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Is this statement true or falseThe image of the shaded triangle is a 90° counterclockwise rotation around (0, 0) in the coordinate plane?
What else can I help you with?
Is this statement true or falseThe composition of two reflections is a translation, a rotation, or the identity transformation?
true
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 do you call spinning in a counterclockwise direction?
Spinning in a counterclockwise direction is called anti-clockwise rotation or counterclockwise rotation.
Why is counterclockwise rotation is positive and clockwise is negative?
Counterclockwise rotation is considered positive based on the standard convention used in mathematics, particularly in trigonometry and coordinate geometry. This convention aligns with the orientation of the Cartesian coordinate system, where angles are measured from the positive x-axis. Clockwise rotation, on the other hand, is deemed negative as it moves in the opposite direction. This differentiation helps maintain consistency in mathematical equations and calculations involving angles.
What is the rule for a 270 degree counter clockwise rotation?
A 270-degree counterclockwise rotation around the origin in a Cartesian coordinate system transforms a point ((x, y)) to the new coordinates ((y, -x)). This means the x-coordinate becomes the y-coordinate, and the y-coordinate changes its sign and becomes the new x-coordinate. Essentially, it rotates the point three-quarters of the way around the origin.
What is a rotation of 90 Degrees counterclockwise?
A rotation of 90 degrees counterclockwise is a transformation that turns a point or shape around a fixed point (usually the origin in a coordinate plane) by a quarter turn in the opposite direction of the clock's hands. For a point with coordinates (x, y), this rotation results in new coordinates (-y, x). This type of rotation is commonly used in geometry and computer graphics to manipulate shapes and objects.
what is the image of the point (-2,7) after a rotation of 180 counterclockwise about the origin?
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
Find a 90 degree counterclockwise rotation?
follow this formula (x,y)->(-y,x)
What is a rotation of 180 Degrees counterclockwise?
A rotation of 180 degrees counterclockwise refers to turning a point or shape around a central point (such as the origin in a coordinate plane) by half a turn. This effectively moves each point to a position that is directly opposite its starting point. For example, if a point is at coordinates (x, y), after a 180-degree counterclockwise rotation, its new coordinates will be (-x, -y). This transformation maintains the shape and size but changes its orientation.
What clockwise rotation produces the same image as a counterclockwise rotation of 220 degrees?
A counterclockwise rotation of 220 degrees can be converted to a clockwise rotation by subtracting it from 360 degrees. Thus, 360 - 220 = 140 degrees. Therefore, a clockwise rotation of 140 degrees produces the same image as a counterclockwise rotation of 220 degrees.
Positive rotation of a vector is?
counterclockwise
What is a rotation of 270 Degrees clockwise?
A rotation of 270 degrees clockwise is equivalent to a rotation of 90 degrees counterclockwise. In a Cartesian coordinate system, this means that a point originally at (x, y) will move to (y, -x) after the rotation. Essentially, it shifts the point three-quarters of the way around the origin in the clockwise direction.
