Given point A(2, 6)

Question

𝐴
(
2
,

6
)
on the triangle, where would the new point on the triangle be after a rotation of 90 degrees clockwise?

Answer 1

To rotate a point \( A(x, y) \) 90 degrees clockwise around the origin, you can use the following transformation:

\[ (x', y') = (y, -x) \]

In this case, the original point is \( A(2, 6) \). Applying the transformation:

• \( x' = y = 6 \)
• \( y' = -x = -2 \)

Thus, after a rotation of 90 degrees clockwise, point \( A(2, 6) \) will be at the new coordinates:

\[ A'(6, -2) \]

So the new point after the rotation is \( A'(6, -2) \).