Given a point (1, 2) on a geometric figure, what is the new point when the figure is rotated clockwise about the origin 180 degrees?
When a point is rotated 180 degrees clockwise about the origin, the x-coordinate and y-coordinate of the point are negated. So, given the point (1, 2), the new point after rotating the figure 180 degrees clockwise would be (-1, -2).
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?
To rotate a point counterclockwise about the origin by 180 degrees, we negate both the x-coordinate and the y-coordinate.
Given the point (-6, 4), negating the x-coordinate gives us (6, 4), and negating the y-coordinate gives us (-6, -4).
Therefore, the new point when the line segment is rotated counterclockwise about the origin 180 degrees is (6, -4).
Given point A(2, 6) on the triangle, where would the new point on the triangle be after a rotation of 90 degrees clockwise
To rotate a point 90 degrees clockwise about the origin, we can use the following transformation:
x' = y
y' = -x
Given point A(2, 6), applying this transformation gives us:
x' = 6
y' = -2
Therefore, the new point on the triangle after a rotation of 90 degrees clockwise would be (6, -2).
Given point A(2, 6) on the triangle, where would the new point on the triangle be after a rotation of 90 degrees counterclockwise?
To rotate a point (x, y) 90 degrees counterclockwise about the origin, the new coordinates can be found using the following transformation:
x' = -y
y' = x
Applying this transformation to point A(2, 6), we have:
x' = -6
y' = 2
Therefore, the new point on the triangle after a rotation of 90 degrees counterclockwise would be (-6, 2).