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IM Geo.6.2 Lesson: Transformations as Functions

Mentally find the coordinates of the image of A under each transformation.

Translate  by the directed line segment from  to .

Translate  by the directed line segment from  to .

Reflect  across the -axis.

Rotate  180 degrees clockwise using the origin as a center.

For each point , find its image under the transformation .

Next, sketch triangle  and its image on the grid above. What transformation is ?

For each point (x,y) in the table, find (2x,2y).

Next, sketch the original figure (the  column) and image (the  column). What transformation is ?

Here are some transformation rules.

Apply each rule to quadrilateral  and graph the resulting image. Then describe the transformation.

  • Label this transformation 
  • Label this transformation 
  • Label this transformation 

  • Plot the quadrilateral with vertices , , , and . Label this quadrilateral .
  • Plot the quadrilateral with vertices , , , and . Label this quadrilateral .
How are the coordinates of quadrilateral  related to the coordinates of quadrilateral ?

What single transformation takes quadrilateral  to quadrilateral ?