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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.
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.
When a figure can be rotated 180 degrees and still looke the same?
When u rotated a figure 180 is the reflection the same
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.
Which transformation will be equivalent to rotating a figure 90 counterclockwise?
An equivalent transformation to rotating a figure 90 degrees counterclockwise can be achieved by reflecting the figure across the line (y = x) and then reflecting it across the x-axis. This combination of reflections results in the same final orientation as the 90-degree counterclockwise rotation.
What is a transformtion in which a figure is rotated about a point called the center of rotation?
It is called a rotation.
How do you rotate a figure 180 degrees counterclockwise around the origin?
For every point A = (x,y) in your figure, a 180 degree counterclockwise rotation about the origin will result in a point A' = (x', y') where: x' = x * cos(180) - y * sin(180) y' = x * sin(180) + y * cos(180) Happy-fun time fact: This is equivalent to using a rotation matrix from Linear Algebra! Because a rotation is an isometry, you only have to rotate each vertex of a polygon, and then connect the respective rotated vertices to get the rotated polygon. You can rotate a closed curve as well, but you must figure out a way to rotate the infinite number of points in the curve. We are able to do this with straight lines above due to the property of isometries, which preserves distances between points.
