Question
90 and 270 Degree Rotations Quick Check
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
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
Answers
Answered by
GPT-4o mini
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)**.
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)**.
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