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IM Geo.6.1 Lesson: Rigid Transformations in the Plane

How far is point A from point B?

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  and .

Calculate the measure of each angle in triangles   and .

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   to triangle .

The triangles are congruent. How do you know this is true?

What single transformation would take triangle  to triangle ?