Question

classify the quadrilateral shown on the graph.

Explanation:

Step1: Check side - length properties

By observing the graph, we can see that the opposite sides are parallel and equal. The vertical sides have a length of 3 units (from \(y = 0\) to \(y=3\)) and the horizontal sides have a length of 4 units (from \(x = 0\) to \(x = 4\)).

Step2: Check angle properties

All the angles of the quadrilateral are right - angles (since the sides are parallel to the coordinate axes).

Step3: Recall definitions

A rectangle is a quadrilateral with opposite sides equal and parallel and all angles equal to 90 degrees.

Answer:

Rectangle