Question

answer the following questions. make sure to explain all your work and show all your steps.

1. analyze the following quadrilateral.

1a: identify the vertices of this quadrilateral.

Explanation:

Step1: Recall the coordinate system rules

In a coordinate system, a point is represented as \((x,y)\), where \(x\) is the horizontal coordinate (abscissa) and \(y\) is the vertical coordinate (ordinate).

Step2: Identify the coordinates of each vertex

• For vertex \(A\): The \(x\) - value is \(2\) and the \(y\) - value is \(1\), so \(A=(2,1)\).
• For vertex \(B\): The \(x\) - value is \(2\) and the \(y\) - value is \(4\), so \(B=(2,4)\).
• For vertex \(C\): The \(x\) - value is \(4\) and the \(y\) - value is \(4\), so \(C=(4,4)\).
• For vertex \(D\): The \(x\) - value is \(6\) and the \(y\) - value is \(1\), so \(D=(6,1)\).

Answer:

The vertices of the quadrilateral are \(A=(2,1)\), \(B=(2,4)\), \(C=(4,4)\), and \(D=(6,1)\)