Question

determine a series of transformations that would map polygon ( abcde ) onto polygon ( abcde ).

Explanation:

Step1: Reflect over the y - axis

Reflecting a point \((x,y)\) over the \(y\) - axis gives the point \((-x,y)\). This will change the sign of the \(x\) - coordinates of the vertices of polygon \(ABCDE\) and start to align it with \(A'B'C'D'E'\) in terms of left - right orientation.

Step2: Translate 6 units down

A translation of 6 units down changes a point \((x,y)\) to \((x,y - 6)\). After the reflection over the \(y\) - axis, this vertical shift will move the reflected polygon to the position of \(A'B'C'D'E'\).

Answer:

A reflection over the \(y\) - axis followed by a translation 6 units down.