Google ClassroomGoogle Classroom
GeoGebraClasse GeoGebra

IM Geo.1.13 Lesson: Incorporating Rotations

The semaphore alphabet is a way to use flags to signal messages.

Here's how to signal the letters Z and J. For each, precisely describe a rotation that would take the left hand flag to the right hand flag.



  • Rotate  90 degrees clockwise around .
  • Rotate  180 degrees around .
  • Rotate  120 degrees clockwise around .
  • Rotate  60 degrees counterclockwise around .

Mai suspects triangle ABC is congruent to triangle DEF. She thinks these steps will work to show there is a rigid transformation from ABC to DEF.

  • Translate by directed line segment .
  • Rotate the image ____ degrees counterclockwise around point .
  • Reflect that image over line.

Draw each image and determine the angle of rotation needed for these steps to take ABC to DEF.

Mai’s first 2 steps could be combined into a single rotation.

Find the center and angle of this rotation.

Describe a general procedure for finding a center of rotation.