Question

1. describe a sequence of transformations that would map triangle a to triangle b.

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 Triangle \(A\).

Step2: Translate 6 units to the right

A translation of \(6\) units to the right for a point \((x,y)\) gives the point \((x + 6,y)\). After reflection over the \(y\) - axis, adding \(6\) to the \(x\) - coordinate will map the reflected triangle to the position of Triangle \(B\).

Answer:

Reflect Triangle \(A\) over the \(y\) - axis and then translate the resulting triangle \(6\) units to the right.