Question

A right triangle is shown on the coordinate plane below.

Triangle has U at (3, -2), V at (7, -2), and W at (3, -6).

The following transformations are performed on the right triangle, in the order shown below.

Reflect about the y-axis.
Translate 6 units in a positive y-direction.
Translate 3 units in a positive x-direction.
What are the coordinates of vertex W after all three steps?

Answer 1

Start with W = (3, -6).

1. Reflect about the y-axis: W -> (-3, -6).
2. Translate 6 units up: W -> (-3, 0).
3. Translate 3 units right: W -> (0, 0).

So the final coordinates of W are (0, 0).