Question

problem 11: from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: a - m - b and m\overline{am}=\frac{1}{2}m\overline{ab} prove: m is the midpoint of \overline{ab}. a b c d e definition of a midpoint go

Explanation:

The definition of a mid - point states that if a point $M$ lies on a line segment $\overline{AB}$ such that the length of $\overline{AM}$ is half the length of $\overline{AB}$ (i.e., $m\overline{AM}=\frac{1}{2}m\overline{AB}$) and $A - M - B$ (indicating $M$ is between $A$ and $B$), then $M$ is the mid - point of $\overline{AB}$. The given conditions match this definition.

Answer:

A. Definition of a midpoint