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.
congruent figure
A transformation determined by a center point and a scale factor is known as a dilation. In this transformation, all points in a geometric figure are moved away from or toward the center point by a factor of the scale. If the scale factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure shrinks. This transformation preserves the shape of the figure but alters its size.
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.
A figure resulting from a transformation is called an IMAGE
A similar figure is proportionally the same shape as another figure and all the angles are the same.
yes
Dilation is a linear transformation that enlarges or shrinks a figure proportionally. It is also referred to as uniform scaling in Euclidean geometry.
congruent figure
There are 4 transformations and they are:- 1 Enlargement which reduces or increases a shape proportionally 2 Rotation moves a shape around a fixed point 3 Reflection which produces a mirror image 4 Translation which moves a shape into a different position
It is simply called an enlargement which is one of the four possible transformations on the Cartesian plane.
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.
The scale factor
A figure resulting from a transformation is called an IMAGE
It is the figure before any transformation was applied to it.
It is the image from the transformation.
A similar figure is proportionally the same shape as another figure and all the angles are the same.
A transformation that slides a figure horizontally is called a translation. A transformation that slides a figure vertically is also called a translation.