Answer:
Option C
Step-by-step explanation:
Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.
Segment YZ will the midsegment of trapezoid ABCD.
By the theorem of midsegment,
m(YZ) =
By using expression for the length of a segment between two points,
Length of a segment =
Distance between two points A(-5, -6) and D(3, 2),
AD =
AD =
AD =
AD =
Distance between B(-6, -2) and C(-4, 0)
BC =
BC =
BC =
Therefore, m(YZ) =
=
=
Option C will be the answer.