Wheels for Inline Skates
Adam owns an inline skate shop. Adam wants to buy eight
thousand four hundred fifty-eight inline skate wheels.
Inline skate wheels sell in sets of four. A set of four skate
wheels cost six dollars and forty-seven cents. How much
money does Adam spend to buy eight thousand four
hundred fifty-eight wheels? Adam puts eight wheels on
every pair of inline skates. On how many pairs of inline
skates can Adam put eight wheels? Between what two
whole numbers is the number of pairs of inline skates
Adam can put wheels on? Show all your mathematical
thinking.

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.

2

step-by-step explanation: