Please enter the coordinate value of the image and our calculator will know the coordinate value of the final Dilation image, with the help of the following step.
Dilation Calculator – The calculator guide provides a free online tool to calculate the centre point coordinate of any modified image after it gets transformed
What Is Dilation?
In Geometry mathematics, “A particular transformation in the size of an image without changing the original shape of the image is called dilation.”
Types of Dilation:
Mainly we have Four types of dilations.
Enlargement – When images are larger after dilation is called enlargement dilation.
Reduction – When images are smaller after dilation, called reduction dilation
Horizontal dilation – Horizontal Dilation is for a function Y = f(x), Which dilates the given function by C using the given equation.=f(Cx)
Vertical dilation – In the vertical dilation function, y = f(x) dilates vertically with scale C using the given equation Y=C∗f(x)
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What Is Scale Factor In Dilation?
Scale factor means the exact ratio of size-modified images compared to the original image. It define the transformation in the size of the image
How to Find the Scale Factor of a Dilation
For the scale factor, we have to find the center point of dilation & count the distance from the center to the pilgrimage point and the center point to point on the image. The ratio between both is called the scale factor.
Enter the value change in x and change in y of a length along with a shape or image pre and post-scaling to calculate the scale factor dilation.
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Scale Factor Dilation Formula
This is the formula used to calculate the scale factor dilation of any image or shape.
SF = X2/X1 = Y2/Y1
What is time dilation?
Time dilation means the difference in a time interval calculated by two viewers who moves to each other. In this case, the higher the velocity, is slower your move through time. It happens only when speeds are close to lights. 299 792 458 m / s
Time Dilation Calculator equation
How much faster did the ‘stationary’ twin age? It is possible to calculate the exact value with the time dilation equation –
Δt' = γΔt = Δt / √(1 - v²/c²)Δt'is the time that has passed as measured by the traveling observer (relative time);Δtis the time that has passed as measured by a stationary observer;vis the speed of the traveling observer;cis the speed of light (299,792,458 m/s); andγis called the Lorentz factor.
Characteristics Of Dilation:
In dilation distance, between point is changed, but some factors not changed, like angel, Parallel and perpendicular lines and the midpoints
Center of Dilation Calculator
Dilation: A dilation is an extension and a reduction in the size and location of a figure or point.
Scale Factor: The scale factor in a dilation is the quantity by which the figure is extended or reduced.
Centre of Dilation: The centre of dilation is a connection point used to scale a figure’s dilation properly. Given a point on the pre-image, (x1,y1)(x1,y1), and a related point on the dilated image, (x2,y2)(x2,y2), and the scale factor, kk, the area of the center of dilation, (xo, yo)(xo, yo) is
(xo=kx1−x2/k−1, yo=ky1−y2/k−1)
How Dilation Calculator Works?
To use the scale factor Dilation calculator, follow these steps.
- Select the number of inputs means the point
- Enter the X & Y coordinates of all points
- Enter dilation value
- Click on calculate button
- Our calculator shows you the final results.
Triangle Dilation Calculator
In Triangle Dilation Calculator, calculate the vertical & horizontal distance of tringle vertices from the centre of dilation and multiply this distance with the scale factor value to get the dilated tringles values.
Dilation FAQ
What do you mean by gravitational time dilation?
When a gravitational field generates a change in the time-lapse, then it is stated to be gravitational time dilation.
What is the difference between the scale factor ½ and 6?
If you multiply the scale factor ½ by the coordinates of the point of the actual image, the changed image will shrink for sure. But if you multiply the coordinates of the actual image with the scale factor of 6, the final image gets dilated.
What is the use of dilation in the field of chemistry?
In applications like thermal expansion and contraction, dilation has great significance as it is the change in the actual position.
What is the Dilation of 1.5 About the Origin
you must multiply by 1.5 in this case