Question

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

Answer 1

Answer:

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

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 $A(x_1,y_1),B(x_2,y_2) ,C(x_3,y_3)$

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  $(-x_1,-y_1)$.

Answer 2

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.