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How do you find the coordinates of a figure when it is rotated 90 degreees counterclockwise about the origin?
I like to do rotations with matrices. Let R_theta = the matrix with cos theta -sin theta sin theta cos theta Where theta is the angle of rotation So in your case, theta is 90 degres and cos 90=0, sin 90=1 so the matrix becomes 0 -1 1 0 Take any point, say (a,b) and multiply it by that matrix |0 -1| a|=(-b,a) 1 0| |b| So (1,0) becomes (0,1) and (-1,0) becomes (0,-1) ( 1,1) becomes (-1,1) Sadly the matrix stuff does not work well here, but the end result was (a,b) rotates to (-b,a)
What else can I help you with?
When a figure can be rotated 180 degrees and still looke the same?
When u rotated a figure 180 is the reflection the same
How do you rotate a figure 90 degrees counterclockwise?
The formula is (x,y) -> (y,-x). Verbal : switch the coordinates ; then change the sign of the new x coordinate. Example : (2,1) -> (1,-2)
When a figure is translated reflected or rotated what is the same about the original figure and its image?
It still has the same weight. Even turned or reflected the weight/mass remains the same.
What happens to the x and y coordinates when rotating a figure counterclockwise?
A rotation is a transformations when a figure is turned around a point called the point of rotation. The image has the same lengths and angle measures, and differs only in position. Rotations that are counterclockwise are rotations of positive angles. All rotations are assumed to be about the origin. R90 deg (x, y) = (-y, x) R180 deg (x, y) = (-x, -y) R270 deg (x, y) = (y, -x) R360 deg (x, y) = (x, y)
What is tesslation?
It's when a figure is rotated, reflected , translated etc but the corresponding angles and side lengths stay the same.
Does the angle measure increase by 90 deg if a figure is rotated 90 deg counterclockwise?
No, the angle measure of a figure does not increase by 90 degrees when it is rotated 90 degrees counterclockwise. Instead, the orientation of the figure changes, but the measures of its angles remain the same. The rotation simply affects the position of the figure in the plane, not the size or measure of its angles.
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 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 do you rotate a figure 270 degrees counterclockwise about origin?
To rotate a figure 270 degrees counterclockwise about the origin, you can achieve this by rotating it 90 degrees clockwise, as 270 degrees counterclockwise is equivalent to 90 degrees clockwise. For each point (x, y) of the figure, the new coordinates after the rotation will be (y, -x). This transformation effectively shifts the figure to its new orientation while maintaining its shape and size.
When a figure can be rotated 180 degrees and still looke the same?
When u rotated a figure 180 is the reflection the same
How do your rotate a figure 90 degrees clockwise?
To rotate a figure 90 degrees clockwise around a point, take each point of the figure and apply the following transformation: if the original point is at coordinates (x, y), the new coordinates after rotation will be (y, -x). This means you swap the x and y values and change the sign of the new x value. Make sure to apply this transformation to each point of the figure to get the complete rotated image.
The point about which a figure is rotated?
Center of rotation
What is a point about which a figure is rotated?
Point of rotation
How do you rotate a figure 90 degrees counterclockwise?
The formula is (x,y) -> (y,-x). Verbal : switch the coordinates ; then change the sign of the new x coordinate. Example : (2,1) -> (1,-2)
How does translating a figure vertically affect the coordinates of its vertices?
how does translation a figure vertically affect the coordinates of its vertices
What figure would it be if you rotated a smiley face?
well if you rotated it upside down then it would be a face with a uni brow.
What is the angle of rotation if you know how many vertices a figure has?
A figure can be rotated through any angle of your choice.
