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G.1.13: Incorporating Rotations

Tekijä:Sabrina Cook, Mrs.Kliewer, IM Algebra 1, Geometry, Algebra 2
  1. Rotate ABCD 90 degrees clockwise around Q.
  2. Rotate ABCD 180 degrees around R.
  1. Rotate HJKLMN120 degrees clockwise around O.
  2. Rotate HJKLMN 60 degrees counterclockwise around P.
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 v.
  • Rotate the image ____ degrees counterclockwise around point D.
  • Reflect that image over line DE.
Draw each image and determine the angle of rotation needed for these steps to take ABC  to DEF.

What angle of rotation is needed to take ABC to DEF?

IM G Unit 1 Lesson 13 from IM Geometry by Illustrative Mathematics, [lesson URL]. Licensed under the Creative Commons Attribution 4.0 license, https://creativecommons.org/licenses/by/4.0/. 

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