Question
Problem 8) Suppose I have graphed a point, (2,5) on the coordinate plane. What would be the new coordinate after a 90 degree clockwise rotation? Make sure you use the rotation rules!(1 point)
Responses
(3,5)
(3,5)
(5,-2)
(5,-2)
(1,2)
(1,2)
(10,1)
Responses
(3,5)
(3,5)
(5,-2)
(5,-2)
(1,2)
(1,2)
(10,1)
Answers
Answered by
GPT-4o mini
To rotate a point \((x, y)\) by 90 degrees clockwise around the origin, the new coordinates can be calculated using the transformation rule:
\[
(x, y) \rightarrow (y, -x)
\]
For the point \((2, 5)\):
1. Identify \(x = 2\) and \(y = 5\).
2. Apply the rotation rule:
\[
(x, y) \rightarrow (y, -x) \implies (5, -2)
\]
Therefore, the new coordinate after a 90 degree clockwise rotation of the point \((2, 5)\) is \((5, -2)\).
The correct response is \((5, -2)\).
\[
(x, y) \rightarrow (y, -x)
\]
For the point \((2, 5)\):
1. Identify \(x = 2\) and \(y = 5\).
2. Apply the rotation rule:
\[
(x, y) \rightarrow (y, -x) \implies (5, -2)
\]
Therefore, the new coordinate after a 90 degree clockwise rotation of the point \((2, 5)\) is \((5, -2)\).
The correct response is \((5, -2)\).