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A dilation is a type of transformation that changes the size of the image. The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is. Below is a picture of each type of dilation (one that gets larger and one that gest smaller).
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Oct 27, 2023 · Dilation, in its simplest form, is the act of enlarging or reducing a figure while maintaining its original shape. It's like zooming in or out on a camera: the object's proportions remain unchanged, but its overall size varies. In the realm of geometry, dilations are governed by a scale factor.
Jun 24, 2010 · This post explores one type of function transformation: “dilation”. If you are not familiar with “translation”, which is a simpler type of transformation, you may wish to read Function Translations: How to recognize and analyze them first.
Performing dilations. To dilate a point on a coordinate plane, you multiply its coordinates by a scale factor. The scale factor is a positive number that tells you how much to enlarge or shrink the point. If the scale factor is greater than 1, the point moves away from the origin.
- 3 min
- Sal Khan
If the point (x, y) is dilated by a factor of c about the origin, its image is the point (cx, cy). More generally, if the point (x, y) is dilated by a factor of c about the point (a,b), its image is the point (c(x - a) + a, c(y - b) + b).
- 2 min
- they are different kinds of transformations, dialations are non-rigid transformations because they do not keep the length of the shape, and transla...
- Rotation means you turn/rotate the shape around a point. Dilation means enlarging or shrinking the shape.
- Yes, you can apply any amount of these at once, think of having a equal triangle on a grid, you can flip it, move it up a bit then stretch out one...
- This is almost correct - angles are congruent. The exception to your statement is a scale factor of 1 which is a dilation, but it is the same lengt...
- A rigid transformation is a transformation that preserves the side lengths. The more technical way of saying this is that a rigid transformation is...
- yeah, i think that angles are preserved in dilation of a shape because Sal was just saying that in *dilation* which just scale up or down.
- Rotation means to turn the object/shape/line around: Example: > to < Both of these are the exact same size, and have the same ratios. The only diff...
- Yep! There's a transformation called "shear". Simply put, imagine taking a square and fixing the base of it. Then, push it in one direction to make...
The video explains how to find the scale factor of a dilation, and how to find the afterimage of a figure that went into a dilation (without the figure being drawn), and how to find the pre-image of a figure that went into a dilation (without the figure being drawn).
- 5 min
Jan 21, 2020 · With 13 worked examples, you'll learn how to apply Dilation Rules to solve for missing variables and create enlargements or reductions using scale factors.
