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Transformation in maths is when you shift a point or multiple points in terms of it's original point. Ie if you were to shift the point (2;1) about the x axis the transformed point would be (-2;1).
If the original point was (-4, 12) then the image is (-16, 48).
A rotation
a pivot
Scaling will proportionally reduce or enlarge a figure. The amount of scaling is given by the scale factor (greater than zero) If the scale factor is less than 1, the figure is reduced and it is sometimes called a contraction If the scale factor is greater than 1, the figure is enlarged, and it is called a dilation or enlargement. If a centre of enlargement is used, the distance of every point from the centre is multiplied by the scale factor. The scale factor can be negative in which case the distance to the new point is measured on the opposite side of the centre to the original point.
An enlargement with a scale factor of 0.
Reflection over a point is equivalent to enlargement with the same point as the focus of enlargement and a scale factor of -1.
True transformation efficiency is the transformation efficiency at the saturation point, or essentially the highest transformation efficiency that can be attained.
Well this is my thought depending on where the point of dilation is the coordinates of the give plane is determined. The point of dilation not only is main factor that positions the coordinates, but the scale factor has a huge impact on the placement of the coordinates.
Multiply the distance of each coordinate from the center by the scale factor to get the new position: new_coord = center_coord + (old_coord - center_coord) x scale_factor. The x and y coordinates are worked out separately; for (1, -2), center (0, 0), scale factor 2.5: new_x = 0 + (1 - 0) x 2.5 = 2.5 new_y = 0 + (-2 - 0) x 2.5 = -5 → P (1, -2) goes to (2.5, -5) under the transformation.
Transformation in maths is when you shift a point or multiple points in terms of it's original point. Ie if you were to shift the point (2;1) about the x axis the transformed point would be (-2;1).
If the original point was (-4, 12) then the image is (-16, 48).
Yes. The center is the mid-point of the segment, and that's all you need to uniquely define a circle.
rotation
Rotation
A rotation
a pivot