During a school assembly, the gymnasium is used to seat 6 different classes. Maya and Jake each drew a model to represent the situation and figured out what fraction of the gymnasium one class fills. Maya’s Model: Jake’s Model: Which model and answer is correct? A. Maya’s model is correct. Each class needed of the gymnasium. B. Jake’s model is correct. Each class needed of the gymnasium. C. Both models are correct. Each class needed of the gymnasium. D. Neither model is correct. This problem cannot be represented with a model.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.