Problem C

Transformational Moves

The three points \(A(1,1)\), \(B(1,4)\), and \(C(2,1)\) are the vertices of \(\triangle ABC\).

We perform transformations to the triangle, as follows. First, we shift
\(\triangle ABC\) to the right \(4\) units. Then, we reflect the image in
the \(x\)-axis. Then, we reflect the
new image in the \(y\)-axis. Finally,
we shift the newest image up \(5\)
units.

What are the coordinates of the vertices of the final triangle?

**Theme: **Geometry & Measurement