The upper-left coordinates on a rectangle are (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis, and the upper-right coordinates are (7,-3)(7,−3)left parenthesis, 7, comma, minus, 3, right parenthesis. The rectangle has an area of 161616 square units. Draw the rectangle on the coordinate plane below

9514 1404 393

  see attached

Step-by-step explanation:

The upper coordinate pairs are on the line y = -3. They are separated by 7 - 3 = 4 units. In order for the rectangle to have an area of 16 square units, the height of the rectangle must be 16/4 = 4 units. Points that are 4 units below those given are (3, -7) and (7, -7). The rectangle consist of line segments that will join those coordinates with the ones given.

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.