Question

If triangle ABC is rotated 180 degrees about the origin, what are the coordinates of A?

Answer 1

The coordinates of A is
`(-x_1,-y_1)`.

Explanation:

We are given that a triangle ABC is rotated 180 degrees about the origin .

We have to find the coordinates of A.

Let vertices of triangle ABC
`A(x_1,y_1),B(x_2,y_2) ,C(x_3,y_3)`

When we rotate the about 180 degrees then the coordinates changes like as

`(x,y)\rightarrow (-x,-y)`

When we rotate triangle ABC about 180 degrees then its vertices Ais (
`x_1,y_1)` change into
`(-x_1,-y_1)`

Hence, the coordinates of A is
`(-x_1,-y_1)`.