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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)].
How do you rotate a figure 90 degrees counter clockwise about the origin?
You have to switch the x and y coordinates and multiply your new x coordinate by -1. You can also dram the point and rotate your paper physically by 90 degrees. Example: Your Coordinates: (3,8) New Coordinates: (-8,3) (3,8) ---> (8,3) ---> (-8,3) Another Ex: (-7,-1) --> (-1,-7) --> (1,-7)
What is the image of 1 -6 for a 90 counterclockwise rotation about the origin?
(-1, -4) rotated 90 degrees anticlockwise
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.]
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).
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)].
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 rotation 90degrees clockwise about the origin on a figure?
To rotate a point or figure 90 degrees clockwise about the origin, you can use the transformation formula: for a point (x, y), the new coordinates after rotation will be (y, -x). Apply this transformation to each vertex of the figure. After calculating the new coordinates for all points, plot them to visualize the rotated figure.
How the Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270 and deg about the origin?
That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.
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 point (-10-3) after a 180 degree clockwise rotation about the origin?
To rotate the point (-10, -3) 180 degrees clockwise about the origin, you can apply the transformation that inverts both coordinates. The new coordinates will be (10, 3). Therefore, after the rotation, the point (-10, -3) becomes (10, 3).
How do you you rotate a figure 90 degrees clockwise about the origin?
To rotate a figure 90 degrees clockwise about the origin, simply swap the x and y coordinates of each point and then negate the new y-coordinate. This is equivalent to reflecting the figure over the line y = x and then over the y-axis.
What happens to the x- and y- coordinates when an object is rotated 90 degrees about the origin?
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
What coordinates will a point xy rotated 180 about the origin have?
When a point with coordinates (x, y) is rotated 180 degrees about the origin, its new coordinates become (-x, -y). This transformation reflects the point across both the x-axis and y-axis, effectively reversing its position. Thus, if you start with the point (x, y), after the rotation, it will be located at (-x, -y).
How do you rotate a figure 180 degrees about origin?
Visualize a capital "N." Rotated 90 degrees counter-clockwise (a quarter turn to the left) it would look like a capital "Z."
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.
