Both will use the straight edge to make segments and use the compass to take measurements.
They will draw a line with a straight edge and will find a starting point, then with a compass:
Annie will take the measurement of the segment and, from the starting point of the line, will put in the other point to obtain the congruent segment.
But in Jaymie's case, she will need to do a little more work with a compass because to build congruent angles, she will need to make a semi-circle in the original angle and transfer this measurement to the new line to construct the angle.
