Question

graph the image of the given triangle after the transformation with the rule (x, y) → (y, x). select the \polygon\ tool to draw the image by plotting each vertex to create a triangle. you may use the \move\ tool to move your vertices or completed triangle as needed. polygon move undo redo × reset

Explanation:

Step1: Identify the vertices of the original triangle

The vertices of the original triangle are $(3,1)$, $(3,6)$, $(6,1)$.

Step2: Apply the transformation rule $(x,y)\to(y,x)$

For the point $(3,1)$, after transformation, it becomes $(1,3)$.
For the point $(3,6)$, after transformation, it becomes $(6,3)$.
For the point $(6,1)$, after transformation, it becomes $(1,6)$.

Step3: Plot the new - vertices to graph the image triangle

Plot the points $(1,3)$, $(6,3)$, $(1,6)$ and connect them to form the new triangle.

Answer:

The new triangle has vertices $(1,3)$, $(6,3)$, $(1,6)$ which should be plotted on the graph.