90 and 270 Degree Rotations Quick Check

Question

4 of 54 of 5 Items
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 negative 4 right parenthesis

(6, −4)
left parenthesis 6 comma negative 4 right parenthesis

(6, 4)
left parenthesis 6 comma 4 right parenthesis

(−6, 4)
left parenthesis negative 6 comma 4 right parenthesis

Answer 1

To rotate the point \((-4, -6)\) by 90 degrees counterclockwise, you can use the rotation rule which states that the coordinates \((x, y)\) will transform to \((-y, x)\).

Starting with the point \((-4, -6)\):

1. \(x = -4\)
2. \(y = -6\)

Applying the rotation rule:

• New x-coordinate: \(-(-6) = 6\)
• New y-coordinate: \(-4\)

So the new coordinates after the 90 degrees counterclockwise rotation are \((6, -4)\).

Therefore, the answer is: (6, -4).