Question

Jaymile wants to construct congruent angles with a compass and straightedge, while Annie wants to construct congruent segments with a compass and straightedge. Describe the
similarities and differences between their construction steps.

Please explain in detail the difference in between the steps!

Answer 1

Answer: See below

Step-by-step explanation:

• 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.