Draw a segment. Label the endpoints [i]A[/i] and [i]B[/i].[list=1][*]Rotate segment [i]AB[/i] clockwise around center [i]B[/i] by 90 degrees. Label the new endpoint [i]A'[/i].[/*][*]Use the Polygon tool to draw triangle [i]ABA'[/i].[/*][/list]
[list=1][*]What kind of triangle did you draw? What other properties do you notice in the figure? Explain your reasoning.[/*][/list]
Draw a segment. Label the endpoints [i]C[/i] and [i]D.[br][/i]Rotate segment [i]CD[/i] counterclockwise around center [i]D[/i] by 30 degrees. Label the new endpoint [i]C'[/i].[br]Rotate segment [i]C'D [/i]counterclockwise around center [i]D[/i] by 30 degrees. Label the new endpoint [i]C''[/i].[br]Use the polygon tool to draw triangle [i]CDC"[/i].
[list=1][*]What kind of triangle did you draw? What other properties do you notice in the figure? Explain your reasoning.[/*][/list]
IM G Unit 1 Lesson 14 from IM Geometry by Illustrative Mathematics, [lesson URL]. Licensed under the Creative Commons Attribution 4.0 license, [url=https://creativecommons.org/licenses/by/4.0/]https://creativecommons.org/licenses/by/4.0/[/url].
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)