each of the triangle's vertices.

2.) write a scenario involving the dilation of △blu 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.

3.) use the distance formula or pythagorean theorem to prove mathematically that △blu is similar to its image. include all necessary calculations.

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )