Which statement best describes a parallelogram with coordinates a (-1, 0), b (-4, 5), c (1, 8) and d (4, 3)? a. the diagonals are congruent which means the quadrilateral is a rectangle. b. the diagonals are perpendicular which means the quadrilateral is a rhombus. c. the diagonals are both congruent and perpendicular which means the quadrilateral is a square. d. the diagonals are neither congruent nor perpendicular, which means the quadrilateral is a parallelogram only.

D.

The representation of this problem is shown below. To find the answer, we need to use the distance formula:

So, for the first diagonal:

For the second diagonal:

So the diagonals aren't congruent. Are they perpendicular?

These two vectors will be perpendicular (hence the diagonals will be perpendicular) if and only if the dot product equals zero, so:

Thus, the diagonals aren't perpendicular. In conclusion:

hi,

you half the rectangle that you ae asking about so then you would see the scale factor of 1/2 the one u have selected, the one on top is half.

hope this !