Given point A (2, 4)

Question

on the triangle Quadrant I, where is the new point if the triangle is rotated 270 degrees counterclockwise?

(1 point)
Responses

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

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

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

(−4,−2)

Answer 1

To rotate a point (x, y) 270 degrees counterclockwise, you can use the transformation:

\[ (x, y) \rightarrow (y, -x) \]

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

1. Substitute \( x = 2 \) and \( y = 4 \): \[ (2, 4) \rightarrow (4, -2) \]

Thus, after a 270-degree counterclockwise rotation, the new point is \( (4, -2) \).

The correct response is:

\((4, -2)\)