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

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

(−4, 2)
(
−
4
,

2
)
left parenthesis negative 4 comma 2 right parenthesis

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

(−4,−2)

Answer 1

To determine the new coordinates of point A (2, 4) when the triangle is rotated 90 degrees clockwise, we can use the rule for rotation of coordinates:

When a point (x, y) is rotated 90 degrees clockwise, the new coordinates become (y, -x).

Applying this to point A (2, 4):

• x = 2
• y = 4

After rotation:

• New x-coordinate = y = 4
• New y-coordinate = -x = -2

Thus, the new coordinates after a 90-degree clockwise rotation are (4, -2).

So, the correct response is:

(4, −2)