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No, only their positions will change.
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).
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.
the center of the figure at the origin
The coords are (6, 1).
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.
Take any one point on the figure. Draw a line from it to the origin. At the origin measure an angle of 90 degrees (right angle) in a clockwise direction. Draw a line from the origin at this new angle and of the same length as the original angle. Repeat this process for the other points in the figure. NB Be careful, there will be numerous lines from the origin. At the end points of the new lines, connect up to reveal the origin figure ,but rotated 90 degrees - clockwise.
Visualize a capital "N." Rotated 90 degrees counter-clockwise (a quarter turn to the left) it would look like a capital "Z."
Move it 3 times* * * * *or once in the anti-clockwise direction.
That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.
You dont, its just 90 degrees 3 times..
No, only their positions will change.
The point with coordinates (p, q) will be rotated to the point with coordinates [(p - q)/sqrt(2), (p + q)/sqrt(2)].
the word algebraic is arabic.
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)
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The answer depends on whether the rotation is clockwise or anti-clockwise.For anti-clockwise rotation (the standard direction of rotation),old x-coordinate becomes new y-coordinate,old y-coordinate becomes minus new x-coordinate