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.

Explanation:

Step1: Identify original vertices

The original triangle vertices are approximately $(6,1)$, $(6,6)$, $(9,1)$.

Step2: Apply transformation rule

For point $(6,1)$, after transformation $(x,y)\to(y,x)$, it becomes $(1,6)$.
For point $(6,6)$, after transformation, it becomes $(6,6)$.
For point $(9,1)$, after transformation, it becomes $(1,9)$.

Step3: Plot new - vertices

Plot the points $(1,6)$, $(6,6)$, $(1,9)$ and connect them to form the new triangle.

Answer:

Plot the points $(1,6)$, $(6,6)$, $(1,9)$ and use the "Polygon" tool to draw the triangle.