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, the \(x\)-coordinate (abscissa) is the horizontal value and the \(y\)-coordinate (ordinate) is the vertical value. For a point \(P(x,y)\), \(x\) tells us how far left(-) or right(+) from the origin, and \(y\) tells us how far down(-) or up(+) from the origin.

Step2: Identify the coordinates of point \(A\)

Looking at point \(A\), it is 2 units to the right of the origin (\(x = 2\)) and 1 unit up (\(y=1\)). So, \(A=(2,1)\)

Step3: Identify the coordinates of point \(B\)

For point \(B\), it is 2 units to the right of the origin (\(x = 2\)) and 4 units up (\(y = 4\)). So, \(B=(2,4)\)

Step4: Identify the coordinates of point \(C\)

Point \(C\) is 3 units to the right of the origin (\(x=3\)) and 4 units up (\(y = 4\)). So, \(C=(3,4)\)

Step5: Identify the coordinates of point \(D\)

Point \(D\) is 6 units to the right of the origin (\(x = 6\)) and 1 unit up (\(y=1\)). So, \(D=(6,1)\)

Answer:

The vertices of the quadrilateral are \(A(2,1)\), \(B(2,4)\), \(C(3,4)\), and \(D(6,1)\)