Question

explain your reasoning.
because the gap is equal from part a and part b
b. using only a compass, can you find points in the plane that are the same distance from points a and b?
a yes
b no
explain your reasoning.
type here

Explanation:

To find points equidistant from \( A \) and \( B \), we use the perpendicular bisector concept. With a compass, set the radius greater than \( \frac{1}{2}AB \). Draw arcs centered at \( A \) and \( B \) (above and below \( AB \)). The intersection of these arcs lies on the perpendicular bisector of \( AB \), and all points on this bisector are equidistant from \( A \) and \( B \). So, we can find such points with a compass.

Answer:

A. Yes