A 180° rotation is half a rotation and it doesn't matter if it is clockwise of counter clockwise.
When rotating 180° about the origin, the x-coordinate and y-coordinates change sign
Thus (1, -6) → (-1, 6) after rotating 180° around the origin.
It is (-1, 6).
The smallest degree of rotation needed for an image to look the same is 360 degrees, which is a full rotation. This is because rotating an image by any multiple of 360 degrees will result in the image returning to its original orientation. Therefore, the smallest degree of rotation needed for the image to appear unchanged is a full rotation of 360 degrees.
The image and pre-image are congruent.
They are translation, reflection and rotation. An enlargement changes the size of the image.
The new images can be: A translation, a reflexion, an enlargement and a rotation.
It is (-6, -1).
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).
It is (-1, 6).
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
(-1, -4) rotated 90 degrees anticlockwise
The answer will depend on whether the rotation is clockwise or counterclockwise.
The answer will depend on whether the rotation is clockwise or counterclockwise.
It is (6, 1).
It is (-1, 6).Also, if the rotation is 180 degrees, then clockwise or anticlockwise are irrelevant.It is (-1, 6).
To find the image of ABC for a 180-degree counterclockwise rotation about point P, we would reflect each point of the triangle across the line passing through P. The resulting image of ABC would be a congruent triangle with its vertices in opposite positions relative to the original triangle.
To find the image of the point (4, 3) after a -90-degree rotation (which is equivalent to a 90-degree clockwise rotation), you can use the rotation formula: (x', y') = (y, -x). Applying this to the point (4, 3), the new coordinates become (3, -4). Therefore, the image of the point (4, 3) after a -90-degree rotation is (3, -4).
The answer depends on the location of A and C. Without that information the question cannot be answered.