What Happens When The Scale Factor Is Less Than 1?

What is a dilation of 1 2?

In the video, Sal dilates the triangle under a scale of 1/2.

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..

What happens if the scale factor is 0?

If the scale factor is greater than 1, the image is an enlargement. (It expands) • If the scale factor is between 0 and 1, the image is a reduction. (It contracts) • If the scale factor is 1, the figure and the image are the exact same size (congruent).

What does a scale factor of 2 mean?

The size of an enlargement/reduction is described by its scale factor. For example, a scale factor of 2 means that the new shape is twice the size of the original. … You can get the ‘big’ and ‘small’ from the corresponding sides on the figures.

What is the scale factor of 1 5?

If the scale factor is 1/5, that means the original triangle would have dimensions 5 times larger than the current model. So if the current base is 5 units in size, the original triangle would be 5 times larger.

What is the coordinate rule for dilation?

First consider dilations with the origin as center. Then the coordinate rule for a dilation with scale factor k is simply this: (x, y) –> (kx, ky).

What is a scale factor in math in 7th grade?

VOCABULARY. ● Scale Factor: The ratio of any two corresponding lengths in two similar. geometric figures. ● Corresponding Angles: Angles in matching locations of two shapes.

What is a scale factor of 3 2?

This gives us the ratios 12/8, 15/10, and 9/6. These all reduce to the fraction 3/2, or 1 1/2 (the second triangle is a little less than twice as big). We usually leave the scale factor as a fraction, so we would say that the scale factor is 3/2.

What is a scale factor example?

A scale factor is a number which multiplies (“scales”) a quantity. For example,the “C” in y = Cx is the scale factor for x. If the equation were y = 5x, then the factor would be 5.

What does the scale factor mean?

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. Example: Here, XYUV=123=4 . So, the scale factor is 4 .

What is the rule for a 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 solve for scale factor?

As long as you know that the two shapes are similar, you can use one dimension on both figures to calculate the scale factor. For example, if you know the width of the shape, divide one width by the other to find the scale factor.

Can a scale factor be less than 0?

If the scale factor is equal to 1, then the enlarged shape will be the same size in the same place. If the scale factor is zero, then the shape will effectively disappear.

How do you calculate dilation?

To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.

What is a negative scale factor?

An enlargement using a negative scale factor will cause the enlargement to appear on the other side of the centre of enlargement; and will be inverted (upside down). The shape will also change size depending on the value of the enlargement.

What happens when a scale factor is 1?

The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.