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Is rotation scalar or vector?
Rotation is a vector having a direction and magnitude.
The point where x and y axis meet?
It is the origin
The point where the x and y axis meet?
origin
Positive rotation of a vector is?
counterclockwise
What is one fourth of a rotation going counterclockwise?
1/4 of 360 degrees = 90 degrees which is a right angle
What is the image of 1 -6 after a 180 degree counterclockwise rotation about the origin?
A 180° rotation is half a rotation and it doesn't matter if it is clockwise of counter clockwise. When rotating 180° about the origin, the x-coordinate and y-coordinates change sign Thus (1, -6) → (-1, 6) after rotating 180° around the origin.
what is the image of the point (-2,7) after a rotation of 180 counterclockwise about the origin?
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
What is the image of (1 -6) for a 180 counterclockwise rotation about the origin?
It is (-1, 6).Also, if the rotation is 180 degrees, then clockwise or anticlockwise are irrelevant.It is (-1, 6).
What happens to the x- coordinate during a 180 degree rotation?
depends on the centre of rotation if it's about the origin the x coord is multiplied by -1
Is the composition of a reflection across the x and y axis similar to a 180 degree rotation about the origin?
yup.
What transformation gives the same result as a rotation of 180 around the origin followed by a reflection over the x axis?
Reflection in the y-axis.
Why doesn't the direction of rotation clockwise and counterclockwise matter when the angle of rotation is 180?
Because 180 degrees clockwise is the same as 180 degrees counterclockwise.
How many degrees and a half rotation?
180 degrees because a full rotation is 360 degrees, if you take half of 360 you get 180 :)
Which describes a transformation using rotation?
The centre of rotation, the angle of rotation and, unless the angle is 180 degrees, the direction of rotation.
How do you rotate a figure 180 degrees counterclockwise around the origin?
For every point A = (x,y) in your figure, a 180 degree counterclockwise rotation about the origin will result in a point A' = (x', y') where: x' = x * cos(180) - y * sin(180) y' = x * sin(180) + y * cos(180) Happy-fun time fact: This is equivalent to using a rotation matrix from Linear Algebra! Because a rotation is an isometry, you only have to rotate each vertex of a polygon, and then connect the respective rotated vertices to get the rotated polygon. You can rotate a closed curve as well, but you must figure out a way to rotate the infinite number of points in the curve. We are able to do this with straight lines above due to the property of isometries, which preserves distances between points.
What does a 540 degree look like?
360 degrees would be one full rotation. 180 degrees would be a half rotation. 360+180=540 So it would be a rotation and a half.
What is the angle of rotation of a rectangle?
180 degrees
