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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 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.
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.
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 the difference of counterclockwise and clockwise?
Referring to the direction of rotation, a clockwise direction indicates rotation in the same direction as the hands move on the face of a clock. Counterclockwise rotation is in the opposite direction.
How do a 90 counterclockwise look like?
A 90-degree counterclockwise rotation involves turning an object or point 90 degrees to the left around a specified pivot point. For example, if you imagine a point on a Cartesian coordinate system, moving it 90 degrees counterclockwise would shift its position from, say, (1, 0) to (0, 1). This transformation effectively swaps the x and y coordinates and changes the sign of the new x-coordinate.
