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:

By the definition of a midpoint in geometry, a midpoint of a line segment is a point that divides the segment into two equal - length parts. Here, since \(d(P,Q)=d(Q,R)\) (the distance from \(P\) to \(Q\) is equal to the distance from \(Q\) to \(R\)) and \(P\), \(Q\), \(R\) are collinear (lie on the same line), \(Q\) satisfies the condition of a midpoint.

Answer:

midpoint