The triangles have different rotations and locations. What rigid motions must be performed to make them map onto each other?
See solution.
Practice makes perfect
A rigid motions is a transformation that preserves a polygon's shape and size. If two shapes are congruent, a sequence of rigid motions should make them map onto each other. Examining the diagram from Part B, we see that they have different locations and rotations. Therefore, we must both perform a translation and a rotation. Let's first translate them so that two corresponding corners map onto each other.
Finally, we have to rotate one of the triangles about the overlapping points until they map onto each other.
As we can see, a translation and a rotation made the figures map onto each other.
