Question

Determine the MOST precise bane for quadrilateral PQRS

Answer 1

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;

`\begin{gathered} PQ\cong QR \\ PS\cong RS \end{gathered}`

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.