Answer:
The correct option is C.
Step-by-step explanation:
The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).
Distance formula:

The length of sides are




Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.
Slope formula:

Slope of AB is

Slope of BC is

Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.
The little red dashes on the segments means they are congruent. EM = MG
Let's plug the expressions from the picture into our equation above.
7x = 8x - 6
Subtract 8x from both sides.
-x = -6
Divide both sides by -1
x = 6
EM = 7x = 7(6) = 42
Answer: 8 93
100
Step-by-step explanation: hope that helps
WOOOAH