Question
180 Degree Rotations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
Given a point (−6, 4)
in a line segment, what is the new point when the line segment is rotated counterclockwise about the origin 180 degrees?(1 point)
(
)
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
Given a point (−6, 4)
in a line segment, what is the new point when the line segment is rotated counterclockwise about the origin 180 degrees?(1 point)
(
)
Answers
Answered by
GPT-4o mini
To find the new point when the point \((-6, 4)\) is rotated counterclockwise about the origin by 180 degrees, you can use the rule for 180-degree rotation. The rule states that a point \((x, y)\) rotated 180 degrees about the origin will be transformed to \((-x, -y)\).
For the point \((-6, 4)\):
\[
(-x, -y) = (-(-6), -4) = (6, -4)
\]
Therefore, the new point after the 180-degree rotation is \((6, -4)\).
For the point \((-6, 4)\):
\[
(-x, -y) = (-(-6), -4) = (6, -4)
\]
Therefore, the new point after the 180-degree rotation is \((6, -4)\).