Question

1. triangle abc and pqr are shown below in the coordinate plane. describe a sequence of transformations that can map abc to pqr.

hint: think about how you can use translations and reflections.

Explanation:

Step1: Reflect over x - axis

Reflecting triangle \(ABC\) over the \(x -\)axis changes the \(y -\)coordinates. If a point \((x,y)\) is reflected over the \(x -\)axis, it becomes \((x, - y)\).

Step2: Translate

Translate the reflected triangle. Count the number of units to move horizontally and vertically. Move the reflected triangle \(5\) units to the right (add \(5\) to the \(x -\)coordinate) and \(1\) unit down (subtract \(1\) from the \(y -\)coordinate).

Answer:

First, reflect triangle \(ABC\) over the \(x -\)axis. Then, translate the reflected triangle \(5\) units to the right and \(1\) unit down.