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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 image of 1 -6 for a 270 counterclockwise rotation about the origin?
To find the image of the point (1, -6) after a 270-degree counterclockwise rotation about the origin, we can use the rotation formula. A 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation. The coordinates transform as follows: (x, y) becomes (y, -x). Therefore, the image of (1, -6) is (-6, -1).
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.
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.
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 the rule for a counterclockwise rotation about the origin of 270?
A counterclockwise rotation of 270 degrees about the origin is equivalent to a clockwise rotation of 90 degrees. To apply this transformation to a point (x, y), you can use the rule: (x, y) transforms to (y, -x). This means that the x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative of the x-coordinate.
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.
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.
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.
