To find the transformation of point B(4, 8) when dilated by a scale factor of 2 using the origin as the center of dilation, you multiply each coordinate by the scale factor. Thus, the new coordinates will be B'(4 * 2, 8 * 2), which simplifies to B'(8, 16). Therefore, point B(4, 8) transforms to B'(8, 16) after the dilation.
A transformation in which the figure grows larger is called dilation. In dilation, every point of the figure is moved away from a fixed center point by a scale factor greater than one. This results in a proportional increase in the size of the figure while maintaining its shape.
In mathematics, dilation refers to a transformation that alters the size of a geometric figure while maintaining its shape and proportions. This involves resizing the figure by a scale factor relative to a fixed point known as the center of dilation. A scale factor greater than one enlarges the figure, while a scale factor between zero and one reduces it. Dilation is commonly used in geometry to study similar figures and their properties.
If the original point was (-4, 12) then the image is (-16, 48).
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).
To find the transformation of point B(4, 8) when dilated by a scale factor of 2 using the origin as the center of dilation, you multiply each coordinate by the scale factor. Thus, the new coordinates will be B'(4 * 2, 8 * 2), which simplifies to B'(8, 16). Therefore, point B(4, 8) transforms to B'(8, 16) after the dilation.
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.
A polar inversion is a geometric transformation that swaps each point through a circle with its antipodal point. It is also known as a circle inversion, where the center of inversion is the center of the circle, and points inside the circle are mapped outside while points outside are mapped inside. This transformation preserves angles but distorts distances.
The number of decimal places in a factor is determined by counting the digits to the right of the decimal point. In the case of the factor 40, there are no decimal places, as there is no decimal point present. Therefore, the number of decimal places in the factor 40 is 0.
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.
If the original point was (-4, 12) then the image is (-16, 48).
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).
Yes. The center is the mid-point of the segment, and that's all you need to uniquely define a circle.
The rule for the transformation above is translation. Translation is a transformation that moves every point of a figure the same distance in the same direction.