Question 1131983
The rhombus has the following properties: All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary). All sides are congruent by definition. The diagonals bisect the angles.


let’s check if all four sides are congruent 


*[invoke formula_distance -1, -3, 7, 2]

{{{AB=9.4339811320566}}}


*[invoke formula_distance 5, 8, -3, 3]

{{{CD= 9.4339811320566}}}



*[invoke formula_distance 5, 8, 7, 2]

{{{BC=6.32455532033676}}}


*[invoke formula_distance -1, -3, -3, 3]


{{{AD=6.32455532033676}}}


since only opposite sides of a parallelogram are congruent, {{{ABCD}}} is {{{not}}} a rhombus, it is a parallelogram