Given point A (2, 4)

Question

𝐴

(
2
,

4
)
on the triangle in Quadrant I, how would you describe the coordinates of the new point when the triangle is rotated 90 degrees clockwise?

(1 point)
Responses

(4,−2)
(
4
,
−
2
)
left parenthesis 4 comma negative 2 right parenthesis

(−4,−2)
(
−
4
,
−
2
)
left parenthesis negative 4 comma negative 2 right parenthesis

(−2,−4)
(
−
2
,
−
4
)
left parenthesis negative 2 comma negative 4 right parenthesis

(−4, 2)

Answer 1

To rotate a point 90 degrees clockwise around the origin (0, 0), you can use the following transformation rule:

If the original point is \( (x, y) \), then the coordinates of the new point after a 90-degree clockwise rotation will be \( (y, -x) \).

Given the point \( A (2, 4) \):

• Apply the transformation:
  • The new x-coordinate will be the original y-coordinate: \( 4 \)
  • The new y-coordinate will be the negative of the original x-coordinate: \( -2 \)

So, after rotation, the coordinates of point A become \( (4, -2) \).

Thus, the correct response is:

(4, -2).