Respuesta :

Depends if the rotation is clockwise or counterclockwise.  I'll give both answers and you can decide which to pick

Clockwise - A' = (8, -6)  - switch x and y and negate the y
Counter - A' = (-8, 6) - switch the x and y and negate the x

Answer : coordinates of A ( clockwise)  is  ( 6 , 8 ) →→ (8 , -6).

coordinates of A ( counter clockwise)  is  ( 6 , 8 ) →→ (-8 , 6).

Step-by-step explanation:

Given  :  triangle ABC with vertices A (6, 8), B (6, 12), and C (10, 12)  is rotated 90°.

To find : what are the coordinates of B.

Solution : We have given

Vertices  A (6, 8), B (6, 12), and C (10, 12)   is rotated 90° .

By the rotation rule of 90°( clockwise)  is  ( x , y ) →→ (y , -x).

          Rule of 90°( counter clockwise)  is  ( x , y ) →→ (-y , x).

Then coordinates of A ( clockwise)  is  ( 6 , 8 ) →→ (8 , -6).

coordinates of A ( counter clockwise)  is  ( 6 , 8 ) →→ (-8 , 6).

Therefore,  coordinates of A ( clockwise)  is  ( 6 , 8 ) →→ (8 , -6).

coordinates of A ( counter clockwise)  is  ( 6 , 8 ) →→ (-8 , 6).