Question

Rotate the point (−4, −6) on a geometric figure 90 degrees counterclockwise. What is the new point?(1 point) Responses (−6, 4) left parenthesis negative 6 comma 4 right parenthesis (6, 4) left parenthesis 6 comma 4 right parenthesis (−6, −4) left parenthesis negative 6 comma negative 4 right parenthesis (6, −4)

Answer 1

To rotate the point \((-4, -6)\) by 90 degrees counterclockwise, we can use the rotation rule for points in the Cartesian plane. The rule states that for a point \((x, y)\), rotating it 90 degrees counterclockwise transforms it to \((-y, x)\).

Applying this rule to the point \((-4, -6)\):

1. The new x-coordinate will be \(-(-6) = 6\).
2. The new y-coordinate will be \(-4\).

Thus, the new point after a 90-degree counterclockwise rotation is \((6, -4)\).

So the correct response is \((6, -4)\).