IM Geo.6.1 Lesson: Rigid Transformations in the Plane

How far is point A from point B?[br]
What transformations will take point A to point B?
Rotate Figure H clockwise using center (2,0) by 90 degrees. Translate the image by the directed line segment from (2,0) to (3,-4). Label the result R.
Rotate Figure H across the y-axis. Rotate the image counterclockwise using center (0,0) by 90 degrees. Label the result L.
Calculate the length of each side in triangles [math]ABC[/math] and [math]DEF[/math].[br]
Calculate the measure of each angle in triangles  [math]ABC[/math] and [math]DEF[/math].
Because the triangles are congruent, there must be a sequence of rigid motions that takes one to the other. Find a sequence of rigid motions that takes triangle  [math]ABC[/math] to triangle [math]DEF[/math].
The triangles are congruent. How do you know this is true?
What single transformation would take triangle [math]ABC[/math] to triangle [math]DEF[/math]?
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Information: IM Geo.6.1 Lesson: Rigid Transformations in the Plane