Question

1. given: d is the mid - point of segment ba and e is the mid - point of segment bc. what is the name of segment de?

Explanation:

Step1: Recall triangle - mid - segment theorem

In a triangle, if a line segment joins the mid - points of two sides of the triangle, it is called a mid - segment.
In $\triangle ABC$, $D$ is the mid - point of $BA$ and $E$ is the mid - point of $BC$.

Step2: Identify the segment

The segment $DE$ which joins the mid - points of two sides ($BA$ and $BC$) of $\triangle ABC$ is a mid - segment of $\triangle ABC$.

Answer:

Mid - segment of $\triangle ABC$