[list=1][*]Rotate [i]ABCD[/i] 90 degrees clockwise around [i]Q[/i].[/*][*]Rotate [i]ABCD[/i] 180 degrees around [i]R.[/i][/*][/list]

[list=1][*]Rotate [i]HJKLMN[/i]120 degrees clockwise around [i]O[/i].[/*][*]Rotate [i]HJKLMN[/i] 60 degrees counterclockwise around [i]P[/i].[/*][/list]

Mai suspects triangle [i]ABC[/i] is congruent to triangle [i]DEF[/i]. She thinks these steps will work to show there is a rigid transformation from [i]ABC[/i]  to [i]DEF[/i].[br][list][*]Translate by directed line segment [i]v[/i].[/*][*]Rotate the image ____ degrees counterclockwise around point [i]D[/i].[/*][*]Reflect that image over line [i]DE[/i].[/*][/list]Draw each image and determine the angle of rotation needed for these steps to take [i]ABC[/i]  to [i]DEF[/i].

IM G Unit 1 Lesson 13 from IM Geometry by Illustrative Mathematics, https://im.kendallhunt.com/HS/students/2/1/13/index.html. 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].