Exploring Transformations
Today, you will be experimenting with rigid transformations and exploring their connections to proving congruence.
Use a sequence of rigid transformations to map onto three other triangles.
(1) Create by reflecting over the line through points B and C.
(2) Create by rotating 90 degrees clockwise about point A'.
(3) Create a vector from (0, -2) to (4, -4)
(4) Translate along the vector you just made to create .
What do you notice about the and ?
What mathematical statement can you now make about these two triangles?
Can you find a different sequence of rigid transformations that will map onto ?