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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.
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What is the transformation that reduces or enlarges a figure?
congruent figure
What is A transformation that is determined by a center point and a scale factor?
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.
What does it mean to dilate a figure?
To dilate a figure means to resize it while maintaining its shape and proportions. This transformation involves expanding or contracting the figure from a specific point called the center of dilation, using a scale factor that determines how much larger or smaller the figure will become. For example, a scale factor greater than one enlarges the figure, while a scale factor between zero and one reduces it. The relative positions of points in the figure remain consistent, preserving the figure's overall geometry.
What transformation produces a figure that is similar but not congruent?
A transformation that produces a figure that is similar but not congruent is a dilation. In a dilation, a figure is resized proportionally from a center point, resulting in a shape that maintains the same angles but alters side lengths. This means that while the two figures have the same shape, they differ in size, making them similar but not congruent.
What does dialation mean in math context?
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.
Is a transformation that proportionally reduces or enlarges a figure?
yes
Transformation that proportionally reduces or enlarges a figure?
Dilation is a linear transformation that enlarges or shrinks a figure proportionally. It is also referred to as uniform scaling in Euclidean geometry.
What is the transformation that reduces or enlarges a figure?
congruent figure
What is a transformation that proportionally reduces or enlarges a 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
What do you call a transformation that enlarges or reduces a figure?
It is simply called an enlargement which is one of the four possible transformations on the Cartesian plane.
What does dialation mean in math context?
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.
What decides if a figure enlarges or reduced?
The scale factor
A figure resulting from a transformation?
A figure resulting from a transformation is called an IMAGE
What is The original figure in a transformation?
It is the figure before any transformation was applied to it.
What is The new figure that is produced in a transformation?
It is the image from the transformation.
What is a simmilar figures?
A similar figure is proportionally the same shape as another figure and all the angles are the same.
What is a transformation that slides a figure horizontally and vertically called?
A transformation that slides a figure horizontally is called a translation. A transformation that slides a figure vertically is also called a translation.
