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 90 degrees clockwise around the origin, you can use the following transformation:

If a point \( (x, y) \) is rotated 90 degrees clockwise, the new coordinates \( (x', y') \) can be calculated using:

\[ x' = y \] \[ y' = -x \]

Given the point \( A(2, 6) \):

1. Set \( x = 2 \) and \( y = 6 \).
2. Apply the transformation:

\[ x' = y = 6 \] \[ y' = -x = -2 \]

Thus, the new coordinates of point \( A \) after a 90-degree clockwise rotation are:

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

So, the new point on the triangle after the rotation is \( (6, -2) \).