Question

The following set of coordinates represents which figure?

(3, -5), (5, -2), (10, -4), (8, -7)

Answer 1

plot them and look at figure, perhaps measuring lengths or checking for parallelism

Answer 2

Just find out the distances between all the sides and then find the length of the diagonals.
For example, if ABCD is a quadrilateral, find the lengths of AB, BC, CD, DA and AC and BD.
If opposite sides are equal and diagonals are unequal, it is a parallelogram.
If opposite sides are equal and diagonals are equal, it is a rectangle
If all sides are equal and diagonals are unequal, it is a rhombus
If all sides are equal and diagonals are equal, it is a square