Question

Given the center point C, construct the dilated image of segment EF after a dilation by a scale factor of 3. Use only a compass and straight edge. Label segment E'F'. Leave all marks.

Answer 1

In order to dilate the segment EF in relation to the center point C, we need to calculate the distance of the center point to each point of the segment, then we extend this distance until it reaches 3 times the original distance.

For example, if the segment CE is 'x' and the segment CF is 'y', we have that the segment CE' is 3x and the segment CF' is 3y: