Question

triangle abc was transformed to create triangle def. write the algebraic description (rule) using coordinates to describe the transformation of triangle abc used to create triangle def. type of transformation: (choose your answer... ) rule: (x,y)→( (type your answer... , type your answer... ))

Explanation:

Step1: Identify the transformation type

By observing the graph, we can see that triangle \(ABC\) and triangle \(DEF\) are mirror - images of each other with respect to the \(y\) - axis. So the type of transformation is reflection.

Step2: Determine the reflection rule

For a reflection over the \(y\) - axis, the rule for a point \((x,y)\) is \((x,y)\to(-x,y)\).

Answer:

Type of Transformation: reflection; Rule \((x,y)\to(-x,y)\)