Question

John used a compass and straightedge to copy AB so that one endpoint of the copy is at point X. Then he repeated the process three more times, making three different copies of AB that have an endpoint at point X. Complete the conjecture about the set of all possible copies of AB that have an endpoint at point X.

Answer 1

When John makes multiple copies of AB with one endpoint at point X, the conjecture is that all the copies will form a circle with point X as the center.

Step-by-step explanation:

When John makes multiple copies of AB with one endpoint at point X using a compass and straightedge, the conjecture is that all the copies will form a circle with point X as the center. Each copy will have the same distance from point X and be equal in length to AB. This is because when using a compass and straightedge, the distance from the center of the compass to the pencil point remains the same, resulting in copies of the same length as AB.