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G.1.14: Defining Rotations

Author:Sabrina Cook, Mrs.Kliewer, Katie Akesson
Draw a segment. Label the endpoints A and B.
  1. Rotate segment AB clockwise around center B by 90 degrees. Label the new endpoint A'.
  2. Use the Polygon tool to draw triangle ABA'.

  1. What kind of triangle did you draw? What other properties do you notice in the figure? Explain your reasoning.

Draw a segment. Label the endpoints C and D. Rotate segment CD counterclockwise around center D by 30 degrees. Label the new endpoint C'. Rotate segment C'D counterclockwise around center D by 30 degrees. Label the new endpoint C''. Use the polygon tool to draw triangle CDC".

  1. What kind of triangle did you draw? What other properties do you notice in the figure? Explain your reasoning.

IM G Unit 1 Lesson 14 from IM Geometry by Illustrative Mathematics, [lesson URL]. Licensed under the Creative Commons Attribution 4.0 license, https://creativecommons.org/licenses/by/4.0/. 

Rotate isosceles triangle FGH about center J so that is lands on itself.

Is there more than 1 way to rotate triangle FGH about center J so that it lands on itself? List as many rotations that will work as you can. (Be sure to give the degrees of rotation and direction - cw or ccw)

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