How To Do A Dilation With A Negative Scale Factor

In order to graph a dilation use the center of dilation and the scale factor. Draw ray lines between the matching vertices.

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Dilation with a Negative Scale Factor.

How to do a dilation with a negative scale factor. To answer this problem we remember that the scale factor for a dilation can be calculated by comparing corresponding lengths on the object and its image. The shape is twice the size of the original scale factor 2. Find the vertices of the image of kite 𝐴 𝐵 𝐶 𝐷 after a dilation with scale factor.

For example replacing x by x05x122x has the effect of contracting toward the y-axis by a factor of 2. Use the formula for dilations. How to create a dilation of a geometric figure using a center of dilation and a negative scale factor.

Lesson slides for Draw an image of a dilation with a negative scale factor In this lesson you will learn how to draw an image of dilation with a negative scale factor by using the center of dilation at the origin on the coordinate plane. Multiply the coordinates of the original point 2 3 called the image by 4. Each vertex of ABCD is multiplied by ½.

Is 52 a reduction or an enlargement. Draw an image of a dilation with a negative scale factor. The next step is to take the scale factor 13 in this example and multiply it by the x and y-value of points M A S and H as follows.

As it has been inverted and the enlargement is on the opposite side of the centre of enlargement the scale factor. We can divide any length on the image which we can think of as a new length by the corresponding length on the object which we can think of as an original length. In this lesson you will learn how to draw an image of dilation with a negative scale factor by using the center of dilation at the origin on the coordinate plane.

What if the scale factor is negative. This means that the image A is twice as large as the pre-image A. Images coordinates 2 4 3 4 to get the coordinates of the image 8 12.

Find the distance between a point on the preimage and the center of dilation. The ray lines cross at the centre of enlargement 15. When a figure is dilated what type of figure is created.

Since the dilation scale factor is less than one the new figure will be smaller version of the original shrink. Like other transformations prime notation is used to distinguish the image fromthe pre-image. Which shape in the following figure is the image of shape 𝐴 after a dilation with a negative scale factor from the origin.

This video will show you how to create a dilation of a geometric figure using a center of dilation and a negative scale factor. The scale factor r determines how much bigger or smaller the dilation image will be compared to the preimage. If the scale factor of a dilation is negative then the image will be on the opposite side of the center of dilation compared with the object.

Multiply this length by the scale factor. It is inverted so it has a negative scale factor. How do you dilate with a scale factor.

Slides used in the main video lesson in PowerPoint format. The shape has changed size so it is an enlargement. If the value of scale factor k is negative the dilation takes place in the opposite direction from the center of dilation on the same straight line containing the center and the pre-image point.

Thus replacing x by -x has the effect of taking. Describe fully the transformation that maps shape A onto shape B. Starting with quadrilateral ABCD blue draw the dilation image of the quadrilateral with a center at the origin and a scale factor of ½.

The picture below shows a dilation with a scale factor of 2. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy Safety How YouTube works Test new features Press Copyright Contact us Creators. If the value of scale factor k is negative the dilation takes place in the opposite direction from the center of dilation on the same straight line containing the center and the pre-image point.

Dilation with scale factor 2 multiply by 2. Youll gain access to interventions extensions task implementation guides and more for this instructional video. Perform a Dilation of ½ on point A 2 4 which you can see in the picture below.

If A is negative we dilate by a factor of A and then flip about the y-axis. A shape can be enlarged with a negative scale factor. Start by writing down the coordinates of the vertices of figure MASH as follows.

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