Question 855809
Points A and B have {{{y=6}}} , so segment AB is part of the horizontal line {{{y=6}}} .
According to their x-coordinates, B is to the right of A (because {{{6>-5}}} ).
The length of AB is {{{6-(-5)=6+5=11}}} .
Points C and D have {{{y=-3}}} , so segment CD is part of the horizontal line {{{y=-3}}} ,
with C to the right of D (because {{{8>-3}}} ).
The length of CD is {{{8-(-3)=8+3=11}}} .
Since opposite sides are congruent and parallel, ABCD is a parallelogram.
Since the x-coordinates of B and C are not the same,
BC is not part of a vertical line, and therefore is not perpendicular to AB or CD.
Since not all the angles are right angles, ABCD is not a rectangle.
The length of BC is calculated from the coordinates of B and C as
{{{sqrt((8-6)^2+(-3-6)^2)=sqrt(2^2+(-9)^2)=sqrt(4+81)=sqrt(85)}}} .
Since the length of BC is not the same as the lengths of AB and CD, it is not a rhombus.