michellevillarruel05 michellevillarruel05
  • 01-06-2021
  • Mathematics
contestada

what degree of rotation about the origin will cause the triangle below to map onto itslef

what degree of rotation about the origin will cause the triangle below to map onto itslef class=

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 06-06-2021

Answer:

[tex]360^o[/tex]

Step-by-step explanation:

Given

The attached plot

Required

Which degree maps the triangle onto itself

The degrees that can map a point, line, or shape onto itself are:

[tex]\theta=360,720,1080,1440, 1800, 2160, 2520, 2880, 3240, 3600[/tex]

i.e. multiples of 360

Looking at the given options

[tex](a)\ 360^o[/tex] is correct because it can be found in the listed multiples

In other words, it will map point [tex](x,y)[/tex] to point [tex](x,y)[/tex]

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