Scaling changes the size of a figure.
If the scale factor is greater than 1, the figure is enlarged;
if the scale factor is less than 1, the figure is reduced.
I the scale factor is equal to 1, the figure's size is unchanged.
If there is a centre of enlargement, the new figure can be drawn exactly by multiplying the distance of every point from the centre of enlargement, multiplying this by the scale factor and drawing the new point at this distance from the centre of enlargement. (For a polygonal figure, only the vertices need be measured and the lines between the vertices of the original figure drawn in).
With a centre of enlargement, the scale factor can be negative. In this case, the distance to the new points is measured on the opposite side of the centre to the original points, so that it is a straight line form the original point, through the centre to the new 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.
scale model
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
congruent figure
yes
Dilation is a linear transformation that enlarges or shrinks a figure proportionally. It is also referred to as uniform scaling in Euclidean geometry.
It is simply called an enlargement which is one of the four possible transformations on the Cartesian plane.
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
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scale model
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The scale factor
A figure resulting from a transformation is called an IMAGE
It is the figure before any transformation was applied to it.
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.