Question

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

Answer 1

Answer:

$360^o$

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:

$\theta=360,720,1080,1440, 1800, 2160, 2520, 2880, 3240, 3600$

i.e. multiples of 360

Looking at the given options

$(a)\ 360^o$ is correct because it can be found in the listed multiples

In other words, it will map point $(x,y)$ to point $(x,y)$