According to the midsegment theorem, the midsegments are parallel to
and half the length of the opposite side.
The completed statement are as follows;
- Because the slopes of
and
are both<u> -4</u>,
║ 
- EF =
and AC = 
<u />
Reasons:
From the given graph of ΔABC, we have;
Coordinates of the points <em>A</em>, <em>B</em>, and <em>C </em>are; A(-5, 2), B(1, -2), and C(-3, -6)
The coordinates of the point D and E on
are; D(-4, -2), and E(-2, 0)
The coordinates of the point F is; F(-1, -4)


Length of EF = √((-1 - (-2))² + (-4 - 0)²) = √(17)
Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)
Therefore, we have;
Because the slope of
and
are both , <u>-4</u>,
║
. EF =
, and AC
=
,. Because
=
, 
Learn more about midsegment theorem of a triangle here:
brainly.com/question/7423948