Question

B. 17 Graph each figure and its image after the specified rotation about the origin. A. Triangle STU has vertices S(2, -1), T(5, 1) and U(3,3).

Answer 1

The image of a preimage when is rotated 90 degrees around the origin anticlockwise is M(h, k) is M'(-k, h).

Therefore, for the triangle with points:

`S(2,-1)\rightarrow S\langle-(-1),2\rangle\rightarrow S\langle1,2\rangle`
`T(5,1)\rightarrow T\langle-1,5\rangle`
`U(3,3)\rightarrow U\langle-3,3\rangle`

Thus, the rotation anticlockwise 90 degrees around the origin is:

S(2, -1) , S'(1, 2);

T(5, 1) , T'(-1, 5);

U(3, 3) , T"(-3, 3).