Question: What Would It Mean For An Object To Be Dilated With A Scale Factor Of K 0?

How do you find the scale factor of a triangle?

Divide one of the sides in the bigger triangle by its corresponding side in the smaller triangle to determine the scale factor for the smaller triangle to the bigger triangle.

In the example, if you divided 40 by 20 you would get a scale factor of 2..

What is the rule for dilation?

A dilation is a type of transformation that enlarges or reduces a figure (called the preimage) to create a new figure (called the image)….Rules for Dilations.Scale Factor, \begin{align*}k\end{align*}Size change for preimage\begin{align*}k>1\end{align*}Dilation image is larger than preimage2 more rows•Apr 30, 2013

How do you dilate a triangle with a scale factor?

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.

What is a scale factor of 3?

A scale factor of 3 means that the new shape is three times the size of the original.

What is the scale factor of 1 3?

A scale factor of 1:3 means that one triangle is 3 times bigger than the other, for example. So, if the small triangle has a perimeter of 27, the big triangle has a perimeter 3 times as big. Doing the math, 3⋅27=81 – the big triangle’s perimeter, then, is 81 units.

What happens if the scale factor is less than 1?

No, if a Scale Factor is less than 1, you will be shrinking a shape. If it is greater than 1, it will be expanding.

What is a scale factor of 1 2?

As an example, think of two squares that are similar. One has a side length of 2 inches and another has a side length of 4 inches. This gives a scale factor of 1 : 2 from the small square to the large square. These two similar squares have a scale factor of 1 : 2 from the small square to the large square.

What is the formula for scale factor?

Suppose you have two similar figures , one larger than the other. The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Here, XYUV=123=4 . So, the scale factor is 4 .

What is a scale factor of a dilation?

Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs.

What does a scale factor of 0 K 1 do to a figure?

When the absolute value of the scale factor is between 0 and 1, the image will be smaller than the pre-image. (When -1< k < 0, the image is smaller, with a 180º rotation.) ... Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage).

How do you dilate 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).

Can you dilate a point?

dilating a point is really just dilating an imaginary line. You are dilating the space between two points.

How do you draw a dilation with a scale factor of 1 2?

To create a reduction with a scale factor of 1/2:Draw straight lines connecting each vertex of the image to the center of dilation.Use the compass to find the middle of each segment between the vertices and the center of dilation.Connect the new vertices to create the reduction image.