If triangle ABC A(-4,5) B(-4,-6) and C(3,-8)is rotated 90 degrees clockwise about the origin, What would be the coordinates of the new image?

Respuesta :

Answer:

Option a is correct.  

The rotation for the transformation ​​ to ​ △A'B'C' is , rotation of 90 degree.

Explanation:

In  △ABC

The coordinate of point A = (1,1) , B = (3,1) and C = (1,4).

Rotate triangle ABC 90 degree's around the origin;

The rule for this transformation is:-  (x,y) to (-y ,x)

A(1,1) to A' (-1,1) ,

B(3,1)  to B'(-1 , 3) and

C(1,4)  to C' (-4,1)

therefore, rotation of 90 degree counter clockwise rotation around the origin results in the transformation of ​ △ABC ​​ to ​ △A'B'C'