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What are the coordinates of the image of the point 3 6 after a dilation with a center of 0 0 and scale factor of 1 3?

What are the coordinates of the image of the point 3 6 after a dilation with a center of 0 0 and scale factor of 1 3?

Answer: The correct answer option is (-1, 2). Step-by-step explanation: We are given a point (-3,6) and we are supposed to dilate it to a scale factor of with reference to the origin or center i.e. point (0, 0).

Which of the following does not describes a dilation?

An Isometry does not describe a dilation. To dilate an image would be to change the size of an image, specifically by a certain amount, which is called the scale factor.

What is the image of 3/5 after a dilation by a scale factor of 5 centered at the origin?

A scale factor of 5 means that the new shape is five times the size of the original. The coordinates of the image of (3,−5) after dilation by a scale factor of 5 centered at the origin can be obtained by multiplying the original coordinates of the object point by 5.

How do you dilate a figure by a scale factor of 3?

Perform a Dilation of 3 on point A (2, 1) which you can see in the graph below. Multiply the coordinates of the original point (2, 1), called the image, by 3. Image’s coordinates = (2 3, 1 3) to get the coordinates of the image (6, 3).

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How does a dilation by a scale factor of 1/2 change the coordinates of a shape?

You multiply each of the coordinates in the coordinate plane by 1/2. It’s going to be a reduction because when you multiply something lower than one, you get a smaller number.

How do you find the dilation factor on a graph?

The scale factor, r, determines how much bigger or smaller the dilation image will be compared to the preimage. In order to graph a dilation, use the center of dilation and the scale factor. Find the distance between a point on the preimage and the center of dilation. Multiply this length by the scale factor.

Is a dilation a rigid motion?

A dilation is not considered a rigid motion because it does not preserve the distance between points.

How do you find the scale factor of a line segment dilation?

First, think of two points. One point on the line that you are dilating, another point on the target for that point. Find the scale factor by dividing the distance to the target by the distance to the point on the line that you are dilating.

How does the dilation affect angle measures?

Dilation (scaling) does not affect angle measure. It remains the same. That is, an image of an angle transformed by scaling is an angle of the same measure as an original.

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Do angle measures change in a dilation?

While they scale distances between points, dilations do not change angles. All lengths of line segments in the plane are scaled by the same factor when we apply a dilation.

Does dilation affect area?

When shapes are dilated (when they get bigger or smaller), perimeter changes linearly—in direct proportion with length—while area changes quadratically—in proportion to length squared.