Melinda has several children and frequently marvels at how different each child is from one another. jacob, her oldest son, took his first steps at 17 months whereas clyde, her youngest son, took his first steps at 10.5 months old. compare the number of months it took clyde to take his first steps to the number of months it took jacob using absolute and relative change. round your answer for relative change to the nearest hundredth of a percent.

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.

nope.   happens to me as well.

-aparri

here is a big fat