Triangle abc is rotated 180o about the origin. use complete sentences to describe the relationship between the corresponding angles of triangle abc and its image.

The coordinates will change signs and the angles will be congruent.

Step-by-step explanation:

If a point (x,y) is rotated by 180° through the origin the coordinates of the new points are (-x,-y).That is the coordintes will change its sign.

If a triangle ABC is rotated by origin by 180°  to have an image A'B'C' the coordinates of  the new points will be opposite to the original points.

In any rotation the shape is preserved and the triangles are similar .Hence <A≅<A' ,<B ≅<B' and <C≅<C'.