Plans for a new shopping center call for buildings directly across the sidewalk from each other to be congruent. This computer printout shows a clothing store. If the vertices of a home improvement store are located at (-x1, y1) , (-x2, y2) , (-x3, y3) and (-x4, y4) , will the home improvement store be congruent to the clothing store?

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.