Question

classify the quadrilateral shown on the graph. rectangle square rhombus trapezoid

Explanation:

Step1: Check side - length and angle properties

In a rectangle, opposite sides are equal and all angles are right - angles. In the given quadrilateral on the graph, the vertical sides are parallel to the y - axis and the horizontal sides are parallel to the x - axis. The vertical sides have the same length and the horizontal sides have the same length. Also, the angles between the sides are 90 degrees.

Step2: Analyze other quadrilateral properties

A square has all sides equal. Here, vertical and horizontal side lengths are different. A rhombus has all sides equal and its angles are not necessarily right - angles. A trapezoid has one pair of parallel sides, while this quadrilateral has two pairs of parallel sides.

Answer:

Rectangle