Question

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.

Answer 1

Answer: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'.

Answer 2

If A is at point (x,y), then A' would be at point (-x,-y). Same goes for points B and C.