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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).
Is this symmetric with y x origin or all y 20x?
y = 20x is symmetric about the origin. (If you rotate it around the origin, it will look the same before it is rotated 360 degrees).
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.
How do you reflect a figure around the origin?
The best way is this:Draw a line from the point closest to the origin to the actual origin. Rotate the line however many degrees you are told, whichever way you are told. After you have the point closest to the origin rotated, you can either rotate the other points the same way or just draw them in based on where the other point lies.Another way, sort of the cheater way, is to just take a piece of tracing paper and trace the figure onto it. Hold it down by pressing your pencil on the tracing paper where the origin is, and rotating it however many degrees, whichever way you are told.This is for ROTATE. To reflect just use the opposite signs on the coordinates.
How does the coordinates change in rotation?
When a point ((x, y)) is rotated around the origin by an angle (\theta), the new coordinates ((x', y')) can be determined using the rotation formulas: (x' = x \cos(\theta) - y \sin(\theta)) and (y' = x \sin(\theta) + y \cos(\theta)). This transformation effectively changes the point's position in a circular motion around the origin based on the specified angle. The direction of rotation (clockwise or counterclockwise) also affects the signs of the trigonometric functions used.
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).
If triangle DEF is rotated 180 degrees clockwise around the origin what will be the coordinates of point E in the image D (-13) E (31) and F (2-2)?
add the
How do you rotate a figure 180 degrees clockwise about origin?
To rotate a figure 180 degrees clockwise about the origin you need to take all of the coordinates of the figure and change the sign of the x-coordinates to the opposite sign(positive to negative or negative to positive). You then do the same with the y-coordinates and plot the resulting coordinates to get your rotated figure.
How do you rotate a shape 315 degrees clockwise about the origin?
The point with coordinates (p, q) will be rotated to the point with coordinates [(p - q)/sqrt(2), (p + q)/sqrt(2)].
What are the coordinates of the image of the point 2 5 after it is rotated 180 degrees clockwise about the origin?
Rotating it about the origin 180° (either way, it's half a turn) will transform a point with coordinates (x, y) to that with coordinates (-x, -y) Thus (2, 5) → (-2, -5)
Point Q was rotated about origin (0,0) by 180 degrees?
.
What is true about corresponding line segments of an object that has been rotated 180 degrees about the origin?
The line segments will have been rotated by 180 degrees.
Is this symmetric with y x origin or all y 20x?
y = 20x is symmetric about the origin. (If you rotate it around the origin, it will look the same before it is rotated 360 degrees).
How many degrees has triangle ABC been rotated counterclockwise about the origin?
180 degrees.
How do you rotate a triangle around a point that is not origin?
If you know how to rotate a triangle around the origin, treat the point as the origin.If you have Cartesian coordinates (that is x, y pairs) for the points of the triangle,subtract the coordinates of the centre of rotation from the coordinates of the triangle, do the rotation and then add them back on.Doing it geometrically:Draw line from centre of rotation to a point (for example a vertex)Measure the required angle from this line and draw in the rotated lineMeasure the distance from the centre of rotation to the original point and measure along the rotated line the required distance to get the rotated point.repeat for as many points as needed (eg the 3 vertices of the triangle) and join together the rotated points in the same was as the original points.[The construction lines drawn to the centre of rotation can be erased once the rotated point is found.]
How do you find the coordinates of a figure when it is rotated 180 degrees around the origin?
Think of any figure, with any shape, on the graph with the origin inside the shape.Now think of any point inside the shape (except the origin).Now, in your imagination, slowly and carefully turn the shape 180 degrees around the origin ...as if it were stuck to the origin with a pin, and you gave it 1/2 turn on the pin.What happened to the point you were thinking of ?If the point started out some distance to the right of the y-axis, it wound up the same distanceto the left of the y-axis.And if it started out some distance above the x-axis, it wound up the same distance below the x-axis.So ... any point that starts out at the coordinates ( x , y ) before the 1/2 turn, winds upat the coordinates ( -x , -y ) after the 1/2 turn.
What are the coordinates of tha origin?
It's at the point of originwhere the x and y axes intersect at 90 degrees at the coordinates of (0, 0)
