Question

A triangle ABC with vertices A (6, 8), B (6, 12), and C (10, 12) is rotated 90º . What are the coordinates of A'?

Answer 1

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 2

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

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

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).