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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 (1 -6) for a 180 degree counterclockwise rotation about the origin?

To find the image of the point (1, -6) after a 180-degree counterclockwise rotation about the origin, you can use the rotation transformation. A 180-degree rotation changes the coordinates (x, y) to (-x, -y). Therefore, the image of the point (1, -6) is (-1, 6).


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 is the image of (5 4) when it is rotated 180 degrees about the origin?

To find the image of the point (5, 4) when rotated 180 degrees about the origin, you can apply the transformation that changes the signs of both coordinates. Thus, the new coordinates will be (-5, -4). Therefore, the image of the point (5, 4) after a 180-degree rotation about the origin is (-5, -4).


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.


How do you rotate 180 degrees counter clockwise about origin?

To rotate a point 180 degrees counterclockwise about the origin, you can simply change the signs of both the x and y coordinates of the point. For example, if the original point is (x, y), after the rotation, the new coordinates will be (-x, -y). This effectively reflects the point across the origin.


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.


What is the Rotation rule for 180 counter clockwise?

The rotation rule for a 180-degree counterclockwise rotation involves turning a point around the origin (0, 0) by half a circle. For any point (x, y), the new coordinates after this rotation become (-x, -y). This means that both the x and y coordinates are negated. For example, the point (3, 4) would rotate to (-3, -4).


What is an 180 degree rotation?

A 180-degree rotation is a transformation that turns a shape or point around a center point (often referred to as the origin) by half a full turn, resulting in the shape or point being flipped to the opposite side. For a point (x, y), the new coordinates after a 180-degree rotation will be (-x, -y). This type of rotation effectively mirrors the object across the center point. It is commonly used in various fields, including geometry, computer graphics, and robotics.