Respuesta :
Answer:the map notation is (x,y) to (y,-x) at a 90 degree angle
180 degrees map notation is (x,y) to (-x,-y)
360 degrees map notation is (x,y) to (-y,x)
Step-by-step explanation: the answer is they are congruent
Answer:
Given the coordinates of triangle ABC are A(2,-1), B(4,1), C(3,3) and coordinates of triangle A'B'C' are A'(1,2), B'(-1,4), C'(-3,3).
To find the rotation rule that verifies that the triangle ABC and A'B'C' are congruent.
The rule of rotation of 90 degree counterclockwise is given by:
[tex](x, y) \rightarrow (-y, x)[/tex]
[tex]A(2, -1) \rightarrow (-(-1), 2)=(1, 2) =A'[/tex]
[tex]B(4, 1) \rightarrow (-1, 4)=B'[/tex]
[tex]C(3, 3) \rightarrow (-3, 3)=C'[/tex]
Therefore, the rotation rule that verifies that the triangle ABC and A'B'C' are congruent is [tex](x, y) \rightarrow (-y, x)[/tex]
