To solve these problems, students need to identify the coordinates of the vertices of the given triangle. The center of dilation is the origin, which means to find the new coordinates of the triangle students have to multiply the coordinate of the original triangle by the scale factor. For example, if the three vertices of a triangle are (2,1),(2,5) and (3,4) and the scale factor is 2 with the origin as the center of dilation then the vertices of the triangle after dilation are (4,2), (4,10) and (6,8).