Question

1. analyze the following triangle.

2a: identify the vertices of this triangle.

Explanation:

Step1: Recall the coordinate system

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

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

For point \(A\), moving along the \(x\) - axis (horizontal), it is at \(x = 3\), and along the \(y\) - axis (vertical), it is at \(y=2\). So, \(A=(3,2)\).

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

For point \(B\), moving along the \(x\) - axis, it is at \(x = 6\), and along the \(y\) - axis, it is at \(y = 4\). So, \(B=(6,4)\).

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

For point \(C\), moving along the \(x\) - axis, it is at \(x = 8\), and along the \(y\) - axis, it is at \(y=0\). So, \(C=(8,0)\).

Answer:

The vertices of the triangle are \(A=(3,2)\), \(B=(6,4)\), and \(C=(8,0)\).