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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 90 degree counterclockwise angle equivalent to?
Rotation preserves shape - therefore the angle before the rotation equals the angle after the rotation.
What transformation will be equivalent to rotating a fiigure 180 degrees counterclockwise?
Rotating a figure 180 degrees counterclockwise is equivalent to rotating it 180 degrees clockwise. Both transformations result in the figure being turned upside down, placing each point at its diametrically opposite position relative to the center of rotation. This transformation can also be represented as reflecting the figure across both the x-axis and y-axis simultaneously.
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 the name of the transformation in which each point on a figure is turned through a given angle and direction around a given point?
The transformation you're referring to is called rotation. In a rotation, each point of a figure is turned around a specific point, known as the center of rotation, through a specified angle and direction (clockwise or counterclockwise). This transformation preserves the shape and size of the figure while changing its orientation.
What is a rotation of 270 Degrees counterclockwise?
A rotation of 270 degrees counterclockwise is a transformation that turns a figure around a fixed point by 270 degrees in the counterclockwise direction. This rotation can be visualized as a quarter turn in the counterclockwise direction. It is equivalent to rotating the figure three-fourths of a full revolution counterclockwise.
The clock shows a rotation of 90°, followed by a rotation of 6°. This transformation could be replaced by which single transformation?
rotation
Is a composition of rotation followed by a glide reflection a congruence transformation?
Yes, it is.
What is a 90 degree counterclockwise angle equivalent to?
Rotation preserves shape - therefore the angle before the rotation equals the angle after the rotation.
What transformation will be equivalent to rotating a fiigure 180 degrees counterclockwise?
Rotating a figure 180 degrees counterclockwise is equivalent to rotating it 180 degrees clockwise. Both transformations result in the figure being turned upside down, placing each point at its diametrically opposite position relative to the center of rotation. This transformation can also be represented as reflecting the figure across both the x-axis and y-axis simultaneously.
What do you call spinning in a counterclockwise direction?
Spinning in a counterclockwise direction is called anti-clockwise rotation or counterclockwise rotation.
The equation of rotation geometric transformation?
In two dimensions, the equations of rotation about the origin are: x' = x cos t - y sin t y' = x sin t + y cos t. where t is the angle of rotation, counterclockwise.
What is A ROTAION?
Rotation is the act of spinning or turning around a central axis. It is a transformation that changes the orientation of an object without changing its shape or size. Rotations are commonly used in geometry and can be clockwise or counterclockwise.
Find a 90 degree counterclockwise rotation?
follow this formula (x,y)->(-y,x)
Positive rotation of a vector is?
counterclockwise
Which way do rotation occurs if you are not told otherwise?
By default, rotation is assumed to occur in a counterclockwise direction unless otherwise specified.
What is image of point 4 3 if rotation is 90?
To find the image of the point (4, 3) after a 90-degree rotation counterclockwise about the origin, you can use the transformation formula for rotation. The new coordinates will be (-y, x), which means the image of the point (4, 3) will be (-3, 4).
