# Transformations: Possible PreImages?

- Author:
- Tim Brzezinski

This problem is a digital analogue of this Open Middle problem submitted by Jon Henderson.

Given triangle

*ABC*with vertices*A =*(-8,2),*B*= (-2,2), and*C*= (-2,8), create a triangle (**shown on right**) whose vertices lie in quadrant 1 so that you use a translation by vector, rotation about point, and reflection about line**in any order**, to map that triangle onto triangle ABC, thus showing congruence.## When rotating around a point, use point O as the center of rotation. Note: O is moveable.

## Note to teachers:

You can move

*A*,*B*, and*C*around to create different image triangles for students.