Answer:
The answer is given below
Step-by-step explanation:
Statement Reasons
ABCD is a parallelogram; M is a midpoint Given
of AB and N is a midpoint of Segment
AB//DC, therefore AM//NC For a parallelogram, opposite . sides are parallel to each other
AB≅DC For a parallelogram, opposite . sides are equal to each other
1/2AB≅1/2DC Since both sides are equal to . each other
1/2AB = AM and 1/2DC = NC M is the midpoint of AB and N . is the midpoint of DC Midpoint
. theorem
AM≅NC Substitution, since AB is also
. equal to BC
Quadrilateral AMCN is a parallelogram If opposite sides of a
. quadrilateral is equal and .
opposite, it is a parallelogram
