Question

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

Explanation:

Step1: Recall properties of quadrilaterals

A rectangle has four right angles and opposite sides equal. A rhombus has all sides equal but not necessarily right angles. A trapezoid has one pair of parallel sides. A square has all sides equal and four right angles.

Step2: Analyze the given quadrilateral

Looking at the graph, the quadrilateral has four right angles (as the sides are vertical and horizontal, which are perpendicular). The vertical sides (from \((0,0)\) to \((0,4)\) and \((8,0)\) to \((8,4)\)) have length \(4\) (using the distance formula \(d=\vert y_2 - y_1\vert\), e.g., for \((0,0)\) and \((0,4)\), \(d=\vert4 - 0\vert = 4\)). The horizontal sides (from \((0,4)\) to \((8,4)\) and \((0,0)\) to \((8,0)\)) have length \(8\) (using the distance formula \(d=\vert x_2 - x_1\vert\), e.g., for \((0,4)\) and \((8,4)\), \(d=\vert8 - 0\vert = 8\)). Opposite sides are equal.

Answer:

Rectangle