We should dilate the quadrilateral RSTU with a scale factor of k=75 %. Our first step is to draw lines between the center C and the vertices of the quadrilateral. Since the scale factor is less than 1, the dilation will be a reduction.
Starting from C, we need to find the point where we are 75 % or 34 of each segment's length from C. We can accomplish this by dividing the segments in half twice. For this purpose, we should locate the perpendicular bisector. Open the compass so it is wider than half of RC and, from the endpoints of RC, we draw a pair of intersecting arcs with the same radius.
The line that contains both intersections of the arcs is the perpendicular bisector to RC.
By finding the perpendicular bisector of RA, we will know the location of R'.
Let's repeat the process for UC and TC.
Finally, we will connect the image points. The resulting image is a dilation of RSTU with a factor of dilation of 14.
