Question

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

Answer 1

`360^o`

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)`