Question

complete the sentence.
if three distinct points p, q, and r all lie on a line and if ( d(p, q)=d(q, r) ), then q is called the _ of the line segment from p to r.
if three distinct points p, q, and r all lie on a line and if ( d(p, q)=d(q, r) ), then q is called the of the line segment from p to r.

Explanation:

The definition of the midpoint of a line segment states that if a point divides a line segment into two equal - length sub - segments (i.e., the distance from one endpoint to the point is equal to the distance from the point to the other endpoint), then that point is the midpoint. Here, since \(d(P,Q)=d(Q,R)\) for collinear points \(P\), \(Q\), and \(R\), \(Q\) satisfies the condition of being the mid - point of the line segment \(PR\).

Answer:

midpoint