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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).


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 can you tell the quadrant in which a point is located without refferring to the graph?

If the signs of the Cartesian coordinates are: (+, +) => first quadrant (-, +) => second quadrant (-, -) => third quadrant (+, -) => fourth quadrant. If one of the coordinates is 0 then the point is on an axis and NOT in a quadrant. If both coordinates are 0 then the point is at the origin. If the location of the point is given in polar coordinates, then you only need the angle. Suppose the principal angle is Φ, then 0 < Φ < 90 degrees => first quadrant 90 < Φ < 180 => second quadrant 180 < Φ < 270 => third quadrant 270 < Φ < 360 => fourth quadrant. Again, if the angle is 90, 180 etc degrees, the point is on an axis. If the magnitude is 0 then the point is at 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 a rotation of 180 Degrees counterclockwise?

A rotation of 180 degrees counterclockwise refers to turning a point or shape around a central point (such as the origin in a coordinate plane) by half a turn. This effectively moves each point to a position that is directly opposite its starting point. For example, if a point is at coordinates (x, y), after a 180-degree counterclockwise rotation, its new coordinates will be (-x, -y). This transformation maintains the shape and size but changes its orientation.

Related Questions

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 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?

.


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.


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.


Point Q was rotated about the origin (0,0) by 180 degrees?

depending on the graph where point Q was you would not be able to tell where point Q ended after the rotaion finshed


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 is the image of point (3 5) if the rotation is-180?

If the point (3,5) is rotated 180 degrees, it becomes (-3,-5).


How can you tell the quadrant in which a point is located without refferring to the graph?

If the signs of the Cartesian coordinates are: (+, +) => first quadrant (-, +) => second quadrant (-, -) => third quadrant (+, -) => fourth quadrant. If one of the coordinates is 0 then the point is on an axis and NOT in a quadrant. If both coordinates are 0 then the point is at the origin. If the location of the point is given in polar coordinates, then you only need the angle. Suppose the principal angle is Φ, then 0 < Φ < 90 degrees => first quadrant 90 < Φ < 180 => second quadrant 180 < Φ < 270 => third quadrant 270 < Φ < 360 => fourth quadrant. Again, if the angle is 90, 180 etc degrees, the point is on an axis. If the magnitude is 0 then the point is at the origin.


How many degrees has triangle ABC been rotated counterclockwise about the origin?

180 degrees.


What is the image of point (3 5) if the rotation is 180º?

If the point (3,5) is rotated 180 degrees, it becomes (-3,-5).