Question

Complete.

If $\mathit{K}$is the midpoint of $\overline{\mathit{S}\mathit{T}}$,then$\overline{\mathbf{R}\mathbf{K}}$ is called$\mathit{a}\left(n\right)\underset{\mathbf{¯}}{\mathbf{?}}$ of$\mathbf{\Delta }\mathit{R}\mathit{S}\mathit{T}$

Short answer

If $K$is the midpoint of $\overline{ST}$, then $\overline{RK}$ is called a medianof$\mathrm{\Delta }RST$

Step-by-step solution

Step 1. Definition of Median.

A median of a triangle is a segment from a vertex to the midpoint of the opposite side.

Step 2. Check RK¯ is median or not.

Since$\overline{RK}$ is the line segment starting from point$R$ and joining the midpoint$K$ of opposite side $\overline{ST}$. So,$\overline{RK}$ is a medianof$\mathrm{\Delta }RST$

Step 3. Complete the given statement.

If $K$is the midpoint of $\overline{ST}$, then$\overline{RK}$ is called a$\underset{¯}{\text{median}}$ of$\mathrm{\Delta }RST$