Solution:
Given:
To get the precise name of the quadrilateral PQRS, using the coordinates of the points given;
The distance between points P and Q, and points Q and R are the same.
Also the distance between points P and S, and points R and S are also the same.
This means;
[tex]\begin{gathered} PQ\cong QR \\ PS\cong RS \end{gathered}[/tex]
Hence, the image is as shown;
By the property of a kite, which says that two pairs of consecutive sides are congruent sides.
Hence, the most precise name for the quadrilateral PQRS is a KITE.
