Respuesta :

The coordinates of A(x, y) will be mapped to A'(-x, -y).

A rotation of 180° negates, or changes the sign of, both the x- and y-coordinates of the points.

Answer:

The coordinates of A is  [tex](-x_1,-y_1)[/tex].

Step-by-step 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 [tex]A(x_1,y_1),B(x_2,y_2) ,C(x_3,y_3)[/tex]

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

[tex](x,y)\rightarrow (-x,-y)[/tex]

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

Hence, the coordinates of A is  [tex](-x_1,-y_1)[/tex].