Question

Decide whether quadrilateral ABCD with vertices A (2,-4), B (1,-1), C (4,0), and D (5,-3) isa rectangle, rhombus, square, or parallelogram,

Answer 1

Given the following vertices:

A (2,-4)

B (1,-1)

C (4,0)

D (5,-3)

Let's plot the following points in the graph to see what type of quadrilateral will ABCD formed from the vertices.

We get,

The figure formed by the vertices appeared to be a square.

Therefore, the quadrilateral ABCD is a square.