Option A: TRUE
By mid-point theorem- If the line segment adjoins midpoints of any of the sides of a triangle, then the line segment is said to be parallel to the remaining side, and it measures to half of the third side.
Here, [tex]DE[/tex] is the line segment joining the mid-points of the two sides of the triangle [tex]ABC[/tex].
[tex]BD=DA[/tex] i.e., [tex]D[/tex] is the midpoint of [tex]AB[/tex]
[tex]BE=EC[/tex] i.e., [tex]E[/tex] is the midpoint of [tex]BC[/tex]
So, [tex]DE||AC[/tex] and [tex]DE=\dfrac{AC}{2}[/tex]
Learn more about triangles here:
https://brainly.com/question/2773823?referrer=searchResults
